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LAKEHEAD

UNIVERSITY

SCIENCE REVIE~
VOLUME 1

---

NUMBER 6

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60 cen. s&gt;

�caret
A LAKEHEAD UNIVERSITY SCIENCE REVIEW
in corpora ting
LAKEHEAD UNNERSITY MATHEMATICS GAZETTE

CARET IS PUBLISHED BY THE FACULTY OF SCIENCE OF LAKEHEAD UNIVERSITY,
THUNDER BAY, ONTARIO, CANADA. P7B 5E1

EDITOR
Dr. G. Harvais
Lakehead University

ASSOCIATE EDITOR
Mr. B. Spenceley

CONTENTS
Volume 1, Number 6, November 1975
A History of Photography

2

by Dr. A. D. Booth

Lakehead University

Culture, Politics and Geography: or .....
EDITORIAL BOARD
Mr. W. Bilbrough,
Lakeview High School,
Thunder Bay.

4

by Mr. Robert S. Dilley

The Strategy of Concentrated Fire Power

8

by Air Cadet L. Mathemaki (Ret'd)

Mr. G. Campbell,
Westgate Collegiate &amp; Vocational Institute,
Thunder Bay.

Mr. C. Gehrels,

Mathematics and the Arts Student

11

by Dr. C. C. Mutambirwa

Ontario Ministry of Education.

Mr. W. Lajoie,
Westgate Collegiate &amp; Vocational Institute,
Thunder Bay.

Mr. J. Palko,
Fort William Collegiate Institute,
Thunder Bay.

Mr. T. Reynolds,
Queen Elizabeth High School,
Sioux Lookout.

Challenges to Fishery Resource Management

The Marriage Problem

Printing: LU. Printshop
Design: LU. Media Services

15

by Professor L. Mathemaki

What is Topology?

17

by Dr. S.A. Naimpa/ly

Inductive Justification of Induction
Typesetting: ARGUS and friends

13

by Professor W. Mo mot

18

by Dr. Gunars Tomsons

Photo-degradable Plastics

21

by Dr. N.A. Weir

The Compound Microscope

24

by Mr. 8. Spenceley
THE VIEWS EXPRESSED IN CARET DO NOT NECESSARILY REFLECT THE OPINIONS OF THE
EDITOR, THE FACULTY OR THE UNIVERSITY.

OUR COVER relates to our article "A History of Photography" and depicts Durer's use
of the pin-hole camera.

�2.

AHISTOR OF PH
by: Dr. Andrew D. Booth
Lakehead University, Thunder Bay

A science more than 250 years old

The science, as distinct from the art, of
photography is now more than 250 years old
since the basic experiment on the blackening of
silver salts through the action of I ight was
conducted by J. H. Schulze in 1725. Schulze did
not make a photograph as we now understand it
but used a sensitive material which consisted of a
mixture of chalk and silver nitrate shaken up
with water in a bottle and used wet to record the
outline of a stencil placed between the emulsion
and the sun. Since the process was essentially a
wet one, there are no existing "photograms", to
use the modern term, dating from this time.
In 1777, C. W. Scheele noticed that silver
chloride was more quickly blackened by the
violet and blue rays of the spectrum than by the
others, and in a sense, this fundamental experiment is the basis of much modern work on
photographic emulsion sensitivity and its correction to record the same sort of image as seen by
the human eye.
In the year 1800, Thomas Wedgwood made
contact copies in silhouette form of leaves on
leather sensitized with silver nitrate. Again, there
was no fixing process used so that the results of
these experiments have long since disappeared.
The man most usually credited with the invention of photography was Nicephore Niepce
who, in 1816, made photographs using a
"camera" - that is, a dark chamber with an
appropriate lens - to produce photographs on
paper sensitized with silver chloride. These photographs were partially fixed using hypo and really
constitute the first artistic realization of what we
now cal I photography.
In the year 1819, Sir John Herschel discovered
that thiosulphates removed undeveloped silver
halides and thus made the images produced on
·paper by the action of light permanent. This led

H

in 1826 to the second relevant experiment of
Niepce who made a photograph from nature
using a lens system and a pewter plate sensitized
with bitumen. Niepce's camera of 1826 is interesting in that it contained a bellows for focussing
the lens and an iris diaphragm for controlling the
amount of light, although the degree of control is
debatable since the exposure was eight hours!
Recognizable artistic photography started in
1835 when L. J. M. Daguerre made direct
photographs on silvered copper plates coated with
a silver iodide. The latent image was developed
by mercury vapour, a most obnoxious substance,
and in 1837, it was found that the result could
be fixed using a solution of common salt. Thus,
the Daguerreotype was born.
The second contender for the honour of
invention of artistic photography was W. H. Fox
Talbot who, also in 1835, produced photogenic
drawings" on paper sensitized with silver chloride
and fixed with potassium iodide. Fox Talbot also
discovered that prolonged washing with water
would dissolve out the undeveloped chloride and
thus act as a fixative.
The period 1820 to 1840 was one of vigorous
scientific activity and readers should recollect the
work of Michael Faraday who, between 1828 and
1832, discovered most of the practical applications of electro-magnetism, including the transformer, the motor, and the electric generator.
The time was also an active one for microscopists, and in 1839, the Reverend J. B. Reade
made the first photomicrographs using a solar
microscope to record on paper sensitized with
silver nitrate and developed with gallic acid.
Fixing was achieved by immersion in sodium
thiosul phate.
The importance of the photographic process is
indicated by the fact that in 1839, the French
Government issued working instructions for the
creation of Daguerreotypes, and in the same year,
Sir John Herschel, son of Sir William mentioned
earlier, first coined the word photography" from
roots meaning writing with light.
11

11

�3.

1840 is an important date, since in this year,
J. Petzval established the basic theory required to
compute optical systems of photographic type.
The Petzval portrait lens is still in use.
In the same year, A. Wolcott opened the first
photographic portrait studio in New York City.
The Europeans had the art, but the Americans, as
usual, made the money I
1844 - first book illustrated photographically

1844 was an important date in the history of
photography since it was in that year that Fox
Talbot published the first part of "The Pencil of
Nature" which was the first book to be illustrated photographically. Copies of this book are
still extant, but it is a very rare book, and if a
copy ever came up for sale, it would fetch a very
large sum of money.
The birth of flash photography was not due to
Harold Edgerton as is usually thought, but to
Fox Talbot who, in 1851, made the first photographs of an object in rapid movement using an
electric spark. In the year 1852, the same
experimenter showed that gelatin was made insoluble when saturated with sodium biochromate
and exposed to light. This led to the first
practical process for half-tone printing.
'The technical processes of photography were in
a state of rapid change. The Daguerreotype
required special preparation for viewing. The later
wet processes were messy in application and were
replaced finally by dry processes using a transparent negative fol lowed by a positive.

It was not until 1871 that R. L. Maddox made
the first gelatin dry plates. These were extremely
slow, although subsequently improved, both as to
speed and to quality. With the coming of the
gelatin emulsion, the chemists concentrated on
finding reliable methods of development and Sir
William Abney, of Photometer fame, discovered
the virtues of hydroqwnone in 1880 and was
soon followed by H. B. Berkeley who, in 1882,
added sodium sulphite to the armoury of photographic developers.

1882 also marks the point of emergence of
orthochromatic plates - that is, plates whose
sensitivity resembled more that of the human eye
than did the original emulsions which, as we
mentioned earlier, displayed considerable sensitivity to blue and violet radiation but little to
anything else.
From this time on, the development of photography was rapid and the inventions came thick
and fast. Significant dates are 1888 when the first
Kodak roll film camera came on the market,
1891 when the physicist Lippmann produced the
first interference colour photographs, and 1906
when Wratten and Wainwright produced the first
panchromatic plates - that is, plates sensitive to
all col ours.
1914 saw the first Kodak colour photographic
process, but the real development of colour
photography had to await the work of Mannes
and Godowsky in 1935 when the Kodachrome
process was developed.

1861 - colour!

The last significant date was 1947 when Edwin
Land produced the one-step photographic process
now known as Polaroid.

All of this work was, of course, in black and
white or in some of the rather charming sepia
and gold tones produced by the replacement of
silver by such metals as gold and platinum, but in
the year 1861, J. Clerk Maxwell demonstrated the
first three-colour separation method for producing coloured images and thereby established
the basis of modern colour photography. The
work of Maxwel I was fol lowed quite quickly in
1868 by that of Ducos du Hauron who experimented with three-colour photography and discovered various methods of realizing it including
that of subtractive colour synthesis.

Along with the development of the chemistry
of the photographic process, optical systems and
cameras received a great deal of attention. The
first cameras were simply boxes with a lens in
front and a plate behind. Early lenses, which used
a very small aperture, did not require focussing,
in this respect they did not differ much from the
box Brownies of the 1930's and the inexpensive
plastic cameras of the present day! Because of
the slow emulsions, however, it became necessary
to develop lenses which would let in far more
light. This led to two interesting scientific kinds
of research: the first directed to the elimination

�4.

of the severe aberrations from which large aperture lenses suffered, and the second to the design
of lenses to produce distortion-free images. The
only important technical developments of the
nineteenth century were the addition of bellows
to enable the new and larger aperture lenses to be
properly focussed and the introduction first of
the Waterhouse diaphragm with its disc of circular
stops, and second of the iris diaphragm as a
means of controlling the amount of light falling
on the film. As films or plates became faster,
exposures became much shorter and this, in turn,
led to the mechanical development of shutters
which would work at high speed and at the same
time give reproducible results. Many and various
were the designs tried, ranging from pneumatic to
spring-driven sets of blades, and of course, roller
blind type apparatus, usually driven by springs,
which was the prototype of the modern focal
plane shutter.

miniature, spy cameras

The late nineteenth century produced a rash of
spy cameras, smal I and unobtrusive devices which
were the prototypes of the modern miniature
cameras. These were designed to take pictures of
one's friends in embarrassing situations, to say
nothing of their use by the emerging race of
scientific detectives typified by Mr. Sherlock
Holmes.
The first miniature cameras in the
modern sense were the Ermanox used to great
effect by the famous photographer, Dr. Salomon
and, of course, the Leica, the grandfather of all
modern miniature 35 mm. cameras. The explosion
of photographic technology of the 1960's and the
introduction of electronics, both for light metering and for shutter automation have produced a
real revolution in the use of the camera. No
longer does the photographer have to have any
real skill. What he needs is artistic perception.
The automation does the rest.

CULTURE,

POLITICS AND GEOGRAPHY:
or Cymru Am Byth Is A Fine Slogan, But What Does It Mean?
by Mr. Robert S. Dilley

Lakehead University

While there are almost as many definitions of
geography as there are geographers, few would
deny that one of the most basic concerns of the
subject is with distributions: where things are,
why they are there, and how they rel ate to other
things. Such investigations can take nany forms:
the distribution of crop-growing and its relationship with rainfall; the distribution of coal and its
relationship with unemployment, and so on. In
each case two (or more) phenomena are mapped,
and attempts made to measure and explain any
similarities in their distributions. For example,
consider the relationship between minority cultural traits and minority political parties. In the
case of Wales the historic national tongue is
Welsh, a Celtic language with no recognizable
relationship with English. It is found only in
Wales and among a few expatriates, though
Welsh-speakers tend to lose their lang1age quickly
on emigration. About one-fifth of the population
currently speaks Welsh (Map 1 ), tho·Jgh virtually

all are bilingual in English (Welsh monoglots
account for little over 1% of the t:&gt;tal population). Welsh-speaking is strongest i1 the rural
areas of the north and west; lovvest in the
industrial south, along the English b0rder and in
Pembrokeshire, "little England beyond Wales".
Being exclusive to the Welsh it provides a strong
focus for national cultural identity; even nonWelsh-speaki ng Welshmen delight in the average
Englishman's inability to pronounce place-names
such as Pwllheli, Llanllwchaiarn and Llanfihangel
yng Ngwynfa.
Welsh nationalism as a significant political
force is a new phenomenon; after ye1rs of being
the butt of jokes about lost deposits the Plaid
Cymru (pronounced approximately ,iplide comeree", with the emphasis on "come") attained
respectabi Iity when its President, Gwyn for Evans,
was elected in a Carmarthen by-election in 1966.
Last year's October election was their most
successful (Map 2) when they gained 10% of the
popular vote and three M.P.s; in Carmarthen
(Gwyn for
Evans
again),
Caern uvon
and
Merioneth.

�5.
The general relationship between Plaid Cymru
and the Welsh language is apparent from the
maps (for simplicity, data are grouped by
counties: Glamorgan, for example, returns 17
M.P.s; Brecknock and Radnor share one between
them). Correlating percentage Welsh-speaking with
percentage vote for the Plaid Cymru m a county
basis provides a coefficient of + 0.83, significant
at the 0.1% level. This is an indication of a very
strong positive relationship. Such relationships, of
course, must not simply be pulled out of the
statistical hat and held up for wonderment. In
some cases high correlations may be due to
chance; more often to the overriding influence of
some third factor on both elements being studied.
Before drawing maps or running correlations the
researcher must have good reason to expect to
find a relationship. In the case of Welsh and
Welsh nationalism the connection is clear: the
party has made great use of the language as a
rallying-point or standard: although only a minority is fluent most Welshmen know at least a few
words and have a sentimental attachment to the
symbol of their difference from the saesneg
(Saxon; i.e. Englishman). Appeals to hwyl (intensely sentimental Welsh emotionalism, seen at its
quintessential best just after one of the regular
Welsh rugby football defeats of the England side)
are, more effective when couched in Welsh.
Conversely, non-speakers of Welsh may become
irritated by the noisy waving of the linguistic
flag, and less inclined therefore to vote for the
Plaid Cymru.
The relationship, clearly, is not perfect. The
percentage vote for the Plaid Cymru at the last
election was only half the Welsh-speaking percentage, and it did not fol low the language distribution absolutely. People vote for a variety of
reasons, and will not automatically support a
party just because it is the only one to espouse
their language. Many nationalistic Welsh-speakers
on Anglesey voted for the Labour M. P. Cledwyn
Hughes, a prominent and much-admired advocate
of the Welsh cause. In the heavily Englishspeaking, coal-mining and steel-producing areas of
Glamorgan and Monmouth the vote has traditionally been monolithically Labour: in 1966 the area
returned 21 Labour M. P s and one Conservative.
However, the failure of successive Labour governments to improve the South Wales economy

sufficiently has led to a certain amount of protest
voting. The rural areas have tended to go Tory
(they now have 4 members). The miners would
sooner vote for a Martian than a Conservative (at
the last election Abertillery voted 76% Labour
and Rhondda 77%), but an increasing number
feel safe in registering their irritation by giving
their vote to Plaid Cymru. Thus the Anglesey
vote is rather lower than might be expected; that
of the industrial south a little higher. If space
permitted these residuals, or differences from the
expected figures, could be mapped and more

eas i Iy observed.
At this level of study only crude approximations can be made. Greater accuracy would be
obtained by breaking the counties down into
their individual constituencies (smaller division is
impossible, as British elections are not declared
on a poll-by-poll basis: the ballots are taken to a
central location and deliberately mixed before
being counted). Similar studies could be made of
other areas where linkages of cultural phenomena
and political allegiance are suspected. It might be
interesting, for example, to compare Francophone
areas and votes for the Parti Quebecois. There
would not, however, be any point in relating
votes for the Scottish Nationalist Party to the
Gaelic tongue. Very few Scots speak the language
(little over 1%) and they are highly localized in
the Western Highlands and Islands. The S. N. P.
concentrates more on economic and governmental
issues and has wider appeal than the culturallyoriented Plaid Cymru (the S. N. P. polled nearly
30% of the Scottish vote last year, overtaking the
Tories).
Thus Plaid Cymru sentiment is clearly linked
with the Welsh language. It might seem advantageous for the party to foster this link, and to aim
to collect the other half of the Welsh-speaking
vote. However, this could be risky in the long
term, as the Welsh-speaking percentage is shrinking and the Anglophone majority may be repelled. Plaid Cymru votes in largely English-speaking
areas such as Pembroke (4.5%), Barry, Glamorgan
(3.3%) and Monmouth ( 1.4%) suggest that
"Cymru am byth" (Wales for ever) has less
meaning there. Studies such as this can at least
provide the basis from which political decisions
must be made.

�MAP 2, 1974 PLAID CYMRU VOTE AS A PERCENTAGE
OF THOSE VOTING.

MAP I, PERCENTAGE OF POPULATION OVER 3 YEARS
OLD ABLE TO SPEAK WELSH.

.

::::

~~:.: ::::::=~

CJ
ITIIIID
Ea
[:?\:{{::j

CJ
20-29
30-39

~

-

40-49
~
50-59

~

-

0-4

,.:::i

CJ5-9

60-69

;;;;

E3
V &gt;
&lt;

1

10-14
15-19

-£%1 20- 24

mm

25-29
................... 30-34

;;;;

8i~ ✓
-

Source, Census of Britain, 1971.

Source

0

The Times,

12 October 1974

°'

�7

MAP 3, COUNTIES OF WALES

�8.

THE ST

TE y

F

by: Air Cadet L. Mathemaki (Ret'd)
Director of the Div is ion
of Theoretical War fa re

1: INTRODUCTION. With the increasing
mathematization of the social and natural
sciences, most math teachers find they must
drastically modify and update their course
contents, in order to maintain at least a
semblance of relevance. Gone are the days
when students would be content with only
physical and geometrical applications of the
calculus, for examplel Now most high school
calculus courses must contain applications to
economics, biology, sociology and psychology,
even if they are of an extremely idealized
nature.
Thus, the following very simple application
of calculus to warfare might appeal to a good
student, although it may be difficult to persuade him/her that it is really of practical
value. At the very least, the main result is both
easy to obtain and completely unexpected two good qualities rarely occurring together!
2: A SHORT HISTORY OF WARFARE. We
deal with battles between two opposing forces.
, Battles in primitive times probably consisted of
a lot of individual hand-to-hand fights; the
essential point for us is that the weapons fists, clubs, spears - were not long range
weapons: it was impossible to concentrate the
power of many soldiers on one opponent. Thus
if, for example, we had two such armies, one
with 100 men and one with 200, we would
expect - if the soldiers are equally profficient that the result would be annihilation of the
first army and 100 survivors from the second.
The battle could simply be fought by letting
half the second army act as spectators, while
everyone else is killed.
Nowadays things are different and undoubtedly much improved. Long range weapons
enable armies to concentrate their fire power
and, as we shall see, this can lead to unexpected advantages. There are some pretty obvious
~xamples: perhaps the battle of Agincourt was
the most spectacular - the long range weapons
of the English (bows and arrows) annihilated
the the larger French army, whose weapons
were short range.

E T

TE

Fl E P

Nearer our own time, the use of field
artillery in the Russo-Japanese war, and now,
the anticipated use of inter-continental ballistic
missiles, indicate how far we have come from
clubs and swords. Interested history students
might profitably analyse some modern battles
using the concepts we will now introduce.
'

3:

A
MATHEMATICAL
MODEL FOR
MODERN WARFARE.
We consider two opposing forces, the red
and the blue armies, of sizes r(t}, b(t), respectively, at any time t. We will measure time from
the beginning of the battle, so r(0), b(O) are
the initial sizes of the armies. Of course, we
could measure the sizes, not in terms of
soldiers, but in terms of battalion, ships, etc.,
whatever is convenient. We assume that each
soldier (battalion, ship) in the red army is
equally effective in warfare, and that he can
concentrate his fire power in any way, so that,
throughout the battle he kills R blue soldiers
every minute. Similarly, each blue soldier kills
B red soldiers every minute; R and B are fixed
numbers.
Consider what happens in a short time
interval from t to t+h minutes during the
battle. The number of red soldiers killed is, by
the definition of r,
-(r(t+h)-r(t) ).
On the other hand, if the time interval is short,
the size of the blue army hasn't changed much
in this time, and thus is approximately b(t) its size at the beginning - so the number of red
soldiers killed is

b (t) • B • h
by the definition of the kill rate B. Thus, for
values of h near 0,
r(t + h) -- r(t) % -b(t) . 8 . h

so
r(t+h)-r(t) % -b(t) . B
h
Since this approximation improves as h approaches 0, we have

ER

�9.
dr
dt= -b. B

(Calculus!) Similarly,
db = -r• R

dt
and so, after a bit of algebra
b • B • db = r • R • dr

dt

dt

If we integrate both sides with respect to time,
we get the unexpected result:
'b2 B - r2 R is independant of time
Let us2 cal I b 2 B the strength of the blue army
and r . R the strength of the red army. We have
shown that tne difference in strength is conI

stant throughout the the battle.

Examples : 1. Consider a battle between 10
machine gunners (the red army) and 100
infantrymen (the blue army), and assume the
kill rate of the machine gunners is 16 times
that of the infantrymen. Let us measure time
so the rates are 16 and 1. Initially, the
, strengths are:
machine gunners= 16. 10 2 = 1600
infantrymen = 1 • ( 100 ) 7 = 10000
and so, at any time,
b(t) 2

16r(t) 2 = 10,000 - 1,600 = 8,400

The battle will end when one side is vanquished - when b(t) or r(t) is 0. Clearly, b(t) will
never be 0:
b(t) 7 = 8,400 + 16r(t) 2

so, at the end, r(t) = 0 and b(t) =J8,400 = 91.
Only nine infantrymen have been killed, and
all 10 of the machine gunners die in spite of
the fact that they are, individualy, 16 times
more effective in killing! A rather surprising
result.
2. The above example was rather an uneven
contest - the machine gunners were quite
overwhelmed. Let's consider a more equal
match: 10 machine gunners against 60 infant-

rymen. The infantry is the stronger, by 2000,
so a battle would result in it winning, with 45
infantrymen left.
But suppose the machine gunners use a bit
of strategy, and manage to break the battle
into a series of battles, in each one of which
they all atack 20 infantrymen. The results are:
(i) 10 mgs vs 20 inf. : 8 mgs survive
(ii) 8 mgs vs 20 inf. : 3 mgs survive
(iii) 6 mgs vs 20 inf. : 3 mgs survive
The machine gunners have won!
Thus we see that a bit of strategy can win
against what, at first glance, appears to be
overwhelming force. Of course, the enemy
general has to be rather stupid to allow his
army tn be picked off ·piecemeal, but this is
what often occurs in practice. A small force is
sent to divert a larger part of the enemy; their
job is simply to pin down a lot of soldiers
while their comrades defeat the small remainder. Then they keep regrouping until they win.
A naval battle, during the days of sailing ships,
would be a good example of this - in that no
diversionary force is needed if the wind is right
- the attacking admiral hits his opponents part
way down the line and lets the wind carry off
a portion of the enemy fleet. By the time it
has been turned around to re-enter the fight,
the next phase has started. Nelson used this
ploy at Trafalgar; this has been analysed by
Lankester in his classic paper [3]. We will give
a slightly different interpretation.
4: THE BATTLE OF TRAFALGAR RERUN.
Up to 1782, there was no 'naval strategy' - it
was 'line up, and attack ship-to-ship'. But in
1782 the British admiral Rodney, probably by
accident, broke through the enemy line and by
concentrating on his centre and rear, won a
victory. This prepared the military mind for
Nelson's strategy at Trafalgar. It was known
that Nelson would favour Rodney's strategy;
the French admiral, Villeneuve, stated before
the battle that "the British fleet will not be
formed in a line-of-battle parallel to the combined (ie. the French and Spanish) fleet according to the usage of former days. Nelson
will seek to break our line, envelop our rear,
and overpower with groups of his ships as
many as he can isolate and cut off. Why the
French
and
Spanish
admirals let Nelson dictate the strategy is a
matter for military historians; the answer may
lie in the fact that the French believed their

�10.
reverses at sea were due to the introduction of
tactics, which one of their admirals had castigated as a "veil of timidity". Also, due to the
British blockade, the French sailors at that
time were so untrained they couldn't manoeuvre
their ships - but they were more accurate at
gunnery, so long-range warfare should have
been congenial for them.
At any rate, Nelson and his aides,
Collingwood and Keats, planned the battle as
follows: They assumed they would have 40
ships, and the enemy would have 46. The
British fleet was to attack in 3 columns, as
below.

\ \\

wind

. . . _ ,_ _ _ _ . _ _ _ _ _ _ . _ _. . . ,_ _ _ _

12

12

4

In fact, these tactics
part of Nelson's fleet
•convoy to Malta, and
formed two lines; the
great detai I in [ 1] .

--►.,.,.

18

Combined fleet
Assuming the wind carried the 18 ships out of
the battle, and that it broke into 3 separate
battles:
16 British vs 12 Combined
16 British vs 12 Combined
8 British vs 4 Combined,
resulting in 27 British ships surviving, and then
the final battle of 27 British against 18
Combined, the net result is that 20 British
ships are left. If the usual 'line of battle' attack
had been used, the combined fleet would have
won, with 20 ships, and most of us would
speak French.

•

were changed because
had to accompany a
in the battle he only
battle is described in

5: MORE APPLICATIONS. It would be interesting to apply these ideas to modern battles,
to see if the military strategists could have
been using - perhaps in an intuitive way - the
quantitative results we can get. A 'dictionary
of battles' - there are quite a few in print, and
they should be available in the reference
section of most school libraries - is all that
would be needed.
There may be applications to other situations to; polymer chemistry and molecular
biology might contain intersting applications.
Also, the mathematics of the situation has not,
to my knowledge, really been investigated. The
Iength of battle can be found; the answer
involves the hyperbolic functions. The strength
of an army consisting of several different types
of weapons is certainly not that given in [3] ,
and appears to depend on the opposition, but I
have not found even an approximate explicit
form for it. What is the size of an overwhelming force?, one that will win no matter what
strategy is used. How can we find a best

strategy?
Other mathematical problems may suggest
themselves; I would be glad to hear of them.
REFERENCES:
1. Major General J. F. C. Fuller; The Decisive Battles of
the Western World, Vol. 2, a Paladin paperback.
2. Major General B. P. Hughes, Firepower. Weapon Effectiveness on the battlefield 1630-1850, Arms and Armour
Press.
3. F. W. Lancaster; Mathematic5, in Warfare; The World of
Mathematics, Vol 4, Simon and Schuster.

Synonyms
Glycerol and gylcerine are used for the same
compound which is a trihydric alcohol. Hence
the former spelling with an -ol ending is
preferred.

Glycine is an amino acid (also known as
aminoacetic acid) while glycinol (also called
2-aminoethanol, ethanolamine, monoethanolamine) lacks the carboxylic group.

Xylene and xylol are also used synonymously
but the compound is not an alcohol but a
homologue of benzene. The first spelling is
preferred.

Glycol: common name given to ethylene glycol.

t

�11.

ATHE

Tl S

by: Dr. C. C. Mutambirwa
lakehead University

The mathematical needs of t 1e Arts student
have increased very much in recent years. This is
particularly so for the student intending to major
in any one or more of the social sciences,
namely, Anthropology, Economics, Geography,
Political Science, Psychology and Sociology. Unfortunately a large number of such students still
enter college or university with limited mathematical preparation at the high school level.
Most Arts-bound students drop out of the high
school mathematics program because of real or
imagined fears of mathematics as a hard subject.
Others drop out because of the misconceptions
(also held by several teachers) that high school
mathematics is not essential to the Arts major.
The lack of a significant change in this state of
affairs seems to lie in the pure Science bias
contained in most high school mathematics
curricula which have failed to include explicitly
material suitable for the needs of the Social
'Scientist. Lately, however, the growing importance of mathematics to the social sciences is
being recognized. The Secondary Schools Statistics Project which was launched just over two
years ago at the University of Western Ontario is
one evidence of this recognition. Since then high
school mathematics teachers have held related
seminars designed to revise the high school
curriculum (especially the statistics program)
accordingly.
The growing importance of mathematics to the
social sciences has been demonstrated by the
results arising from the study under the auspices
of the project noted above. (See MacNeil, 1975,
"The Social Scientists' View Of High School
Mathematics", in Ontario Mathematics Gazette
Vol. 13, No. 3, pp167-186). Using questionnaires,
a poll (80% response) of social scientists in
Ontario Universities was conducted to determine
their opinions on mathematics curricula. Three
sets of questions were asked. The first set asked
the social scientists to indicate the value of eleven
major mathematics topics to their undergraduate
programs. The second set asked for the antici-

T E

TS ST

E T

pated future mathematical needs of the social
sciences. The third requested them to rate the
importance of various statistics and probability
topks to the social sciences programs.
The results of the statistical analyses of responses to the above sets of questions show that:
I. Statistics, probabi I ity and the basic concepts
of algebra are very useful to the secondary
school mathematics program and hence also to
the university social science programs. (Table 1
refers).
2. The relatively recent and modern aspects of
the mathematics curriculum, which include
computer science, probability, statistics and
matrix algebra, will be of increasing importance
to the social sciences. (see Table 2).
3. Data tabulation methods, measures of
central tendency and of disperson should be
part of the high school statistics course. In
addition the high school student should be
introduced to the elementary concepts on
probability theory (probability measures, mathematical expectation, etc.), statistical inference,
simple correlation and regression analysis, common experimental designs and associated analysis of variance, and some nonparametric tests.
At the request of the survey some general
comments concerning the secondary school mathematics program in particular, were appended to
the questionnaires by the social scientists. The
majority of the comments expressed the opinion
that greater preparation of secondary school
students in basic mathematics is very necessary
and mathematics should be mandatory for all
students. However, there are some reservations
about the type and depth of statistics to be
taught at high school level. It was generally felt
that only the elementary topics in statistics could
be taught with the intention of showing the
secondary school student that statistics inter alia,
is an integral part of most social science programs. Complete and detailed statistics courses
could be left to the colleges and universities by

which time the relevance of statistics to the social
sciences becomes clearer and the subject can be
easily integrated into a specific social science
major.

�12.

Mathematics and statistics have become part
and parcel of most social science programs.
Several recent publications in the social sciences
clearly show this to be the case. The growth of a
scientific methodology in the social sciences, the
development of computer technology and the
magnitude and complexity of the real-world
problems have all led to the adoption of quantitative approaches to problem solving. These developments require substantial mathematical skills in the arts student, just as much as the pure science
student must develop some skills in the social
sciences if his or her scientific endeavours are to
have any relevance to the more immediate problems of the real world.
....,

Scale:
1 of no use
2 of limited use
3 a useful topic
4 very useful
5 indispensible
TOPIC
Nn

V)

V)

u

·e0
C:

&gt;,

';

C.
l'CS

OQ.I
•r-U

0)

•r-Q.I

.c:
s..

0

0

I.LI

(.!J

u

Q.I

....,c:

,--,OU
0..V')

~

0

0

.c:

u

&gt;,
V)

a..

ol:S

&gt;,
0)

0

&gt;,.0)

0

0 C.
,- 0
0 s..

•,-.C:

0....,
0 C:

U') c:(

TOPIC MATHEMATICS TOPIC
NO.

0.

"'s..

,7l

,~

0

c:,,

';
u Q)
·~
+&gt; Cu

..-Q)

2:~

~

0

'.g
u
!!'

&gt;,

0

os.. u

5.5l

s -

Q)

C

}

~ ....
'=

1

Algebra. Bas 1c Concepts

0.455 0.500 0.300 0.133

2

Set theory. Basic
concepts.

0.364 0.417

3

Euc 1 i dean geometry.

-0.182 0.167

4

Analytic geometry.

-0.100 0.000 0.111

5

Trigonometry

-0.091 0.091

6

Differential &amp;
integra 1 cal cul us.

0.636

0.300

0.200

0.667

0.441

7

Matrix .algebra

0.636

0.500 0.667

0.750

0.661

8

Statistics

0.455 0.833

0.800 0.600

0.667

0.667

0.333

0.350

0.429

0.364

0.373

0.000 0.214

-0.091

0.070

0.000

0.000

0.035

0.100 0.143

0.000

0.052

0.273

Probability.

0.364 0.909 0.600 0.688

0.750

0.667

10

Computer progralTllli ng.

0.364 0.750 0.700 0.813

0.833

0.705

11

Actuaria 1 mathematics.

0.000 0.000

0.000

0.083

9

-0.300 0.143

C:
Q.I

.p
s..

l'CS 0
C. Q.I
Q.I C:
-0.,..

..0

.- E

,- 0
c:( 0

MATHEMATICS TOPICS

1

Algebra. Basic
concepts

2

Set theory.
concepts.

3

Euclidean geometry 3.09 B.50 1.36 2.19 l.92 ~.37

4

Analytic geometry. 2. 91 2.92 1.45 2.25 2.42 2.40

5

Trigonometry.

6

Differential &amp;
3.55 3.00 2 .18 2.56 2.58 g.]6
integral calculus.

7

Matrix algebra.

3.64 3.54 2.55 2.60 3.08 3.07

8

Statistics.

3.82 4.00 4.09 4.13 4.08

9

Probabi 1i ty

3.55 3.85 3.73 3.88 3.75 3.76

Table 2
Average responee to predicted future importance of mathematics topics for
soaiaZ sdence diadptines.

Ian B. MacNeil. 1975, "The Social Scientist's View of High
School Mathematics", Ontario Mathematics Gazetter,
Vol. 13, No. 3. p. 18 .

4.27 4.38 2.73 4.00 3.92 3.89

Basic 3.45 l3.46 2.55 3.13 3.00 (3.13

2.20 l3.45 1.18 l.94 l.92 2.15

L03

10

Computer program- 3.00 t3.54 3.00 3.25 3.50 B.27
ming.

11

Actuarial mathematics.

2.09 h .64 1.50 l.81 1.92 1.80
TABLE l

Average response to importance of mathematias for soaial
saience disaiplines.

Source:

"'u

~s::::

Ian B. MacNeil, 1975, "The Social Scientist's View
of High School Mathematics", Ontario
Mathematics Gazetter, Vol. 1 3 ~ , p.180.

SOLUTION TO PREVIOUS PUZZLE:

FLIERS, STINGERS AND BITERS

�13.

CHALLENGES TO FISHERY RESOURCE
by: Professor W. Momot
Lakehead University

Although fisheries management has existed
as a discrete discipline for only 40 years, there
has been a greater impact on our fishery
resources during this short time than in the
past six thousand years of recorded history.
While the burgeoning populations of the third
world depend increasingly on fish as a source
of protein, the fish supply is decreasing. The
annual world fish catch has failed to increase
for the second time since World War 11. Latest
figures gathered by the F AO, the food and
agricultural organization of the United Nations,
show that the world catch of all species for
1972 was 65.6 million metric tons, down 4.1
million tons from the previous year.
The need for protein has led to fierce
international competition for the ocean's fishery resources. Many traditional fishing grounds
are harvested so intensively that some of our
most important commercial species have been
thoroughly over-exploited. Much of the declining fish catch in the United States and Canada
can be directly traced to increased competition
from foreign fleets. This has occurred in the
haddock fisheries of the north Atlantic. Despite
establishment
of
the
International
Commission for Northwest Atlantic Fisheries,
which deals with the problems created when
several nations exploit a common resource in
international waters, satisfactory regulatory
action has not been attained. As traditional
fisheries decline the fishing nations of the
world turn to other resources, and the same
pattern of over-exploitation is repeated again
and again. Even such oceanic fisheries as that
for the Pacific salmons, Pacific halibut, and
tropical tunas, which have yielded substantial
catches over the past few decades, are being
placed under more and more pressure.
Another facet of this intense competition is
the attempt by some coastal nations to limit
access to their offshore resources by extending
their coastal jurisdiction to the edge of the
continental shelf or to some other fixed point
usually given as 200 miles offshore or 200
meters in depth. This is true not only of
underdeveloped countries but also of traditional fishing nations such as Iceland, whose entire

ANAGE ENT

economy is dependent on its offshore cod
fishery. Canada has also threatened similar
action. Several international incidents have
been directly tied to the problem of sharing a
fisheries resource or to disputes over conflicting uses of a resource within a given area, for
example, the conflict between United States
lobster fishermen and Russian trawlers off the
New England coast. In a few cases a fishery is
regulated by treaty. This is true for the Pacific
salmon which is shared by the United States,
Canada and Japan. However, si nee the treaty
only governs these three nations, what happens
when other countries not regulated by any
agreements attempt to share this resource? The
problems resulting from international conflicts
over marine fish resources are among the most
challenging and complex we can define for the
renewable resource manager.
Because of their need for protein, aquaculture of food fishes constitutes an important
resource for the underdeveloped nations of the
world. However, many of these countries already have an extensive development of these
resources. As poorly developed nations attempt
to raise their standard of living, they will put
greater and greater demands on protein sources
such as grain crops, fish meal and even beef
cattle. Thus, they will come into direct competition with more affluent countries. For
European nations which depend on imports of
meat or high protein feeds to raise beef or
dairy cattle such competition will become a
serious problem. Though Canada and the United States produce enough food for their own
use, how can they morally disregard the needs
of four-fifths of humanity? In addition, they
are caught up in the international balance-ofpayments problem and numerous treaty obi igations. Thus, the fisheries resources of the world
remain unalterably tied to questions of moral,
political, and social values.
An even greater problem facing freshwater
and coastal estuarine resources is the continuous degradation of the environment and the
concomittant changes in the fish populations.
Although we do not directly consider the well
documented problem of pollution and its effects on aquatic organisms, it is certainly
important in many of our fisheries. It has had
a direct bearing on the development of certain

�14.

fisheries resources such as the Great Lakes
fisheries, notably in Lakes Ontario and Erie.
However certain fisheries in the upper Great
Lakes have also been affected.
In view of these serious problems, the need
for recreation may seem of diminished importance. Yet it continues to dominate the inland
freshwater fisheries of the affluent western
world. In island waters, sport and commercial
fisheries are often in direct competition for a
common resource and even when they compete
for different resources within a commonly
shared area, conflicts are just as serious. The
Great Lakes fisheries constitute an outstanding
example of this sort of conflict. Regulation of
these fisheries is made even more complex
since jurisdiction is both international and
interstate.
Inland sport fisheries are also faced with a
myriad of other problems. The development of
an _indu~trialized, urban society with a seemingly insatiable demand for recreational space has
created a paradoxical situation; the masses of
modern man are densely concentrated while
the resources are usually located at great
distances from these population centres. However, with improvements in transportation and
the general affluence of the public even once
remote resource bases are hard put to produce
satisfactory recreational experiences. Fishery
managers are thus faced with the task of
providing satisfactory. yields and dealing with
the incremental and continuous degradation of
existing resources. Certain resources such as
streams continue to be degraded at a rate,
which if continued, will soon make them a
rarity as a fishery resource. The construction
of impoundments have created new fishery
resources, yet their management remains quite
primitive. Of immediate concern is the loss of
existing fishable waters near urban centers. The
increasing demand for such waters continues to
tax the most imaginative and creative minds in
the field of fisheries administration. Finally,
where demand is greater than supply, certain
special interst groups usually bring pressure on
administrators to propose legislation favouring
their use of the resource. This tends to exclude
the less organized, more general sportsman.
Attempts to restrict both the harvest and the
use of a resource to special interest groups continues to be one of the most challenging
problems in sport fishery management.

Coastal marine fisheries are faced with many
of the same problems as inland freshwater
fisheries. In addition to the pollution of the
environment, there is an increasing demand for
salt water based recreation plus conflicts over
the commercial and/or sport use of many
marine fish and shellfish.
Thus, the cha I lenges facing the fishery manager are as complex, formidable and numerous
as any in the field of renewable natural
resources. They include the major problems
confronting man today: over-population of the
third world, the stark reality of protein starvation for four-fifths of humanity, insidious and
incremental destruction of the world's natural
resources at a time of resource scarcity, increasing competition between wealthy and developing nations for the resources that remain
and the psychological impact of coping with a
technological world at a time when the safety
valve provided by outdoor space is vanishing or
being altered. Even though advances in science
and technology have been the cause of many
of these problems, they can also be used to
formulate effective solutions. However, the
proper application of these solutions will also
depend on the social and political wisdom of
mankind.
We are on the verge of spectacular breakthroughs in the field of ecosystem manage-

ment, but man's greatest achievement will be
in finding the social and political answers to
make the "wise" use of his renewable natural
resources a reality for succeeding generations.

I.

and

11/11/75

�15.

TH

RI

by L. Mathemaki,
Professor of Mathematical Marriage Counselling

Most mathematics has its roots in very practical problems and, for most of us, one very
practical problem we have all encountered ·- and
some of us have solved - is: "how many
acquaintances must one have in order to get
married without undue competition?".
I will pose this problem in a typical idealized
way: we will consider a set B of boys, and set G
of girls; each boy wishes to marry an acquaintance from G; perhaps a boy will not know all
the girls in G. Bigamy will not be allowed, and
we wish to attain the typical male-chauvinist goal
that all the boys get married, without regard for
left-over girls.
Let's consider an example: we have four boys,
improbably named I, 2, 3, and 4. Each boy knows
some girls, any one of whom he would not mind
marrying. Let us call the girls A, B, C, D, and
suppose the acquaintances are
Boy
1

2
3
4

His acquaintances
A
A,B
B,C
A,C,D,

If all the boys are to be married, 1 must marry
A, so 2 must marry B, 3 must marry C, and 4
must marry D. In this case, all the boys can get
married, and in fact there is only one possible
way they can pair off.
Another example: suppose the 'acquaintance
table' is:
Boy
His acquaintances
1
2

3
4

A,B
A,B
A,B
A,B,C,D,

In this case marriage is impossible: the boys
I, 2, 3, only have two girls to choose from.
Thus we see that sometimes marriage is possible and sometimes it isn't. The marriage problem
is simply to determine conditions which will
guarantee the possibility of marriage.

To solve the problem, let's return to the
general situation - the two sets B,G - and
suppose all the boys can be married off. Consider
any set C of boys from B (that is, consider any
subset C of B) and denote by F (C) the set of
those girls from G each of whom knows a boy
in C.
For instance, in our first example we have F(3)
= (B,C); F(1,2) = (A,B), F(2,3,4) = (A,B,C,D,),
and so on.
We have assumed ail the boys can be married
off; thus no matter what C is, F (C) must contain
the (potential) wives of the boys in C, and since
different boys have different wives (the nobigamy condition), there are at least as many girls
in F(C) as there are boys in C.
So we have the assertion: if marriage is
possible then, for each C ~ B, F(C) contains at least
as many elements as C.
THE SURPRISING THING IS: the converse of
our assertion is also true. Given any sets B,G of
boys and girls, if F(C) contains at least as many
girls as there are boys in C, for every Cs 3, then
al I the boys can be married off.
The proof of this is very tricky indeed - it
proceeds by induction on the number of boys in
B. It would be a worthwhile problem for a good
grade 13 student to attempt; at least it illustrates
that induction is not just a turn-the-crank method
involving the summation of finite series!
Of course, such a proof only works for a finite
number of boys, so it then is natural to ask:
what happens if B contains an infinite number of
boys? Consider an example: ca I the boys
1,2,3,4, .... the girls 1*,2*,3*,4*, .... and
suppose the acquaintances are:

1. knows all the girls
2. only knows 1 *
3. only knows 2*
4. only knows 3*
and, generally, if n &gt; 1, n only knows (n-1) *.
Every set C of boys knows as many girls as
there are boys in C; in fact, if 1 is in C, then
F(C) contains all the girls. But marriage is
impossible - 2 must marry 1*, 3 must marry 2*,
. . . leaving no one for that extremely popular
boy 1.

�16.

Thus the condition that worked for the finite
situation won't work in this case; the next step
would be to get some compromise. It turns out
that if the condition holds, and each boy only
knows a finite number of girls, then marriage is
possible. The proof of this seems to require some
very profound mathematics indeed; it was first
proved in 1949, and subsequent generalizations
now constitute a fairly substantial body of
knowledge "the theory of transverals and representative sets".
TWO MORE PROBLEMS:

(1) The problem of the monks: this was first
posed by Balzac. We have two sets, a set M of
monks, and a set A of non-monks; each monk
has acquaintances in A, and he wishes to establish
a 'harem' consisting of his acquaintances, of a
particular size, and disjoint from the other
harems. Under what conditions can he do this? It
turns out that this is just a disguised marriage
problem: replace each monk by as many boys as
he wants members in his harem, and seek
conventional marriages.
(2) The friendship problem: this appears unrelated
to the marriage problem We consider a party at
which each pair of persons has a common
acquaintance (including the possibility that a pair
know each other). Then, someone at that party
knows everyone! The only proof I know of is
pretty complicated - in fact, it turns the problem
into a problem in a peculiar geometry. Can
anyone furnish a nice neat elementary proof?

True or False?

Carotid: one of the two great arteries that carry
blood to the head. The name is derived from
karoo (= stupefy), compression of the carotid
arteries being thought to produce stupefication.
Carotene: one of the carotenoid pigments
common in plants (and particularily abundant
in carrots).

True or False?
Ammeter: a current-measuring device. Most
modern ammeters are of the moving coil
type developed during the 19th century.
The current to be measured is passed
through a rectangular coi I of many turns of
wire pivoted between two jewelled bearings
in a magnetic field. The interaction between the current and the magnetic field
exerts a torque which turns the coil against
a spring. The angle through which the coil
rotates is then a measure of the current in
the wire. The sensitivity of the instrument
is set by the strength of the magnetic field,
the construction of the coi I (size of wire,
number of turns and area of coil) and by
the strength of the restoring spring. An
external circuit can easily be used to
reduce the sensitivity of a meter as can be
seen in the diagram:-

In this circuit, only the fraction R ( R + r)
of the current I, flows through the ammeter, A. No external circuit, however, can
be used to increase the sensitivity.

Carob: leguminous evergreen Mediterranian tree

(and its pod and seeds). The large red pods
have been used for food for animal and man
since prehistoric times. It is believed that it
may have been the "locust" eaten by John the
Baptist in the wilderness. The seeds are reputed
to be extremely uniform in size and weight
and to have been used as weight standards.
They are believed to be the origin of the carat
which is now the measure of weight for
precious metals and jewels.

�17.

HAT IS TOPO OGY?
by:S. A. Naimpally,
Lakehead University, Thunder Bay.

As with any subject it is quite difficult to
give a precise definition of Topology. Topology
means different things to different people but
broadly speaking it deals with continuity. The
terms continuous, continuity etc. are used
often in day-to-day language, and the purpose
of this little article is to explain how they are
made precise in Mathematics. Mathematicians
have been struggling for centuries to give a
precise meaning of continuity, and although a
satisfactory definition was given in the middle
of the nineteenth century by Weierstrass and
Heine, a very simple approach was first suggested by the great Hungarian mathematician
F. Riesz in 1908. We will use Riesz's approach
via the concept of nearness which is one of
the most important concepts in the whole of
mathematics. The beauty of nearness is that it
is simultaneously simple and rigorous.
Let us take a simple example. Suppose Paul
is a friend of the Russel family. If Paul
continues to be a friend, then we say that the
friendship is smooth or continuous. If there is
a quarrel between Paul and the Russels, we say
that the friendship is broken or discontinuous.
It is easy to think of many such examples, but
rather than do that, we will pursue only a few
and arrive at a precise definition of continuity.
The statement "Paul is a friend of the
Russels" can be simply explained by "Paul is near
the Russel family". Here nearness is an abstraction of friendship but it could also represent
many other relations. For instance, a phrase
which we frequently use in day-to-day language, we may say that "Paul is near the
Russel family" provided that Paul lives in their
neighbourhood, or Paul is related to the Russel
family (Perhaps as an uncle or grandfather).
Thus we have the concept of nearness between
'
•
a person and a family.
A question naturally arises as to what
properties this nearness relation satisfies? Some
of the obvious ones are (i) each member of the
Russel family is near the Russel family (we are,
of course, considering an ideal family which
has no delinquents!), {ii) No person can be
near a non-existent family, etc. However, a
subtle difference exists between these day-today examples and the mathematical concept of

nearness. Whereas it is possible in life for a
person to be neither near nor far (opposite of
near), we require our mathematical concept to
avoid this possibility.
As time passes we all change or we are all
transformed. If a person who is near a family
remains near we say that this transformation is
continuous and, in the contrary case, we say
that it is discontinuous. This idea is very basic
and is at the root of the concept of limit in
Calculus.
In Topology one considers "higher" types of
nearness too. For example we may say that the
Russel family is near the Hardy family, if as it
happens so frequently, they are introduced to
each other by a common friend or a girl from
one family marries a boy from another. This
nearness between two families is called proximity, and interestingly enough, even in Mathematics the two most important proximities arise
in completely analogous ways. One then considers proximal continuity which is concerned
with the preservation of proximity. Finally we
have the concept of nearness for several families. For example, several families may be near
because they have a common ancestor or they
have a common cause and get together for a
picnic.
Although these ideas are simple, they are
at the basis of Calculus, Analysis and a big
chunk of Modern Mathematics. They have
found applications in Mathematical Biology,
Psychology, Econometrics, Physiology of the
Brain etc. For further details and references,
the interested readers are referred to the
following:
(1) S.A. Naimpally and 8.0. Warrack, Proximity
Spaces, Cambridge Tracts in Mathematics
No. 59, Cambridge University Press, U.K.
(1970).
(2) S.A. Naimpally, Proximity Approach to General Topology, Lecture Notes, Lakehead
University (1973).

(3) P. Cameron, J.G. Hocking and S.A. Naimpally, NEARNESS; a better approach to
continuity and limits, Lecture Notes, Lakehead University (1973).

�18.

IN UCTIVE JUSTIFICATI N
bv: Gunars Tomsons
Lakehead University

The analysis of scientific reasoning by many
able investigators has resulted in the acknowledgement of induction as being a legitimate
and indispensable process of framing general
hypotheses. This process, according to the
analysis consists of formulating a general hypothesis on the basis of observed instances. Thus
from the observed mortality of humans one
infers the the mortality of any member of any
mankind.
Since the future seems so open and uncertain, and since a radical change in the constitution of the universe cannot be excluded BS a
possibility, it has been thought at times that a
justification is needed for a procedure of
science that purports to produce hypotheses
and laws of nature on the basis of the limited
evidence of the senses.
One sort of justification that has appeared
to be the most promising method of justifying
induction is the so-called inductive justification
of induction. According to this method one is
justified in using induction because observed
instances of inductive reasoning have turned
out to be reliable. There is certainly some
attractiveness in a proposal to justify induction
on empirical grounds. It seems that if we can
make what we think to be legitimate inferences
based on past experiences when we deal with
the objects of science, then we should be able
to learn from past experiences and make
legitimate generalizations even when the objects have a different nature, i.e., when the
objects are inductive arguments.
However, at first sight there appear to be
also good reasons against an inductive justification of induction, especially if we formulate
the problem in terms of inductive rules. The
justification of induction is then seen as a
justification of a rule that permits generalization. Hence, if we want to justify our use of
the rule ·through inductive procedures, we seem
to be using in our justification a rule the
general use of which we are trying to justify.
There seems to be something illogical about a
procedure of this sort.
Nevertheless, Max
Black, a present day philosopher interested in
inductive logic has argued that inductive justification of induction is possible. 1 Hence I want
to present the model for inductive justification

F INDU TION

of induction and Black's reasons for his position. I shall then show that Black's position is
not tenable.
Black conceives of the inductive justification
of induction in terms of a justification of the
inductive rule governing one type of inductive
argument. The rule whose justification he seeks
is the rule permitting the following argument:
Most of the examined A's have been B's,
1
The next A will be B.

Observation of the repeated application of the
rule r 1, prompts us, according to Black, to
produce an argument of the following form:
r

has usually been successful. ,

r

will be successful in the next instance.

1

An argument. of this sort is called a selfsupporting argument, because the rule r 1, is
used in the argument to establish that the next
instance of the use of the rule will be
successful. The meaning of 'the next instance'
in the conclusion has not been made explicit,
but Black's examples indicate that by 'the next
instance' he means the use of the rule in a
non-self- supporting argument. Arguments of
the above kind have at times been called
second-level arguments, because they refer to
arguments whose referents are found in the
non-linguistic world. One could, of course,
construct second- or third-level arguments; but
in the case under consideration we have been
presented with only a second-level argument.
One may not assume, though, that the rules
used in second-level arguments must differ
from the first-level arguments merely in virtue
of the fact that second-level arguments try to
establish facts about the first-level arguments.
Moreover, I think that it would be absurd to
claim that the inductive r 1 differs in character
depending on whether it is employed in firstor second-level arguments.
Arguments of the self-supporting kind have
been criticized on the grounds that they are
circular, i.e., that their premises contain the
conclusion, if only as a presupposition or a
suppressed premise. Black has provided us with
a seemingly decisive argument against the view
that these arguments have a suppressed premise
asserting the general reliability of the rule r 1 7-

�19.
He has argued that the argument could no1
have a suppressed premise of this kind because
by repeating the conclusion in the premises we
no longer have an inductive argument. We have
a technically sound argument which is of no
use to us because it is circular. But only
deductive arguments can be circular. Hence,
according to Black, an attack of this sort on
the inductive justification of induction cannot
but fail.
This appears to be a victory over those who
allege that inductive justification of induction
is circular in the logico-technical sense. However, I am not quite convinced. The attack by
Black succeeds only if his opponent is willing
to grant that the argument is in fact inductive.
But need he grant this? It seems to me that
Black's opponent could say that the justification of induction fails because the argument is
circular and hence also deductive. On this view,
Black only believes that he has provided an
inductive argument, whereas in fact he had the
suppressed premise that enumerative induction
is effective. In other words, he has assumed
that which he wants to prove inductively. And
if one wants to prove what he assumes to be
true in the premises, he has a circular argument
whether he intends to use deductive or inductive procedures for proving whatever he intends
to prove.
From the point of justification of a belief
that rests on an inference it certain! y is
presupposed that the belief is wel I supported,
and in order for a belief to be well supported
we must have a reliable rule of inference as
wel I as good evidence. Thus the rel iabi I ity of
the rule is presupposed. It is true, I think, that
we may not be conscious of the belief that our
rule is reliable. However, from the point of
view of justification of beliefs we have to take
into account beliefs that we are not aware of
in our day-to-day arguments, if they are relevant to our epistemological order of beliefs. I
conclude that Black has not succeeded in
showing that the inductive justification of
induction is not circular, and I have already
indicated that one has good reasons for claiming that it is circular.
Black has argued that self-supporting arguments are not circular also on the grounds that
the argument succeeds in raising the reliability
of the rule. I want to show, nevertheless, that
this argument is equally unsuccessful, and I
will first reproduce Black's example of a
self-supporting argument:

(a) In most instances of the use of
R in arguments with true premises examined in a wide variety of conditions, R has been
successful
Hence (probably):
In the next instance to be encountered of the use of R in an
argument with a 3 true premise, R
will be successful.
'R' stands for the following rule:
To argue from

"most instances of A's examined in a wide variety of conditions have been B"
to (probably)

77he next A to be encountered
will be 8"
Black contends that the argument (a) supports rule R by raising the reliability of the
rule and hence the subsequent first-level arguments using the rule. The situation can be
presented in the following schematic way using
these abbreviations:
'a' will represent first-level inductive arguments before the
use of the self-supporting argument.
'A' will represent
supporting argument

the

self-

'b' will represent a first-level
argument after the use of the
self-supporting argument 'A'
'r ' is the inductive rule used in
a
arguments a
'rb' is the same
argument b

rule

used

in

'r ' is the rule used in the
sefr-supporting argument
The sequence below represents the temporal
order of the arguments and the abbreviated
argument A is presented directly below the
sequence:

�20.
a1, a2, a3 , ............ ,an, A,b

r a was successful
A: ------------r A

r b will be successful

According to Black argument A establishes that
is more reliable than r , but I do not see
tRat this has to be the ca;e, since we do not
know much about the reliability of r A. Black
has no reason to assume that his second-level
induction will perform as expected since in
proving the conclusion we have assumed that
r A will perform satisfactorily; we certainly
have no inductive evidence in support of the
reliability of r A.
Some arguments are in order also with
respect to Black's concept of the degree of
reliability of the rule. Black conceives of the
strengthening
of rules and arguments as
follows:
r

successes differs from rule to rule. But why
should an inductive rule increase or decrease in
reliability depending on the ratio of past
successes? Our confidence may perhaps increase if we see the rule succeed, but to say
that our confidence is increasing is not to say
that the reliability of the rule is increased.
I conclude that Black's attempts to provide
inductive justification of induction have not
succeeded. Moreover, I have supplied reasons
which show that inductive justification of
induction is implausible.
1.

Let us assume that the following argument b using the rule r has the strength 4/5 or
8/10:
Argument b 4/5 of examined A's are B's
Next A will be B
Given appropriate observational evidence we
can construct a self-supporting argument:
Argument A 9/10 of examined arguments using
rule r were successfu I
Next use of r will be successful
This argument entitles us to say that the
degree of strength of the ruler b is 9/10. Hence
we should increase the strength of the argument b to 9/10.
I already indicated why I do not think that
Black has shown that the reliability of the rule
would be increased, but Black has not really
explained why we are entitled to speak about
degrees of reliability of the rule. It may be
plausible to talk about degrees of strength of
an argument as a function of the amount of
evidence available. However, is it plausible to
say that rules have varying degrees of reliability? Of course, three different rules could
conceivably have distinct degrees of reliability,
if we should find that the percentage of past

M. Black's writing on inductive logic and
critical discussions of them can be found in
the following works. M. Black, "The Justification of Induction", Language and Philosophy, ( Ithaca, New York: Cornell University Press, 1949), pp. 59-88; "The Inductive Support of Inductive Rules", Problems of Analysis, (Ithaca, New York: Cornell University Press, 1954), pp. 191-208;
W.C. Salmon, "Should We attempt to
Justify ·induction?", Philosophical Studies,
VIII (1957), pp. 33-48; M. Black, "SelfSupporting Inductive Arguments", Journal
of Philosophy, LV (1958), pp. 718-725, or
pp. 209-218; P. Achinstein, "The Circularity of a Self-Supporting Argument", Analysis, XXII
{1961-62), pp. 138-144; M.
Clack, "Self-Supporting and Circularity: A
Reply to Mr. Achinstein", Analysis, XXI 11
( 1962-63), pp. 43-44; P. Achinstein, "Circularity and Induction", Analysis, XXI 11
(1962-63), pp. 123-127; H. Kyburg, "recent Work in Inductive Logic", American
Philosophical Quarterly, I (1964), pp. 1-39;
M. Black, "the Raison d'Etre of Inductive
Argument", British Journal for the PhilScience,
XVII (1966), pp.
also in Margins of Precision
(Ithaca, New York: Cornell University
Press, 1970); "The Justification of Induction", Philosophy of Science Today, S.
Morgenbesser (ed.) (New York: Basic
Books, 1967); "Self-Supporting Inductive
Arguments", Models and Metaphors, pp.
210.

osophy

of

177-204;

2.

3.

M. Black,
199-200.

Problems

of

Analysis,

pp.

M. Black, "Self-Supporting Inductive Arguments",Models and Metaphors, p. 210.

�21.

L ICS

010-0
by: Dr. N.A. Weir,
Lakehead University, Thunder Bay

One consequence of the increased standards
of living experienced by most industrial countries is the rapid increase in the volume of
solid waste. Wrapping of foods to reduce
contamination and prevent deterioration has
brought many social benefits, which at present
tend to outweigh the disadvantages of having to
dispose of the packaging materials after use.
Plastics are also replacing conventional containers, like glass and ceramics to an increasing
extent. One needs only to look around the
shelves of a supermarket to see polyethylene
detergent and bleach containers, polyvinylchloride (P.V.C) shampoo and edible oil containers and polystyrene beverage cups. The
advantages of these materials are obvious ease and cheapness of formation of variously
shaped containers,
favourable
mechanical
properties (non-brittle) and their light weights.
However, the steadily increasing proportion
of plastic wrapping materials and non-returnable plastic containers in domestic and industrial wastes is now causing major disposal
problems in many parts of the world. A recent
survey shows that three polymers account for
90% of municipal plastic waste. These are:
polyethylene (38%),
(31%), and polystyrene (21 %) ; the remaining 10% is composed
of varying amounts of polypropylene, polyesters, polyvinylidene chloride, and cellulose
acetates and butyrates.
Unlike cellulosic packaging materials, like
paper, the plastics mentioned above are not
bio-degradable (i.e. capable of being broken
down, ultimately to CO2 and H 20, by microorganisms), hence they tend to be very persistent in the environment.
Lack of biodegradability can be attributed
to three typical characteristics of the polymers
most used in packaging.

( 1) The polymers are largely hydrophobic,
and hence wettability by polar molecules, like

water, a prerequisite for many biological reactions, is extremely low.
(2) Permeabilities of these polymers to gases
like oxygen are very low, and thus the efficiencies of many bio-processes are greatly impaired.
(3) Molecular weights of these materials
must be high to give them adequate mechanical
strength. However, micro-organisms tend to
attack at the
of large molecules, and since
the number of these ends is inversely proportional to the molecular· weight, it follows that
the rate of attack on a polyethylene molecule
which might be used in packaging (Molecular
weight 120,000) will be very low.
It .is ironic that the factors which
determine the usefulness of these polymers in
packaging are precisely the factors which lead
to their persistence in the environment.
Some typical biodegradability figures, measured on a growth rating scale of 1 to 10, are
summarized below.
Compound

Molecular

weight
polyethylene
polyethylene
polyethylene
polyethylene

Growth
Rating

129,000
52,500
13,800
1,350

0
0
1
2

polystyrene
polystyrene

87,000
2,100

0
0

polyvinyl chloride

52,000

0

polypropylene

27,000

0

170

5

dodecane (C12H25)

The importance of molecular weight can be
seen by comparing the various polyethylenes
and the chemically similar, non-poymeric molecule dodecane. The above polymers may be
rendered bio-degradable, by modification of
their hydrophobicities, their permeabilities and
by decreasing their molecular wights. This can
be achieved simply by exposing photo-degradable forms of these polymers to natural sunlight, or by adding suitable sensitizers to them,
the sensitizers also absorbing sunlight, and
initiating polymer degradation.
It is convenient to discuss the two methods
separate I y.

�22.
Ketone Polymers
After two decades of research on the prevention of sunlight degradation of polymers,
scientists are applying their results to the
design of polymers which will readily undergo
sunlight degradation. Chemically, the reactions
which lead to the failure of the polypropylene
webbing used on lawn chairs, are very similar
to these which are involved in the disposal of
photo-degradable polypropylene, and in both
cases ketonic (or carbonyl) compounds play a
critical role. When the carbonyl group, C = 0,
absorbs ultra-violet radiation of wavelength
around 300 nm, (1nm = 10 - 7 cm) - and
natural sunlight contains a small ultra-violet
component with wavelengths extending to
around 295nm-one of the non-bonding (localized) electrons on the oxygen atom is promoted into an anti-bonding n* - molecular
orbital, which results in the delocalization of
the electron over the C and O atoms. Such a
promotion is referred to as an n &gt;- :r * transition
(i.e. transition from an n-type to an anti
bonding rr* molecular orbital) and the excited
molecule so produced can react by undergoing
bond fission adjacent to the C = 0 group. Two
distinct processes are possible, and these occur
in both polymers and in small molecules.

0

II

CH 2
C
/
"'cH2 /
"-. CH2
VCH2

A

and it can be seen that both
Reactions I and
11 will result in scission of the chain. To make
polyethylene photo-degradable, it is necessary
to introduce only one ketonic group per thirty
carbon atoms in the chain; the fragments
produced by photo-fission are potentially biodegradable.
Photo-degradable polystyrene and polypropylene are now available commercially
(know as "Ecolyte S" and "P" respectively).
Ketonic groups are incorporated into these
molecules by copolymerization of small amounts of phenyl vinyl ketone.

.

0

II

CH 2==CH-C-@
The resulting copolymers have the following
structures, the ketone groups occuring at random in the chains, e.g. with styrene,

CH 3

I

C=O

/'

I

" ~
KETOPOLYMER_

~
II

~ +

CH3-C==O

RADICALS

A+
OLEFJ!IL

CH
I 3
C=O

~

KETONE

Reaction I (better known as the Norrish Type
1 process) results in the formation of two free
radicals. A free radical is a species which
contains an unpaired electron and which is
formed by the homolytic fission of a covalent
bond. Reaction 11 ( Norri sh Type 11) involves
an intramolecular rearrangement which is accompanied by fission of the molecule if'1to
another ketonic compound and an olefin.
It can be seen that if a ketonic group is
introduced into a polymer chain, exposure to
ultra-violet radiation will result in scission of
the main chain, ( Reaction 11) and this reaction
is employed in one type of photo-degradable
polymer. Photo-degradable polyethylene has
the structure:

Lifetimes of these polymers can be controlled
by varying the phenyl vinyl ketone concentration in the copolymers. "Ecolyte S" and "P"
were developed by Dr. J.E. Guillet and his
co-workers at the University of Toronto.
It should be emphasized that in all of the
above examples, the physical properties of the
photo-degradable polymers are indistinguishable
(except for ultra-violet absorption characteristics) from those of the pure homopolymers.
(2) Sensitized Photo-degradation

An alternative approach to photo-degradable
plastics has been made by Dr. G. Scott at the
University of Aston, England, and this employs
a combination of photo-oxidation and subsequent photo-degredation. Free radicals, like
those formed in Reaction I, being electrondeficient species react readily with molecular
1 oxygen
in the air-the oxygen molecule exists
in a triplet state - to produce peroxy radicals

�23.

which in turn abstract hydrogen atoms to
produce a hydroperoxide and a new radical.
The hydroperoxide is a key intermediate, since
it absorbs the ultra-violet component of the
sunlight, leading to photo-fission of the bonds
adjacent to the peroxide (-0-0-) group. The
new radicals framed can continue the oxidation process, and a chain reaction can develop.
Photo-oxidation of a polymer is illustrated by
the following reaction sequence, which incidentally, is the same sequence that leads to the
deterioration of the useful properties of polypropylene on exposure to sunlight.
RH

- R

POLYMER

CH 2

0 2 -R0 2 -

-

. RADICAL

0-0·H
CH 2
"-CH/

R0 2 H
PEl'l_~QE

The process is summarized by the following

scheme: (MXn is the initiator)
MXnuv_X•

0

2-X02•

X0 2 • + RH
-X0 2 H + R•
R•+0 2 ► R0 2 •
-R0 2 H (Peroxide)
0·0 H

I

CH2"
/CH 2 ,, uv
'CH

_
,, CH

2

,

~H +HO•+CH 2 /'v
0

Addition of smal I amounts of these dithiocarbamate complexes to polyethylene polypropylene and polystyrene render the polymer
photo-degradable, and their lifetimes can be
controlled by variation of the concentration of
photo-initiator. The iron complex,

0
.

UV

CH 2

LIGHT

CH +HO•+CH 2 /'v'

-~R_Q_~!fil:..

It can be seen that photolysis of the hydroperoxide will lead to chain scission, and ultimately to destruction of the polymer.
One advantage of this system is that the
oxidation reactions do not require continuous
illumination; hydroperoxides can be formed in
the dark, and subsequently decomposed on
exposure to sunlight. One disadvantage of the
system illustrated above is that the initial
production of free radical centers on the
polymer is intrinsically very slow, and thus
photo-oxidation as such, is not a practical
system for photo-disposable plastics. Scott discovered, largely by accident, that initiation of
the photo-oxidation could readily be accomplished by adding suitable substances to the
polymer. The compounds found most useful in
this regard are the dithicarbamate complexes
of transition metals (M).
M S-C-N

[

II

s

/C2H5]

"'-c 2 H5

n

is particulary attractive as a photo-activator for
degradation of plastics used in the food-stuffs
inqustry sine~ it is non-toxic.
Yet another group of photo-initiators has
been developed by scientists at the National
Research Council of Canada, Ottawa. These
compounds are aromatic ketones like benzophenone, which absorb

0

II

CH 3 - C - @
ultraviolet radiation in the sunlight spectrum to
produce excited triplet molecules by n~*
transitions. ( In the triplet state the electrons in
the n* and n-type molecular orbitals have
parallel spins). The triplets have sufficiently
long lifetimes to undergo hydrogen abstraction
reactions with the polymers, again forming
radical centers on the chains, as follows:

( n = 2 or 3 )

Used in high concentrations these molecules
act as photo-stabilizers (molecules added to
inhibit photo-degradation), but become photoinitiators at low concentrations ( &lt;1%). Initiation is brought about as follows. On exposure
to sunlight the photo-initiator is decomposed into
free radicals, which react with oxygen in the
air to form peroxy radicals, which in turn
abstract hydrogen from the polymer chains
forming radical centers. The polymeric radicals
then undergo oxidation.

f

r

~

1·

CH3-C-Ph ~ LCH3-C-Phj

~
•
0-H
[ CH3-C-R~ -+-RH-CH3-bH-Rh

+ R•

R• + 02-R02 • --R02 H

The polymer is then oxidized and the chains
broken by exposure of the hydroperoxides to
sunlight.

�24.

THE CO
by: Mr. 8. Spenceley,
Lakehead University

0

ND

ICR

OPE

the distance between the focal points. From
the following simple diagram it is clear that

It scarcely needs to be said that the
compound microscope is widely used in the
teaching of biology, but whether most students
have a sufficient understanding of the opera- LENS 1
LENS 2
tion of the microscope is debatable. The
purpose of this series of articles is to improve
this understanding and to enable students to
get more use out of their instruments.
One of the important characteristics of an
instrument for examining small objects is its
magnification. There is a certain amount of
arbitrariness about the definitions of magnification. The angular magnification, which is the
When the last two equations are combined a
type we are concerned with here, is usually
simple expression for the effective focal length
defined as the ratio of the angle subtended by
results:- f=-f1f2
the object at the distance of most distinct
'x,
vision to the angle subtended by the object
The point of all this is that although it is
seen through the instrument. A value of 25
difficult to make a single short-focal-length lens
ems is usually taken as the average distance of
we can get the same effect by using two
most distinct vision, although there is a great
moderately 'short' lenses separated by a reladeal of variation in this from one person to
tively large distance Q,. Because £. is in the
another.
denominator large values of x mean small
The simplest optical device for examining
values of f. So the compound microscope can
smal I objects is a single lens of short focal
be regarded as a simple magnifier; as such its
length. If f is the focal length in centimeters
magnification is
the magnification, m, is 25/f so one would be
m = 25 =-t· 25
-fTi 0
tempted to consider that higher and higher
magnifications could be easily obtained by
Sometimes it is more usetul to consider the
making f smaller and smaller. In practice
effect of the two lenses separately. The first
magnifications up to 20x can be achieved using
lens (fi), usually called the objective, forms a
simple magnifiers but attempts to get higher ,real, inverted image of the object in the focal
magnifications are hindered by the aberrations
plane of the second lens, the ocular or eyethat always accompany lenses of short enough
piece lens. The lateral magnification of the
focal length and large enough aperture to be
objective is - x,/fi. The second lens is then used
useful.
as a simple magnifier to look more closely at
The compound microscope overcomes this
this intermediate image. The angular magnificadifficulty by using a pair of lenses relatively
tion of the eyepiece is of course 25/f 2. The
well separated. Elementary optics texts show
overall magnification of the compound microthat if two lenses whose focal lengths are f 1
scope which we have al ready noted to be
and f? are separated by a distance t, the
[-£/fi] [25/f2] is merely the product of the
effective focal length of the com bi nation is
individual magnifications of the objective and
given by the simple equation
eyepiece lens.
Because the magnification of the eyepiece
1_1 + 1
t
-f-f
f - ~
depends
only on its focal length, it is feasible
2
1
to mark the lens mount with the magnificaThe equation looks more useful if t, the
tion. This is the meaning of the numbers such
distance between the lenses is replaced by£,
as 1OX or 15X found on oculars. The magnifi-

�25.

cation of the objective on the other hand
depends on the length , and unless this is
known and constant the magnification cannot
be specified. For this reason microscope manufacturers have standardized the distance . at
160 mm for the great majority of their
instruments. For these microscopes it is possible to engrave the objective magnification on
the lens barrel, the number is unchanged if the
objective is used in a conventional microscope
no matter what the country of origin
an
example of international cooperation that
could well be imitated by other apparatus
manufacturers. The overall magnification of the
compound microscopes used by most schools is
simply obtained by multiplying together the
magnifications engraved on eyepiece and objective fenses.

Another imoortant characteristic of the compound microscope is its resolving power or i
ability to distinguish small details. This is not
the same thing as magnification; it is relatively
easy to get large magnifications, for example
by making x, larger, but this does not ensure
that more detail is visible. High magnification
that is not accompanied by good resolution is
called "empty magnification" because the increased image size does not carry any more
information about the subject. The image is
larger but blurrier.
For a microscope of good quality the resolving power is limited by the diffraction of light
in the plane of the object under examination;
in an inferior instrument it could be limited by
ordinary lens defects. A proper treatment of
the theory of diffraction in microscopy is
beyond the scope of this article, but some of
the basic ideas can be conveyed in relatively
simple terms.
When a beam of light passes an object whose
size is comparable to the wavelength of thP
light, the beam is diffracted, by which we ,
mean that some of the Iight on the far side ot
the object travels in directions different from
the original one. Usually the beam breaks up
into several beams - one undisturbed by the
object, a pair making a small angle to the
original direction, and so on. Two cases are
illustrated in the following figures, first a
relatively large object and then a small object.

The diagrams illutstrate the important idea
that the smaller the object is the larger are the
diffraction angles, and the larger the object is
the smaller are the diffraction angles. The
information about the size and shape of the
object is carried in the angular spread and
relative intensities of the diffracted beams.
The size of the object compared to the
wavelength is also important in determining the
angular spread of the diffracted beams. For an
object of a given size the longer wavelengths
(the red end of the spectrum) are diffracted
through larger angles than the shorter wavelengths (the blue end of the spectrum).
If the objective lens of the microscope is
small in diameter compared to its distance
from the object, the angle it subtends at the
object will also be small. If the angle is so
small that only the undiffracted beam enters
the lens, then it is as if there were no object
there at all, since that would also be the only
beam in the absence of an object. In order
even to detect the presence of the object the
Undiffracted

Beam

Diffracted

Diffracted Beams

Beams

\ =-1
\\f/
~

Relatively
J,1
large Object - _,... 8

t

Incident light

Undiffracted Beam

Diffracted

Diffracted Beams

~ .±~
/

Smal I Object /

±

Incident Light

Beams

�26

Objective
Lens

1st Diffracted
Beam

e--Object

lens must at least be able to accept the first
diffracted beams as shown in the next diagram.
The limit of resolution of a microscope is
therefore the smallest object whose first diffracted beams are just accepted by the objective. Naturally, if more detail is needed than
the mere existence of the object, then the lens

must be able· to accept more of the diffracted
beams. Strictly speaking, the resolving power is
related to a quantity called the numerical
aperture of the objective lens which is the
product of the sine of the half-angle subtended
by the lens at the object and the index of
refraction of the medium below the lens usually air but sometimes not. The resolving
power is the wavelength of the light divided by
the numerical aperture - Aln sin ex: •
The best~
resolution is obtained by using blue light and
by filling the space between the object and the
lens with a liquid ofhigh refractive index.

EDITOR'S AND COLLABORATORS' COMMENTS

1 GIT L Po TI
IPTLIGOTT: a sophisticated anglo-saxon surname? ...... .
or is the answer simply biodegradable?

Please permutate, decypher and send in your interpretation.

�If you have enjoyed reading Caret, please write to us.
If you have not enjoyed reading Caret, please write to us.
If you would like to contribute an article, please write to us.
If you have any suggestions for improvements, please write to us.

"CARET"
Lakehead University
Thunder Bay, Ontario
P7B

5E 1

�PLEASE LEA VE ME
ABOUT FOR
OTHERS TO READ

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Articles on a variety of topics: &#13;
History of photography&#13;
Culture, politics and geography&#13;
Concentrated fire power&#13;
Mathematics and the Arts student &#13;
Marriage&#13;
Topology&#13;
Induction&#13;
Photo-degradable plastics&#13;
Compound microscopes&#13;
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                    <text>LAKEHEAD

UNIVERSITY
'

SCIENCE REVIE
VOLUME 1

NUMBER 5

.6

�t
L KEE

NI E SIT S IE

ERE IE

incorporating

LAKEHEAD UNNERSITY MATHEMATICS GAZETTE

CARET IS PUBLISHED BY THE FACULTY OF SCIENCE OF LAKEHEAD UNIVERSITY,

THUNDER BAY, ONTARIO, CANADA. P7B 5E1

EDITOR
Dr. G. Harvais
Lakehead University

ASSOCIATE EDITOR
Mr. B. Spenceley
Lakehead University

EDITORIAL BOARD
Mr. W. Bilbrough,
Lakeview High School,
Thunder Bay.

Mr. G. Campbell,
Westgate Collegiate &amp; Vocational Institute,
Thunder Bay.

Mr. C. Gehrels,
Ontario Ministry of Education.

Mr. W. Lajoie,
Westgate Collegiate &amp; Vocational Institute,
Thunder Bay.

Mr. J. Palko,
Fort William Collegiate Institute,
Thunder Bay.

Mr. T. Reynolds,
Queen Elizabeth High School,
Sioux Lookout.

CONTENTS
VOLUME 1, NUMBER 5, May 1975

4

Who Says People Don't Get Involved?
by Lynn Hamilton and Audrey Saxberg

6
9

Student Services
About Pressing Plants
by Professor C. Garton

A Chemist in Thailand

11

by Dr. A. N. Hughes

16
Asbestos Contamination &amp; Dr. R.A. Ross
Affective Contrast: behavioral contrast of liking 19
by Dr. S. R. Goldstein

Metrication? Surely, you don't mean it!

21

by Professor John Hart

How Many Villagers? : an exercise...

23

by Mr. Robert S. Dilley

Quality or Quantity: the modern dilemma

25

by Dr. Paul Barclay-Estrup

Will I Need a Calculator in University?

29

by Professor C. Kent/

Betting Games that are a Sure Bet

31

by Dr. L.K. Roy

An Analysis of the Game of Keno

33

by Dr. L. K. Roy

Is the Mind a Material Object? or .......
Typesetter: Seppo Kasma
Printing: LU. Printshop
Design: LU. Media Services

34

by Dr. J. Douglas Rabb

Colouring-In Maps

36

by Dr. Brian A.M. Phillips

THE VIEWS EXPRESSED IN CARET DO NOT NECESSARILY REFLECT THE OPINIONS OF THE
EDITOR, THE FACULTY OR THE UNIVERSITY.

OUR COVER arises from the article, "A Chemist in Thailand". Originally a Buddhist temple
wall relief, it depicts the Thai calendar. The outer rim shows the twelve year cycle in which
each year of the cycle is represented by an animal.

�L

I y

I

L

I

IC
MASTER'S PR

R

El

Bl L

y

It is anticipated that the M.Sc. (Biology) will commence in July of this year. This is
contingent upon the arrival of Dr. Walter T. Momot, an aquatics biologist who is
expected to join the staff of the department.
The Ontario Council of Graduate Studies have approved the programme but have
specified that only 8 students can be admitted initially. The areas of specialization are
also to be somewhat restricted in the early stages with the provision of expansion in the
future.
Inquiries should be directed to the Chairman, Department of Biology, Lakehead
University.

E

RAP Y

The Department of Geography has revised its B.Sc. and Honours B.Sc. programs and
has made a series of changes in its course offerings, aimed at providing greater choice for
third and fourth year students. A copy of the new programs, with course descriptions, is
posted on the Department notice board, and can also be obtained from the Department
chairman.
Science students should also note that there is now an Honours B.Sc. program in
Geography with Geology minor: this replaces the old B.A. Geography-Geology program.

EL GY
"If you wish to become a geologist you should know that you may combine geological
studies with four other disciplines:
with Chemistry - the most popular and generally most useful combination
with Physics - as the basis for a career as a geophysicist
with Biology - for careers in the vitally important field of environmental studies
with Economics - for careers in the management of non-renewable resources."

�3.
LETTERS TO THE EDITOR

April 9, 1975.
In Volume 1 no. 3 (p.37) and Volume 1
no. 4 (p.2) of your journal the name of the
late Dr. L.S.B. Leakey is misspelled (as
Leaky). As a fellow-member of Dr. Leakey's college (St. John's, Cambridge) I owe
it to him to set this right.
I would also like to note that his
best-known discovery, Zinjanthropus boisei,
is usually so spelled (not Zinganthropus).
However, Z. boisei was not, as far as I
know, also a member of my college. Such
an old fossil was probably an Oxford man.
Yours sincerely,
Robert S. Dilley
Lakehead University
Thunder Bay
* *

* * * * * * * * *

am delighted that Caret is read, and even
scrutinized. Thank you for pointing out
our errors to us. On the basis of this
information, should the specific name be
leakei or leakeyi, or ... ? (May I add that
scientific names of organisms are always in
a different type from that of the rest of
the text, most commonly italics).
- Editor
March 12, 1975
I was horrified by the mistatements in the
recent article by Dr. Richard Reis.
i) He claims the most conservative estimate
of the fraction of stars with planetary
systems rv 1, and that a similar conservative
estimate for the fraction of such planets on
which life does develop ,..., 1. Most authorities would regard these 'conservative' figures most liberal!
ii) There is still controversy surrounding

the existence of planets around Banard's
star - and I would hesitate to use this
example to give "strong support to the
statistical estimation that there may be at
least fifty million planets in our galaxy."
iii) He states "it is just as likely that we
would be in a position to teach them much
more than they can teach us about science

&amp; technology Bolderdash. The human race
has been industrialized for about 2000
years - and has around 4 x 109 years
before the sun novas. The probabi Iity of
another civilization capable of communicating with the electromagnetic spectrum
(which we have been using for about 50
years) learning from us is incredibly small.
In short this article is erroneous and dul I.
Surely the editors of Caret are capable
of instituting a system of referees so that
similar misleading articles are caught before
they appear in print.
Dr. J.S. Griffith
Lakehead University
Thunder Bay

*

* * *

* * *

* * * *

am disappointed that Dr. Griffith did not
"like Dr. Reis' article, but I hope that this
difference of opinions will produce some
enlightening comments. I would certainly
like to hear from Dr. Reis again, but, alas,
my attempts to get in touch with him have
so far failed. I very much hope that, in the
meantime, other readers will send in their
comments.
Caret is definitely NOT intended to be a
referred scientific journal. I like to read in
Dr. Griffith's letter, an offer to review
articles for us. I would be delighted to call
upon him in future. Meanwhile, I think this
sort of controversy adds some spice to life.
I like it.
- Editor

True or False?

cataract: a cataract is a waterfall, a cascade.
It is better known as an eye condition
where the lens or the cornea becomes
opaque. It is also a downpour of rain, a
rush of water, a steam-engine governor
acting by flow of water.
How about
carotid: yellowish or orange pigment associated with chlorophyl Is in all green plants.
carob: the measure of weight for precious
jewels and metals.
goatsucker: a dairy woodpecker.

�HO SAYS PEOPLE DON'T GET INVOLVED?

4.

by: Lynn Hamilton and Audrey Saxberg
Lakehead University, Thunder Bay.

On the face of it the assignment seemed
quite simple. Our public-spirited Physics
professor, Dr. Hart, asked each class member to check the accuracy of two parking
meters in town.
As working mothers, who are part-time
students, time is limited, and Wednesday
evening at seven o'clock seemed best. We
decided that at this time no one would be
around to interfere with our work, and we
could carry on unnoticed.
Having made our decision as to time and
date, we began settling things at home,
discussing the assignment with our husbands in a matter-of-fact fashion. It was
their reactins that gave us our first inkling
that we were doing something extraordinary. "Are you kidding?" "You're not really
going downtown to do that!" "You CAN'T
put money in a parking meter after six
o'clock!" "You really are going, aren't
you?" Yes, we were.
We met on Arthur Street and picked out
a likely parking meter, found our change
and got out the stopwatch and notebook.
These unobtrusive perparations created a
reaction. A man, 'sauced to the eyeballs'
suddenly appeared from nowhere shouting
"Hey lady, are you from out of town? You
don't have to put money in the meters
after six o'clock."
"We re working on an assignment," we
said, trying to sound nonchalant.
"For the city?" he asked in a booming
voice.
"No, for our Physics class."
"I 'II bet you 're really doing a secret
report for the city," he shouted. (A crowd
was gathering).
"No, we're not," we said, and put the
nickel in the meter, but before we had a
moment to check the stopwatch, he had
turned the dial and ruined our first timing.
The crowd was getting larger. "These
here ladies are doing a secret report for the
city," our man said ceremoniously.
1

"If you magnetize the nickel before you
put it in, it will gum up the works," one
man told us helpfully. "I've heard if you
cover a penny with aluminum foil, you can
use it as a nickel," someone else said.
"What kind of secret report are you
doing?" someone else asked.
"None," we said. Disgusted and embarrassed, and writing off the loss of the
nickel to experience, we slunk away leaving
them to their discussions as to just who we
were and how to 'put one over' on the
City Parking Authority.
Finding another parking meter, this one
with two meters attached, we decided to
use it for our next two efforts. A car was
parked by it, but we didn't feel that this
was something to worry about. Out came
the notebooks, in went the nickel. One of
us held the lever while the other checked
the stopwatch. We were intent on getting
everything right this time.
"Three, two, one - now!" and the lever
was released triumphantly. The exact time
was recorded - and we looked up into the
startled faces of the car's owners. This
respectable middle-aged couple apparently
made an initial decision that it would be
prudent to ignore us, but this proved to be
too much for the lady. With one foot in
her car, and the other still on the sidewalk,
she paused, mouth opening and closing
with no sound being emitted, eyes wide
with questions. She stood like that for
several seconds before her husband, anxious
to get away from us, started to drive off,
with the lady still half in and half out of
the car.
By this time we were beginning to feel
slightly conspicuous. We were cold too, and
decided to wait out most of the twenty
minutes we had bought in a nearby restaurant. After sixteen minutes had passed we
gulped down the rest of our coffee and
darted out across the street to the meter.
Good! We had caught it in time. The
minutes ticked by and we stood poised
with the stopwarch, waiting. The time was
clocked. Half of the assignment was now

�5.
done. We looked up this time to find five
men waving wildly in the restaurant window across the street. One came running
over without his coat in sub-zero weather
to tel I us that we didn't need to put
money in the meters after six o'clock.
"We know," we said. "Thank you," and
left him there on the sidewalk staring at us
and shivering.
"Crazy women," he muttered.
Up the street we went, and found
another meter with two heads which would
suffice for the last two timings. Out came
the notebooks, in went the nickel. Zooming out the blackness came three boys on
bicycles.
"You don't have to put money in the
meters after six o'clock," one said.
Trying a different approach we answered, "Oh, really?"
"I don't even drive and I'm not stupid
enough to put money in a meter after six
o'clock. What's wrong with you anyway?"
(Not only had we met with opposition this
time, but we had met it in angelic-looking,
but nasty little boys).
Using her 'mother-voice' my friend said,
"Why aren't you boys at home? It's after
nine o'clock."
Using his 'brat-voice' one of the angels
said, "Why aren't you in a rubber room,
stupid ladies?", and with that they zoomed
off leaving us quite mortified.
All-in-all the whole experience was becoming quite trying. We sat on the curb,
this time quite oblivious to passers-by who
probably thought we had just come out of
the hotel and were sobering up on the
sidewalk.
We took our last timing as the meter
clicked off. Two couples passed by, and
each said, "You don't have to put money
in the meters after six o'clock."
"We know," we said, "thank you."
With our times recorded, our teeth chattering, our price at a new low we left
downtown Port Arthur never to return
again after six o'clock.
Next time you think people on the
street refuse to get involved in other
people's problems, don't bet your parking
meter money on it.

EDITOR'S NOTE
Over many centuries much has been
written about spring and its effects on the
lives of individuals and on society in
general. We, in this part of Canada, are wel I
aware of these effects, and I need not say
much more on the subject. It is also that
time of the year when old interests are
renewed, new ones are born, and future
activities are looked into more firmly. In
the past, this has also been the time when
we have had many inquiries from highschool students contemplating a university
education. Particularly for the benefit of
those students, we are printing some information on some of the facilities available
at Lakehead University. (We would like to
hear if it is helpful or not.)
This is also the time when many teachers, students and nature lovers in general
will find themselves spending more time in
our "great outdoors". There is much biological activity in our North Western Ontario, but, alas, we are short of people to
collect and analyse the data. So, when
YOU are out there on a picnic, a fishing or
other similar trip, why not 'mix business
with pleasure', and contribute to our better
understanding of our area? Study your
flora. Collect some plants. Start a herbarium (at home or in your school).
To help you, amateur or 'professional',
Professor Claude Garton has kindly prepared some handy hints. (Professor Garton
has contributed and is still contributing
actively to our knowledge of our local
flora, and he needs no introduction to
plant taxonomists in this country). Now
YOU TOO can benefit from his vast experience! Furthermore, he is always ready
to help, and he may even lend you a plant
press until you get your own! Why not
make this a school project and start now?
If pressing plants does not turn you on,
you can still contribute through drawings,
paintings, photographs, etc., and in many
other ways.

�6.

The Canada Department of Manpower
&amp; Immigration maintains a Student Placement Office on the campus of Lakehead
University. The aim of the Student Placement Office is to provide assistance to
students who are seeking either part-time,
summer or permanent employment.
The assistance takes the form of a wide
variety of services to students of all years
and disciplines. An opportunity is offered
to participate in the on-campus recruitment
program whereby employers from the private and public sectors from all across
Canada visit the University to recruit recent
University graduates. The Office also has
up-to-date career literature, brochures, employment statistics, and information about
re-employment trends, salaries and Manpower programs such as student Mobility,
Mobility Grants and Relocation Grants.
Another form of assistance is direct referral
to part-time and summer jobs.
In order to take the fullest advantages of
the services offered, students seeking employment should register with the Student
Placement Office as early in the year as
possible. Should you want to find out
more about Manpower programs and services call 345-2121 extension 254 or visit
the Student Placement Office located on
the second floor of the University Centre
Building.
The Student Placement Office also serves
High School students who are seeking
summer part-time employment.
The University provides new students
with many opportunities for intellectual
and personal growth. Personal problems
often interfere with student' academic and
social development. It is the concern of the
Dean of Students and his staff to maintain
in all students such a sense of well-being
that they are able to take advantage of all
the oppotunities for full development. The
Dean of Students and the University physician are especially qualified to help stu-

I
dents resolve their personal difficulties. The
Dean of Students is also available to help
students resolve problems connected with
their choice of a course of study or a
vocation.
The Dean of Students Office is also
responsible for various forms of financial
assistance to students. In addition to providing information and application forms
for the Government programs, the office
administers a number of scholarships, bursaries and awards. A summary of financial
assistance available to entering students and
continuing students in the faculty of science follows. Interested students requiring
more information should contact the Dean
of Students Office.

ENTRANCE SCHOLARSHIPS
C.J. SANDERS SCHOLARSHIP - $1500.
This scholarship was established from the
proceeds of a generous grant made by
Mr. Sanders to Lakehead University. To
be awarded to an outstanding student
enrolling in a course leading to a university degree at Lakehead University
under the following conditions:
(a) $500 payable at registration, provided a first class average in the grade
13 papers required for admission is
obtained, and financial need is known;
(b) $500 payable in the second and third
years respectively, provided that at
least second class average has been
obtained in the previous year of the
student's course at Lakehead University.
THE BORA LASKIN SCHOLARSHIP Five scholarships of $1000 each will be
awarded on the basis of academic standing to students entering the Energy and
Fuel Science programme. The scholarships are renewable for a maximum of
three years depending on academic progress.

�7.
KATHLEEN BOOTH SCHOLARSHIP Value totals $2000. This scholarship is
open to al I Mathematics Majors and wi 11
be awarded at the discretion of the
Department of Mathematical Sciences.
C.A.P. ONTARIO UNIVERSITIES' PHYSICS TEST SCHOLARSHIP - Full tuition costs. To be awarded on the
recommendation of the Physics Department to a student from Northwestern
Ontario who achieves high marks in the
C.A.P. Ontario Universities' Physics Test.
LAKEHEAD UNIVERSITY ENTRANCE
SCHOLARSHIP - $300. All students
entering Lakehead University with a
standing of 80% or over are eligible for a
Lakehead University Scholarship. No application is necessary for those scholarships awarded by the University since all
students with an overal I average of 80%
will be considered.
NORMAN S. GRACE SCHOLARSHIP $80. To be awarded on the recommendation of the Department of Chemistry to
a first year student of high academic
standing who registers as a Chemistry
Major.
AUXILIARY TO ST. JOSEPH'S GENERAL
HOSPITAL SCHOLARSHIP
$150. To
be awarded to a student preferably from
Northwestern Ontario, who is entering
the Bachelor of Science Nursing Degree
Programme. The scholarship will be
awarded on the basis of need and academic excellence.

ENTRANCE BURSARIES AND AWARDS
MARION E. TOMLINSON MEMORIAL
BURSARY - $1000. To be awarded to
a deserving student entering the degree
or diploma programme at Lakehead University. $400 at registration, $300 at the
beginning of the second year, $300 at the
beginning of the third year, provided
second class average is maintained.

JOSEPH MARIEN MEMORIAL BURSAR I ES
$500. Two bursaries of $500
each will be awarded to provide assistance to worthy and needy students
seeking higher education in a degree
programme.
IBM THOMAS J. WATSON MEMORIAL
BURSARIES - up to $200. To provide
financial assistance to one or more needy
students in good standing entering any
faculty at Lakehead University. In addition, the donor provides an annual grantin-aid of $500 to the University.
GREAT LAKES PAPER COMPANY FORESTRY BURSARY - $150. To be
awarded to a deserving student entering
the Forestry Diploma Programme at
Lakehead University with the intention
of proceeding to the degree programme.
LOGOZZO AWARD - $150. To be awarded to a student entering the first year of
a degree or diploma programme. The
student should have a good scholastic
record and excel at some athletic sport.
Application forms for Entrance Scholarships and Bursaries are available from the
Dean of Students Office.

ONTARIO STUDENT ASSISTANCE PROGRAMME
CANADA STUDENT LOAN PLAN
These programmes are administered by
the Ministry of Colleges and Universities of
the Province of Ontario. They offer Canada
student loans and provincial grants to provide awards for university and other postsecondary students.
To be eligible to apply through the
Ontario programme a student must be a
Canadian citizen or a landed immigrant
with at least twelve months residency in
Ontario.
An award is made after the student's
loan and possibly a provincial grant is
apportioned according to a formula established by the government.

�8.
Application forms and further details
about these programmes may be obtained
by contacting the Dean of Students Office.
It is strongly recommended that interested
students apply early to these programmes.
Entrance students may apply for assistance
before they receive their letters of acceptance from the university.

INCOURSE SCHOLARSHIPS ANO BURSARIES
A number of scholarships and bursaries
are offered exclusively to 2nd to 4th year
Science students. The following is a brief
summary of those available.
J.P. BICKELL FOUNDATION SCHOLARSH IP - $1500. (to be paid at a rate of
$500 a year for three years provided the
student maintains first class standing in
the course). To be awarded to a student
who obtains 80% in a science or applied
science course at the end of the first
year, who plans to take a degree in
mining, metallurgy, geology or chemical
engineering.
ALLIED CHEMICAL CANADA, LIMITED,
SCHOLARSHIP IN THE CHEMICAL
SCIENCES - $750 and silver tray. The
Allied Chemical Company of Canada,
Limited offers a scholarship of $750 and
a silver tray to be awarded to a student,
not otherwise holding a scholarship, entering the final year of undergraduate
studies in a chemistry programme. The
award will be based on high academic
achievement in previous undergraduate
years and leadership qualities as demonstrated by participation in extra-curricular activities.
PETER MCKELLAR SPENCE MEMORIAL
SCHOLARSHIP - $200. To be awarded
to a student who is continuing his
education at Lakehead University. Those
going on in Science, particularly Medicine or Nursing will be given preference.

CHEMICAL INSTITUTE OF CANADA,
LAKEHEAD UNIVERSITY SCHOLARSHIP - $50. To be awarded to an
outstanding student entering the third
year chemistry at Lakehead University.
The grade of the student receiving this
scholarship must not be less than 80%.
THUNDER BAY MEDICAL ASSOCIATION
BURSARY - $500. To be awarded
annually to a student or students who
plan to continue their education in medicine, nursing or pure science.
J.P. BICKELL FOUNDATION BURSARI ES - Total award $750. To be awarded on the basis of financial need to
students registered in geology, mining,
metallurgy or chemical engineering.
ABITIBI PAPER COMPANY LIMITED
BURSARY - $250. To be awarded on
the basis of financial need, to a student
showing general proficiency in his study
of science or forestry who has demonstrated his intention to pursue further
his studies in science or forestry at
Lakehead University.
PRINCESS BEATRICE CHAPTER 1.O.D.E.
BURSARY - $100. To assist a student
in science at the end of first or second
year. Awarded annually on the basis of
scholastic standing and financial need
with preference being given to a son or
daughter of a war veteran.
INTERPROVINCIAL PIPE LINE COMPANY BURSARIES Total value
$2500. Up to ten $250 bursaries wi 11 be
awarded to deserving students, depending
on need, who are continuing their education at Lakehead University; minimum
of 50% of the bursaries wi 11 be awarded
to students in the applied sciences.
Awarded to Canadian and United States
residents.
Application forms are available from the
Dean of Students Office and must be
submitted by August 8th, 1975.

�E SI

A OUT
by: Professor C. Garton,
Lakehead University, Thunder Bay.

•

WHY PRESS PLANTS?
If living material is available this at first
does not seem necessary. But our weather
here is seasonal, and even in the tropics
plants are subject to flushes of growth and
fruiting. Through drying and pressing you
can have plants at various stages of their
development, all available at the same time
for study.
Besides, in the field you cannot easily
examine a plant or its parts under a
microscope. It may not even be possible to
get it back to a laboratory to do so while
it is fresh. So, press it and examine it at
your leisure or convenience.

A further advantage of dried specimens
is that you can compare plants at different
stages of their development or the same
species from different localities. Individual
and geographic differences are as much a
feature of plants as of animals.
Another important point, particularly in
the naming and description of species: you
can examine the same plant even after
many years, for well-prepared and wel Ipreserved herbarium specimens will last for
centuries.
HOW DO I GO ABOUT PRESSING PLANTS?
Exact instructions can be secured from
the herbarium or from books. There are
several more general points to be noted.
1. Get good representative material, neither
too fat, too thin, too short, too tall.
When plants are averaging one metre tall,
it is foolish to select a 10 cm. dwarf
simply because it will go into your press.
2. When plants are smaller than your press
get several as different as possible to
show variation.
3. Whatever the pressed plant does not
show must be given in notes. If it is a
tree, how tall is it, what kind of branching it demonstrates, what its bark is like
(a sample if possible). Many trees bear
fruits which, like those of many other

9.

plants, are large and inconvenient for a
press - save these separately. With most
larger plants only fragments can be
taken; so notes must be made about the
whole plants.
4. Pressing does not usually retain the exact
colour of a living plant. Notes again
must record this.
5. All plant parts are three dimensional.
The pressed plant has only two dimensions. A careful collector will provide for
depth by such devices as splitting and
flattening, for example, the corollas of
tubular flowers, the leaves of the pitcher
plant. A few extra flower heads pressed
with the specimen can be included on
the sheet in small easily opened envelopes. This is particularly necessary
with grasses, sedges and al I plants where
seed attachment such as in the Crucifers
is critical in determining the species.
6. Unless a pressed plant is well supported
with critical data it is worthless for
future study. Date of collection, collector, place (and this must be exact
enough so that a reader can locate the
si~e), association (other plants growing
with this particular one) amount of light,
soil, moisture, habit of growth are some
of the necessary items.
It is wise to have in the field a pad with
duplicate sheets so that notes can be
made on the spot. The original is put
with the specimen at the time. The
duplicate provides a ready reference.
7. As to the actual mechanics of pressing
and mounting the specimen you will get
instructions and then develop your own
techniques. That will give you specimens
that wi 11 be a joy to behold and a
pleasure to study.

HINTS TO COLLECTORS
1. Latitude and longitude exact to the
minute.
2. Distance from nearest post office.
3. Other data as exact as possible: township, concession and lot number, river,
lake, stream etc.

�10.
4. All data not shown by specimen:
(a) Shrub or tree: height, type of
growth, bark characteristics.
(b) Herbs: type of growth - prostrate,

13. Gather mature seeds if available. These
can be put in small envelopes to prevent loss.
14. If the plant is parasitic, as dodder,

erect, climbing, submersed (give depth
of water), floating.
(c) Type of substrata: mud, silts, clay,
loams, sand, gravel etc.
(d) Plant associations: other dominant
plants growing with this species.
(e) Colour of foliage and inflorescence,

recognizable portions of the host plant
are desirable.
15. Plants should be put in the press for a
few hours to relax. Then leaves, stems
and floral parts can be straightened and
rearranged.

etc.
(f) Name of collector.
(g) Date of collection.
SPECIMENS:
1. Average specimens as available. Smaller
or larger than average specimens should

2.

3.

4.
5.

6.
7.
8.

9.

be avoided.
Use newspaper folders which are smaller than 12" x 18" (News Chronicle
and Times Journal excellent. Toronto,
Globe &amp; Mail, Star etc. are too large).
Bend and criscross specimens to fit
sheet. Make sure there are no protruding parts.
Arrange specimens so that leaves show
both dorsal and ventral surfaces.
Arrange floral parts to show all floral
structures. It may be necessary to split
tubular corollas etc.
Extra floral parts should be gathered
where available.
For grasses, sedges, rushes, etc. extra
heads should be gathered.
If available, be sure to collect enough
specimens to completely fill 2 full
sheets.
If a plant is rare, as with orchids, one
specimen as a record is sufficient in the

interests of conservation.
10. Be sure to collect al I parts of the plant,
including underground portions.
11. Roots etc. should be washed and dried
off before pressing.

12. Flaccid plants, particularly water plants
need to be floated in water over a
screen and I ifted out on the screen to
prevent matting. If these are allowed to
dry for a few minutes the plants can
then be transferred to the newspaper
folder with ease.

SPECIFIC DATA FOR FAMILIES AND
GENERA:
1. Crucifers must be gathered with some
mature fruit.
2. Sedges, grasses and rushes must have
mature seeds but the heads must not be
desi ntegrati ng.
3. Violets must have roots and rhizomes
for determinations. Also, the late summer flowers or cleistogenes should be
gathered.
4. Hawthorns require collection of flowers
and, later, mature fruits.
5. Ferns must show the type of indusium
6. Pond weeds must show mature fruiting
heads along with underground rhizomes
7. Composites must show type of florets
and the involucre.
8. Orchids are usually covered with a
heavy waxy epidermis. This prolongs
drying time. In addition orchids have
juices which are readily oxidised. Discolouring is almost inevitable unless
gentle heat is used to hasten drying.
9. Mature fruits as in roses, currants etc.
should be gathered and pressed. If
possible these should be preserved in a
suitable preservative in vials.
10. Cactus plants are extremely resistant to
desiccation. These are usually split in
half.
11. Mosses, lichens, and liverworts should
be separated from substrata and pressed
with gentle pressure as with other
plants.

12. Most legumes must show both flowers
and mature fruits for determination.
GENERAL:
1. Moderate pressure is essential. Extreme
pressure produces brittle, deformed specimens.
(continued page 15)

�by: Dr. A.N. Hughes
Lakehead University, Thunder Bay.

One of the great privileges of academic
life (and, in my opinion, one which must
be preserved at almost any cost) is sabbatical leave. This allows a professor who is
somewhat ragged at the edges to go elsewhere and engage in scholarly activity of
his choice for a year free from the daily
cares of routine administration, University
politics and student lynch mobs thirsting
for his blood. If he so desires, he may not
only change his location but he may also
change to another culture. This is what I
chose to do when after investigating various
Universities active in my research field
( organophosphorus chemistry) in Australia,
Britain and Germany, I decided to spend
my year at Mahidol University in Thailand.
The reasons for this were numerous.
First, I had spent the years 1960-62 in
Malaya (now Malaysia), and my wife and I
had been very happy in South East Asia
despite the Malayan emergency which finished shortly after our arrival. During our
time in Malaya, we had visited Thailand as
impoverished tourists and we were greatly
impressed by the country, especially by the
Thai culture and the easy acceptance of
foreigners by the Thai people. We later
returned to Thailand for a much longer
stay ( 1964- 1967) where I worked at the
University of Medical Sciences (now Mahidol University) in Bangkok.
Our three years there had been very
rewarding and academically successful, and
we had made many Thai friends. We
therefore decided to ask if we might go
back for a further year, knowing how good
the facilities for chemistry were there. We
were accordingly delighted to hear from
the Dean of Science, Dr. Kamchorn Manunapichu, that not only were we welcome
but that he had arranged for the required

Thai government approval of my visit,
air-conditioned office space, full library and
laboratory faci Iities and a car for my use a treatment which few sabbaticants in the
western world would receive! In return, the
University asked me to set aside only two
or three hours each week to lecture on my
special research interests and to advise
graduate students from time to time. These
arrangements were ideal for sabbatical
study and we therefore set off for Bangkok
in 1973, via Singapore and Malaysia.
The day after our arrival we were able to
find an excellent fully air-conditioned
apartment in a block consisting of several
low buildings grouped around a central
court containing miniature Japanese gardens, shaded lawns, clumps of bamboo, fan
palms and a swimming pool. These apartments were situated next to a beautifully
landscaped small estate owned by a princess and were extremely wel I run by the
Thai owner who ran them almost like a
friendly club. Ail cleaning and laundry
were done for us and we hired our own
cook. There was the added bonus of an
armed police guard on the gate at night to
discourage burglars who are sometimes
quite violent when caught in the act. These
apartments were about ten minutes walk
from the University but about 45 minutes
drive. The Bangkok traffic is an unbelievable nightmare with eight-lane highways
completely jammed for miles at rush hour
(which seemed to be all hours except
midnight to 6 a.m.).
Before describing our year in Thailand, a
brief account of the country is in order.
Formerly known as Siam (the name was
changed about thirty years ago), Thailand,
which means the land of the free, lies

south of China and is bounded by the
turbulent countries of Burma, Laos and
Cambodia and the more tranquil Malaysia.
Alone of all South East Asian states, it was
never a colony of a European power. This

�12.
was in large part due to the high degree of
skill in dealing with Europeans shown by
the rulers of the country, principally King
Mongkut (inaccurately portrayed in "The
King and /
and his son Chulalongkorn, at
the time of colonial expansion in this area.
The absolute monarchy was overthrown
very politely and gently in the Thai manner
in 1932 and the country became a constitutional monarchy ruled by a variety of
civilian and military governments ever
since. Most changes of government have
been effected by coups d etat, many of
which, by the standards of the rest of the
world, have been very gentlemanly affairs
having no great effect upon the general
population other than a few tense days.
However, the revolution which occurred
during our visit was somewhat different more of this later. The present monarch is
King
Bhumibol
Adulyadej,
otherwise
known as Rama IX, and the religion of the
country is Hinayana Buddhism. This last
probably explains the gentle and tolerant
nature of most Thais. The capital is Krung
Thep {the City of Angels) which is known
in the West as Bangkok. It is a modern city
of three million people and is situated on
the central rice plain near the mouth of the
Chao Phya river.
0

)

1

The University system in Thailand in
some ways resembles a combination of
European and North American systems but
superimposed upon this is a strong Thai
flavour. For example, in Bangkok there are
five Universities but only one of these is
the very broad based University of the type
which one would see in Canada. This is
Chulalongkorn University which was founded about seventy years ago and which has
the usual faculties in Arts, Science, Engineering etc. which we associate with
Western Universities. The other Universities
are somewhat different in character. Thus,
Thammasat University, The University of
Moral and Political Philosophy, is almost
exactly what its title implies and has (very
sensibly some would say) no faculties or
departments of physical, biological, earth or
applied sciences. It produces many of the

nation's lawyers for example. The three
other Bangkok Universities are very like
large professional institutions with the
emphasis on some aspect of professional
activity, such as Mahidol University (the
University of Medical Sciences), Kasetsart
University (Agriculture) and Silapakorn
University (Fine Arts).
Three regional Universities lie outside
Bangkok. The oldest of these ( 1963) is
beautifully situated at Chiangmai in the far
north of Thailand with the other two at
Haadyai (extreme south) and Khon • Kaen
(north east). These are building up to the
conventional broad based structure of a
Western University.
Virtually all instruction in Thai Universities is in Thai although most students have
a working knowledge of English. Perhaps it
should also be added that the Thai
language sounds something like Chinese but
in reality it is a mixture of monosyllabic
tonal (five tones) words similar to Chinese
together with many polysyllabic words derived from Sanskrit.
Mahidol University has a number of
faculties such as Science (where I was),
Medicine (two teaching hospitals), Dentistry, Tropical Medicine, Pharmacy and
several others relating to the study of
medicine scattered all over the city. The
Faculty of Science was founded about
fourteen years ago by a very able Thai
chemist, Professor Stang Mongkolsuk, who
was tragically murdered a few years ago. It
consists of a giant complex of seven sixstorey buildings, built over the last seven
years, which are extremely modern and, on
the whole, very well equipped. The funds
for building such a complex came from the
Thai government and the Rockefeller
Foundation, and technical assistance in the
way of small number of academic staff,
technical workshops and certain pieces of
advanced equipment have been provided by
the Rockefeller Foundation, The Columbo
Plan (Britain and Australia), M.I.T. and the
German government. There is also an English Language Institute and a very good
library (particularly for Chemists). The
Faculty of Science is also wel I sited in

�13.
relation to other institutes of advanced
study which have a variety of equipment
and library facilities and the nearby National Research Council of Thailand has some
excellent facilities.
The Department of Chemistry is housed
in one of the large modern six-storey
buildings and is well staffed with very able
Thais trained to the doctoral and postdoctoral level in a number of countries
such as Canada, Britain, Australia, New
Zealand, the United States, Germany and
Norway. The degree program is four years
with the first two years fairly general in
nature but with the last two years being an
intensive treatment of Chemistry at a level
comparable with that in Canada. The emphasis is upon organic chemistry and physical chemistry since there is a shortage of
teachers highly trained in inorganic chemistry.
The research effort is relatively recent
but al ready there are active research programs in physical and organic chemistry
with the main research areas in liquid
crystal studies, the nature of oscillating
reactions, natural product characterizations
and synthesis, the development of new
organic synthetic methods, mechanistic investigations and now organophosphorus
chemistry. The range of equipment available for these studies is impressive. For
example, they have a Varian A60-D NM R
spectrometer on the premises with access to
two other NMR spectrometers in other
institutions. In addition, there are the usual
infrared and ultraviolet spectrophotometers,
analytical and preparative gas chromatographs and facilities for C, H and N
microanalysis. A further range of modern
equipment is also available in the wellstaffed Department of Biochemistry. There
is as yet no mass spectrometer, but moves
have been initiated to acquire one in the
fairly near future. A small but modern
glassblowing shop set up with the aid of
the German Government completes the
facilities. On top of this, the worldwide
contacts of the staff makes most types of
instrumental investigation available to the
department.
I

These research programs have been conducted by the academic staff but recently,
a substantial number of students have been
enrolled in the M.Sc. graduate program
which has been running in its present form
for three or four years. At the moment,
there are about 35 students involved in
physical and organic graduate work and,
after about eight months of intensive
course work, the students become actively
engaged in research in cooperation with a
staff member or a group of staff members.
This year, the doctoral program in Chemistry started and the first students are now
enrolled.
All of these research efforts are greatly
aided by the fact that Bangkok has a major
international airport with most of the
world's leading airlines calling there. There
is therefore a steady flow of distinguished
academics and technical experts from other
countries through Bangkok and the internal
seminar program is reinforced by several
guest lectures each year from visitors to
Thailand. I should also add that I am not
the first sabbatical visitor to the Department of Chemistry. There have been other
such visitors from Britain and Australia
and when I left, another Canadian chemis~
was enquiring about the possibility of going
to Thailand. Also, Dr. Hart of Lakehead
University visited the Department of
Physics a few years ago.
My own work there fol lowed two main
lines. The first of these was to write in
cooperation with Dr. Holah and Dr. Hui of
Lakehead
University,
several
research
papers on results accumulated on various
research projects in organic, organometallic,
and inorganic chemistry over the previous
eighteen months or so. Also a major review
of the coordination chemistry of phosphorus heterocycles was prepared for publication. The second aspect of my work in
Bangkok was to start a research program
there in organophosphorus chemistry. In
particular, I wished to start an investigation
of the synthesis and reactions of a class of
compounds cal led the benzophospholes
which have the structure shown below.
I

�14.

benzophosphole

phosphole

These are of particular interest at the
moment because they have as yet received
virtually no attention and because they are
closely related to the phospholes. The
phospholes have provided a puzzle regarding their electronic structure which has still
not been satisfactorily solved even after
about fifteen years of study. In this connection the behaviour of the phosphorus
non-bonding electron pair is of interest.
I was very fortunate to have two graduate students offer to do their research
work under my supervision jointly with
two Thai staff members. Th is work proved
to be experimentally very difficult but has
now begun to yield useful results. Thus,
one of the students has been able to
expand the five-membered ring in benzophospholes to a six-membered ring by two
different methods involving the nonbonding electron pair and this provides
valuable information regarding the electro~ic structure of the system. These results can be integrated with the work we
are doing at Lakehead University which is
to look at the coordinating ability of
organophosphorus compounds towards various transition metal systems. It is possible
that some of the resulting compounds will
have catalytic activity in a variety of
reactions and, indeed, we have prepared
several such catalysts, two of which show
excel lent activity in homogeneous hydrogenation reactions.
In addition to my writing and research, I
gave a course in organophosphorus chemistry to the graduate students. This was
invaluable to me since it made me get up
to date in a number of areas which,
through pressure of work I had been forced

to neglect until then. I was also invited to
give the same course on a crash basis (four
hours a day for a week) to final-year
undergraduate students at the new Prince
of Songkhla University at Haadyai near the
Malaysian border about 700 miles south of
Bangkok.
This trip was a very nice change although it had its exciting moments since
bandits and insurgents occupy a number of
areas in the region which is mostly jungleclad hills. Also, I was told that four people
had been shot at the University in the two
months preceding my visit. The University
has two campuses separated by about 100
miles, and while driving from the main
campus at Haadyai to the other one at
Pattani, my Thai companion pointed out
the sites of various armed bandit attacks
and shoot-outs. On the return journey after
dark, it was suggested that I should keep a
look-out for roadblocks and for lights in
the hills. I was told, however, that if we
reached safely a particular point on the
road, there should be no problem thereafter!
Apart from the academic success of the
year, there are a number of other things
upon which we can look back. Undoubtedly the highlight of the year was the
revolution which occurred in mid-October
1973 about 3½ months after we had
arrived. This had been simmering for a long
time and probably only a Thai could give
the real detailed reasons for it. However, it
was clear that the people in general were
dissatisfied with the authoritarian and apparently corrupt way in which the Prime
Minister, (Field Marshall Thanom Kittikachorn) the Deputy Prime Minister,
(General Prapas Charasutiara) and the
Prime Minister's son (Narong Kittikachorn)
were running the country. Accordingly,
protests and demonstrations, led mainly by
students, bui It up gradually over a period
of several weeks and finally came to a head
with troops, police and many helicopters
firing upon huge crowds of demonstrators
near Thammasat University and the old
Grand Palace. This resulted in two or three
days of heavy fighting, mainly in the city

�15.
centre, with about a thousand people being
killed or wounded. Several government
buildings were destroyed by fire and towards the end of the fighting, a large group
of Engineering students laid siege to the
main police headquarters. This was situated
in such a fashion that the students had to
cross a large expanse of open road to
approach the building and over twenty
students were shot down while storming
the headquarters. Finally, the building was
set on fire with the aid of a water truck
containing gasoline.
These events resulted in Thanom, Prapas
and Narong being ordered out of the
country by the Army Commander who
refused to fire on the demonstrators any
more and, under the guidance of the King
(a highly respected figure), an interim
government was appointed and charged
with formulating a new constitution leading
to elections. These have now been held and
Thailand is ruled by a representatively
elected government.
During these events, we retired to our
apartment compound .and from the roof
watched buildings burning in the distance
and listened to the wail of ambulance
sirens. We heard only one or two shots in
our area. On the first day of fighting, I
tried to get to work but the traffic lights
were all smashed, the roads were littered
with broken glass, debris and smouldering
barricades and al I police had fled the
streets. It was therefore pointless in view of
the choked roads to attempt the drive, and
I returned to the apartment.
The remainder of the year was extremely
pleasant. For example, we were able to
visit the northern capital of Chiangmai
which is a very old city, formerly the
capital of an independent state, situated in
a beautiful valley, surrounded by jungleclad hills inhabited by various non-Thai hill
tribes. It is as yet relatively uncontaminated by the West but, unfortunately, it is
beginning to change its character with
luxury tourist hotels being built. We were
also able to feast regularly upon a tremendous variety of foods such as Thai,

Chinese (several styles), Korean, Indian,
and Indonesian, as well as various Western
styles. Some items on the menu may not
appeal immediately to the Canadian palate.
For example, among other things, at country restaurants I have eaten chopped cobra
fried with red chili, deep fried tree lizard,
fried frogs, chicken claw skin in chili
vinegar and pigs duodenum together with
less easily identified dishes, most of which
were delicious. However, I decided to miss
out on the bats blood soup.
The year was so rewarding that I could
write on and on about up-country trips to
make end-of-Buddhist-lent offerings to the
monks at a country temple, the beauty and
rhythm of Thai classical dancing, the calm
of the Thai countryside, the superb National Theatre and Thai art in general (see
front cover), and the colourful markets.
Indeed, I often feel that the Thais have a
lot more to offer us than we have to offer
them. However, the year (and this article)
finally came to an end and we managed to
secure cheap ( ! ) charter flights home via
Moscow which seemed to us to be a very
gloomy and rather bad-tempered city. It
would, however, be wrong of me to close
before thanking Drs. Kamchorn Manunapichu, Vichai Reutrakul, Siriporn Phisithkul, Kosan Kusamran and my other Thai
colleagues for making my visit so academically and socially successful.
ABOUT PRESSING PLANTS (from page 10)
2_ Ventilators and driers should, if possible,
be changed every day and sun-dried. If
weather does not permit, then spread in
a heated room.
3. If extra sets of ventilators and driers are
not available, several thicknesses of newspaper between each specimen sheet is
helpful.
4. Counter cheque books make a good
form of record. The original is put with
the specimen and the duplicate forms a
chronological diary of specimens.
5. Be sure to number your specimens either
using numbers chronologically from year
to year or prefexing as: 75-1, 75-2, 75-3
etc; 76-1, 76-2, etc.

�16.

ASBESTOS CONTA INATION OF LAKE SUPERIOR
and

Dr. I.A.ROSS
The ready availability of sophisticated
analytical equipment in the past two
decades has caused experimental scientists
to become increasingly aware of the pronounced physical &amp; chemical effects that
may arise through the presence of impurities and/or imperfections in inorganic
or organic materials. Thus, for example,
profound changes in the electrical conductivity of germanium or silicon can be effected by introducing into their lattices extremely small amounts of elements from
adjacent columns of the periodic table. At
liquid helium temperature, -4° K, the resistivity of germanium changes from 10 10 to
5 x 10-3 ohm cm when the impurity concentration of antimony is increased from
5 x 10 14 to 10 18 atoms cc-1 . The contribution of Bardeen, Brattain and Shockley
to the theory of such phenomena resulted
in their receipt of a Nobel prize and we
have all benefited tremendously in the
application of these concepts to technology
- transistor radios, time-pieces, miniature
circuits and so on.
There are many further examples of
scientific and medical phenomena of major
import that can be initiated and sustained
through the intervention of impurities within a reaction process or system. In research
laboratories dealing with studies of reactions at interfaces results are often painfully distorted through the contamination
of surfaces by traces of unknown species
that have been unwittingly introduced to
the system during a prior preparative stage.
In this connection the possible presence of
impurities in wash water presents a particular hazard.
Lakehead University takes its water from
the Port Arthur ward system in Thunder
Bay. This water is drawn from Lake Superior and is largely untreated. There are many
'tales' - old wives' and otherwise - regard-

ing the quality of this water and, among
other suspected contaminants, asbestos may
be present. There is sufficient responsible
scientific and medical opinion regarding the
possible health hazards of this material,
that further motivation was added to the
Lakehead quest to obtain an analysis of
asbestos fibres in our water supply. For
comparison, data were also obtained for
the asbestos content in water taken from
homes in the Fort William ward and in
Duluth, Minnesota.
The results below were obtained by
Allan MacKenzie, using the electron microscope of the Instrumentation Laboratory in
the Faculty of Science, towards the end of
January, 1975.
Fibre count (fibres.litre-1 )
Doubly Distilled Water
0.15 x 106
Tap Water:
0.17 X 106
F.W. ward
P.A. ward
0.45 to 14.7 X 106
Duluth
12 X 106
(The high result for the Port Arthur
ward has since been shown to lie within
the range determined by scientists at
McMaster University, 10 to 20 x 106 fibres.litre-1, on samples of Bare Point water the source of the Port Arthur supply.)
A substantial amount of public concern
regarding the quality of the drinking water
supply in Port Arthur ward has been apparent for several years and this concern
was increased by the publication of the
Lakehead University results. Reports and
interviews have been carried in print, sound
and vision by all the local Thunder Bay
outlets and in Duluth, Minnesota. We reprint below an interview with Dr. R.A.
Ross, Dean, Faculty of Science, which first
appeared in the "Biology Newsletter" of
Lakehead University in March 1975.

�17.

ASBESTOS:
An Interview with Dr. Ross, Dean of Science
0. (BIOLOGY CLUB NEWSLETTER}. What
was the asbestos content of the Port Arthur
tap water which you sampled?
A. (DR. ROSS). We found 14.7 x 106
fibres/litre in the water.
0. How does this value compare with the
Government's findings?
A. Their values show less than 1 x 106
fibres/litre.
0. Do you know why there is a discrepancy
between these figures?
A. We are not sure. Their samples were
taken last fall, presumably from the lake.
We sampled the tap water somewhat later.
The handling of the samples might influence the results. For example, asbestos is
known to stick to the sides of glass
containers, if stored for a period of time.
Since the government samples are not
tested here, but are sent away for analysis,
we may speculate that they are stored for
longer periods than our samples.
The government uses a different analytical technique; however, this should not
produce discrepancies of this order of
magnitude.
0. Is a standard technique available?
A. No. Different laboratories use different
methods. We plan to conduct a series of
some fifty tests on water samples to examine the effect of the nature of the
container and of the prior treatment of the
container on the asbestos content of water
over a period of weeks. We have also
volunteered to test a sample, obtained by a
neutral sampler, that the Government and
McMaster University would also test, in
order to compare results; but the Government does not have enough funds available
at this time.
0. Would the presence of asbestos in the
air affect the asbestos content of your
samples?
A. No. The samples are kept in sealed
containers.
0. Is there any way of identifying the

source of the asbestos fibres?
A. There are various types of asbestos. It
occurs in two main forms: a chain type
and a sheet type. Electron and x-ray
diffraction techniques, in combination with
electron microscopy, can distinguish between them. The type of fibre would
depend on the source of the fibres.
0. Do you have any idea where the
asbestos is coming from?
A. At the moment we have no conclusive
answer.
0. What is the safe level for asbestos in
water?
A. It is not known if asbestos is harmful if
taken orally. The Government is doing
some studies on rats concerning the oral
ingestion of asbestos, but until these
studies are completed, we can only speculate regarding the danger from the asbestos
in the water.
0. Do you know if asbestos would have a
synergistic effect in combination with other
chemicals, which might be present in water.
A. No. An in-depth study of the biological
properties of asbestos is needed. We have
little idea, in fact, of the surface properties
of asbestos. Dr. Murphy, who is working in
my laboratory, is studying this aspect of
asbestos. Synergism is possible. What we
really need is a complete study that would
identify every component of the water and
examine the possible interactions of the
substances present.
0. What do you think should be the next
step in research of this nature?
A. As I already mentioned, asbestos is not
the only substance to be found in tap
water. Until a complete study of the water
is performed, to include both organic and
inorganic substances, we cannot tell what
dangers, if any, are present. It is possible
that there are substances which should be
of much greater concern than asbestos.
In terms of asbestos, we need to find the
safe level, before we can take any action.
Government controls of gaseous emissions
are very stringent, but much more work is
needed with liquid effluents.

�(14,300 X)

Dr. R.A. Ross,
Dean, Faculty of Science
One of the areas of research of
Dr. Ross and his team relates to
asbestos in our drinking water.

Transmission electron micrograph of asbestos fibres in our
water samples. (Note tendency for fibres to clump into
bundles).

Scanning electron micrograph of diatomaceous and other
debris found in our water samples.

Mr. Al Ian MacKenzie examining water samples at Lakehead
University with a
transmission electron microscope.

�AFFECTIVE CONTRAST: BEHAVIORAL CONTRAST OF LIKING
by: Dr. S. R. Goldstein
Lakehead University, Thunder Bay.

If psychologists were asked to identify
the single most important adaptive mechanism adjusting organisms to their environment
they would probably point to the ability to
form discriminations as their first choice.
The reason for this choice is fairly obvious;
organisms must behave in different ways in
different contexts if they are to survive. It
is therefore, not surprising, that during the
past 50 years a great deal of laboratory
research has been directed at learning about
how discriminations are formed.
One rather interesting recent finding is
that the formation of a discrimination is
frequently accompanied by certain behavioral "side effects". In what follows I
describe a standard laboratory demonstration of a discrimination and a side effect
called behavioral contrast as a means of
introducing one aspect of my experimental
extension of this area.
To demonstrate the formation of a discrimination, a hungry animal, say a pigeon,
is placed into a small experimental space
called a Skinner box. The box contains a
circular target-striking device mounted at
the bird's eye-level on one wall of the
chamber. By the use of a control switch it
is possible to illuminate this target with
one of several colored lights. The Skinner
box also contains a mechanism that delivers a small amount of grain to the pigeon
if and when he strikes the target.
The pigeon is first taught to peck the
target by rewarding or reinforcing, with
food, only those responses that progressively resemble the appropriate response. When
the bird is pecking at a substantial rate the
response key is successively ii luminated
with a red and then a green light to
determine whether the pigeon has a natural
tendency to peck at different rates in the
presence of the two lights. Since the bird is
being equally rewarded in the presence of
each light st'imulus any preference will soon
disappear.

To establish a discrimination, conditions
are arranged so that responses made in the
presence of, say, the green light continue
to be reinforced while those responses
occuring during the presence of the red
light go unreinforced. Figure 1 shows the
outcome of such an experiment. Section A
of the figure shows that during pre-discrimination training the rate of response to the
red ahd green lights are about equal. In
section B we see the expected decline in
response rate to the red stimulus signalling
nonreinforcement. It is, however, the response rate to the reinforced green stimulus
that is of special interest; for instead of
maintaining the prediscrimination rate of
response we now find that the rate •has
increased above baseline even though the
reinforcing status of the green light has
remained unchanged. The diverging response rates to the green and red lights are
indicative of a discrimination and the increase rate of response above baseline level
is indicative of behavioral contrast. Although we do not have a ful I explanation
of behavioral contrast, in some way or
another it is apparently related to the
aversive or inhibiting consequences of nonreinforcement.
A criticism frequently directed at behavioral research with "lower" organisms is
that such work is totally irrelevant to the
complex functioning of the human mind.
Of what possible significance is it to us, so
the argument goes, that a rat or a pigeon
shows behavioral contrast while learning to
discriminate red from green lights in a
highly artificial environment?
Consider then, the following more relevant situation. Our so called attitudes and
feelings about one another are determined
to a large extent by certain kinds of
information we infer, experience directly,
or have conveyed to us by certain others.
For example, if a stranger is characterized
to you as opportunistic, cunning and selfcentred, your reaction to him on first
meeting will be colored by this description
and will probably be negative.

�20.
In the following experiment, introductory psychology students were presented a
series of slides of two imaginary people
cal led Person A and Person B. An adjective
was placed on the bottom of each slide
describing the person in question. The
students' task was simply to rate, on a scale
from 0 (Dislike) to 5 (Like}, how much
they liked the person in question after
having seen the descriptive adjective. Two
imaginary people were used in this experiment as a para I lel to the red and green
light conditions in the pigeon experiment.
Thus during the first, prediscrimination
phase of the study, the adjectives describing both Person A and Person B were
selected which, previous research had
shown, had a "likeableness" value in the
2.5 or neutral range. A total of 10 such
slides for each "person" were presented.
Immediately following this, the adjectives
describing Person B were changed for the
worse; in fact to levels which previous
research had shown were in the 0 to 1
range. Again ten such slides were used. At
the same time the quantitative value of the
descriptive adjectives for Person A remained
unchanged so that in all, a total of 20 slides
of equal value were used to describe Person

A.
Figure 2 shows the results of this study.
Section a,
the prediscrimination phase
shows that both Person A and Person B
were equally liked, according to the ratings.
Section b shows that when negative attributes were used to characterize person B
his rating dropped rapidly and approached
zero. But most significantly for our purpose was the fact that although the likeableness content for Person A remained
unchanged as Person B got worse, Person
A's appeal increased significantly in the
eyes or minds or behaviour of the students
doing the rating.
The experiment, therefore, points to a
continuity in the formation of discriminations acrpss a wide range of species and
situations. In addition the experiment suggests that behavioral contrast may be the
mechanism behind various types of prejudice whereby one gains a better estimate of
oneself

by

putting

someone

else down,

even though the new incoming information
about oneself does not warrant the enhanced evaluation.
Finally on a more optimistic note, laboratory research has taught us a great deal
about the nature of behavioral contrast,
including several ways of preventing its
formation. My students and I have extended these techniques to situations like the
one described above and have obtained
some promising results. At the same time
we have begun to extend the idea of
behavioral contrast to such diverse areas as
population dynamics and marxian dialectics.

BEHAVIOURAL CONTRAST

B

A

w

~
a:
LU

(/)

z

2
(/)

w
a:

TRIALS

Figure 1: Rate of response to a green and a red
light when both are equally reinforced (Section A)
and when responses to red are not reinforced while
responses to green continue to be reinforced
(Section 8). x is the expected projected rate of
response to green, y shows the actual rate.

AFFECTIVE CONTRAST
a
PERSON A

I\

I ~-- ·~~PERSON

0

I

0

5

I

I

10
15
WORD NUMBER

B

I

20

Figure 2:
Behavioral contrast of "likeableness"
ratings. In section a the information content for
Person A and Person B was the same and so are
the likeableness evaluations. In Section b the
likeableness ratings for Person B go down as
negative information is received while those for
Person A go up even though the "likeableness"
information remains unchanged.

�ETRIC Tl

?

RELY Y

by: Professor John Hart,
Lakehead University, Thunder Bay.

Almost everything that could be said
about the metric system has been said in
the past hundred years or so, and despite
the efforts of various commissions to inject
some liveliness into the subject, it's a dead
issue: in the contemporary jargon, SI units
are here to stay. It is a pity that some of
the terms we have to use reflect the
stupidity of the scientists af international
standards commissions and the recalcitrance
of certain nations; but the fact is that to
the world at large, metrication is pretty
much a dead issue, and the amount of time
and effort that is going into selling the
system to North America is largely wasted.
Why then, Mr. Editor ( I think you were
born in a metric country?) why then
should I waste your readers' time with yet
another article on metrication: why soil the
pages of CARET with such pollution? My
motivation, my dear friend, does not concern metrication as such. The decision as to
which system of units a nation should use
is largely a legalistic matter, and metric
units have been legal in Canada for many
more years than most readers of CARET
have been living. The real issues concern,
not metrication, but standardization, a matter which has intensely emotive, economic
and political overtones.
By the time this issue of CARET is
published, we shall have some idea as to
whether the Celsius degree will be, perhaps
grudgingly, accepted; and as for other
common units, most of us can recognize a
metre and its one-hundredth part, the
centimetre (not meter, by the way); the
kilogram is now moderately familiar to the
purchaser of HIGHLINER fishcakes {the
housespousf??); and, if he has the cash, the
lush can buy a litre of wine, (the 'large'
bottle), to slake his insatiable thirst. Electricity, of c:ourse, has always been billed in
metric unit~;.
1

I

No - it is not the units that constitute
the problem, it is the standards that we
have to worry about. In this context, I do
not mean the kilogram of platinum-iridium
kept in the basement of the Bureau International des Poids et Mesures at Sevres in
France. I mean the hundred grams of butter
and the half-litre of lighter fluid; I also
mean the screw that has one thread per
millimetre and the cookie tray that is 25
by 50 centimetres.
Confused? You may well be. Yet, a shift
in the units of measurement gives us a
glorious chance to standardize, or to use a
more appropriate word - rationalize all
kinds of products. ( Rationalize comes from
the same root as ratio, meaning that human
reasoning is at work, which is a nice
put-down for manufacturers who do not
rationalize!)
Metrication and
rationalization, though loosely connected are not
entirely the same thing. To illustrate: take
the time to look on the grocery shelves and
see if you can spot the rationalized sardine
can, as distinguished from the unrationalized one containing 127 grams. Why 127?
Is it a coincidence that 127 is a prime
number? What is the cost per unit weight
(mass to the cognoscente) of 127 grams of
sardines at 23','t? Get the point? Why not
125 (to divide by 125, multiply by 8 and
divide by 1,000 - cost per kilogram,
$1.84); or better still, why not 200 grams?
To the everlasting credit of the manufacturers producing them, some consumer
products are being rationalized on a voluntary basis. But there is in Canada, so far as
I know, no enforcing legislation (except in
certain special cases) specifying the normal
si.z:es of packaged products; so that prod~cers are free to pack whatever weight of,
say, breakfast cereal they think will have
t~ e most cost-effective consumer impact,
whatever that may mean! In Europe standard packages are the rule rather than the
exception. All who think that the voluntary standardization of consumer products
1

�22.

will be adhered to in Canada by multinational corporations, stand in the corner.
There is another side to the question;
and for products that manufacturers purchase (it is often forgotten that manufacturers are also consumers) the incentive for
standardization is quite strong. Perhaps you
service your own car? How many screwdrivers and wrenches do you need - how
often do you have to make a new thread in
an old hole (or use bailing wire, heaven
help you) because you cannot get a screw
to fit? You may be interested to know that
the average vehicle uses about 3500 - yes,
three thousand five hundred fasteners; and
for a staggering statistic, how about the
eleven to twelve thousand different fasteners used in the military hardware of the
western world? By standardization, this
huge inventory of nuts and bolts could be
cut in half, with significant increase in the
efficiency of the automotive trade.
The chances of a standardization scheme
sticking in a manufacturing chain are about
fifty-fifty. Some schemes that al ready exist
are very successful; all 35 millimetre films
fit virtually all 35 millimetre cameras: some
schemes have never quite made it so that
typewriter ribbons and video tapes come in
almost as many specifications as there are
·machines.
Why are standardization schemes only
moderately successful? I can identify three,
though there are obviously many more
than that. The first is what I cal I the
foreman's elbow syndrome". (The foremen
in dyeing plants long resisted the introduction of thermometers, because their elbows were quite sensitive to deviations
from the required temperature.) In other
words,
let the others change - we've
always done it our way, and our way is
best". (That is why we had to throw out
the perfectly sensible word Centigrade in
favour of the misguided Mr. Celsius, a
gentleman who got the freezing and boiling
points of water inverted.) The second reason concerns the lack of perspicacity of
design engineers, architects and suchlike
who, faced with an intractable problem
involving the fitting of one part to another
11

11

may prefer to take the easy way out and
design a new part, rather than adapt the
design to use existing standardized parts.
Quite often, the new part does not work
very well, and a piece of the product falls
off. Third, there is the deliberate manufacture of a device designed to reject the
product of a competitor. One classic example from World War I was the German
rifle which accepted bullets of the other
side, but not vice versa. Then, between the
wars, there was a spate of razors with
special ridges designed to reject al I but
one make of blade. Today, we have vacuum cleaners with special bags: other
examples will come to mind.
There is one aspect of standardization to
which my readers and their mentors might
give some thought. It is this: how far do
we want to go? Is standardization superceding reason? Is there a connection be~
tween the drab frenzy of our lives and the
uniformity imposed upon us by our technological culture? Can we build a picturesque village from standard construction
units, a poetic forest from standard trees,
an exciting year from uniform days? Perhaps I push the argument too far. Here, for
a contrasting viewpoint is Walt Whitman:

A vast similitude interlocks all
All spheres, grown, ungrown, small, large, suns,
moon, planets,
All distances of place, however wide,
All distances of time, all inanimate forms,
All souls, all living bodies though they be ever so,
different, or in different worlds,
All gaseous, watery, vegetable, mineral processes, the
fishes, the brutes,
All nations, colors, barbarisms, civilizations, languages
All identities that have existed or may exist on this
globe, or any globe
All lives and deaths, all the past, present, future,
This vast similitude spans them, and has always
spann'd,
And shall forever span them and compactly hold and
enclose them.
From "On the Beach at Night Alone"

�HO

ANY VILLAGERS?

23.

an exercise in ma ematical geography
by: Mr. Robert S. Dilley
Lakehead University, Thunder Bay.

A problem that frequently faces geographers is that of demonstrating relationships among a number of variables. It is
sometimes possible to study geographical
interactions under laboratory conditions:
for example, glaciologists can use refrigerators to subject rocks to various kinds of
freeze-thaw action. The human geographer
has greater problems, in that he can observe people (though often with difficulty)
but not experiment with them. A physical
geographer who wants to know how flooding affects soil texture can pour water onto
plots of land to his heart's content. A human geographer interested in the effect of
flooding on rural communities will scarcely
be popular if he opens the dikes to study
the results.
Moreover, real-world geographical situations, especially those involving people,
usually comprise a complex series of influences, each interacting with the others. To
explain this in relatively simple terms, to
show how changing one variable in a given
system can have repercussions throughout
the system, is difficult when one cannot
demonstrate the actual processes at work.
To overcome this, geographers have increasingly turned to mathematics to provide
models of the real world with which they
can experiment. Some of these models are
complicated, requiring computers to work
them out. Others are much simpler, but
not necessarily less illuminating for that.
As an example, consider the problem of
demonstrating the relationship between agricultural land, farming techniques and village size in primitive economies. What
limits the size of a simple agricultural
village? What happens if population grows,
if new methods are introduced, if the
climate changes? Anyone can see that
population is likely to be higher on good
land worked with advanced techniques; but
how much higher? A simple model can
help answer these questions by showing

how the various physical and cultural features interrelate.
Consider a simple, permanent agricultural
village, operating as a closed system (i.e. no
food is brought in from outside and none is
sent elsewhere, the usual situation in undeveloped economies where local selfsufficiency is the rule. Assume, for convenience, that the villagers are entirely
dependent on crop production for food.
How big can that village grow?
First, we have to consider how much
land the vi II age has cM:1ilable. Even if it is
the only settlement for a long way around,
it cannot grow crops al I over that area. The
farmer has to walk out to his fields in the
morning, perform a full day's work, and
return at night to the village. If his land is
too far away he will be spending too much
precious daylight in travelling. In many
societies (for example, among the lnqians
of North America before European colonisation) inter-village raiding was common,
and field labourers were reluctant to work
far from the stockade especially when
cultivation was performed by the women.
We can say, therefore, that the territory
available to a village is roughly circular,
with the radius a reasonable walking
distance ( D) from the settlement and an
area 11'D 2.
However, not all of this area will be
suitable for agriculture. Parts may be too
wet, other parts too dry. Some sections
may be excessively stony, or too steep, or
kept under trees for firewood. Part will be
occupied by the village itself. We must
therefore introduce the term U for usable
fraction, such that if three-quarters of the
territory is usable then U = 0.75. The actual
cultivable area thus becomes (,rU 2 ) (U).
But under primitive conditions this area
cannot be cultivated permanently. Simple
agriculturalists are rarely familiar with the
use of fertilisers or crop-rotation. Their
practice is to grow crops on the same patch
of land until, after a year or two or three,
the soil is exhausted of its useful minerals
and nutriments and the farmers have to go

�24.
on to another patch, leaving the first to
rest and slowly rebuild its fertility. In time
they can come back and cultivate it once
more. Thus we have to introduce another
factor, R, which stands for rotation, or the
fraction of the total time that a given piece
of land can be cultivated. Thus, if any one
patch of land can be cultivated for one
year in ten, or five years in fifty, then
R = 0.1. The total possible area actually
under crops in any one year is therefore
(1'D 2 } (U} (R).
To determine potential population we
then need to know how much land is
needed to support one person or, more
conveniently, one family (it is easier to
estimate the number of families in a village
from the number of houses than to discover the average size of each family}. If
we call the area under crops necessary to
feed one family At, then the maximum
possible population for the village (remembering that no other food supply is available} is clearly the total possible area under
crops in any one year, (,1'0 2 ) (U) (R), divided by the area needed for each family,
At. Denoting maximum population (in
families) by Pt we can then express our
model as
(i)
At

This simple little formula then enables us
to see how these factors interract with
village size. Take, for example, a settlement
where the maximum distance a farmer is
prepared to walk to his fields is 2 km. (1¼
miles), where half the land is usable for
agriculture, where crops are grown on each
patch one year in ten and 2 ha. (5 c1cres}
are needed to support one family: all
reasonable figures. In that case
p
=
{712 2 ) (0.5) (0.1)
= 31,;4 (ii)
t

0.02

The village could thus grow to a little over
30 families. (Note that the denominator
has to be written as 0.02 square kilometers,
rather than 2 hectares, to be in the same
unit as D2. Try working that out with
miles and acres and you become an instant
convert to metrication).
The importance of travel-to-work can
easily be illustrated. If the villagers become
reluctant to move more than 1 km. from
their homes, owing to frequent raids, hungry tigers or laziness, then the formula
reads

Pt

=

(?f12) (0.5) (0.1) = 7.85
0.02

(iii)

Halving the distance travel led thus reduces
village size to less than 8 families. On the
other hand, if the villagers in (ii) begin to
use some fertiliser they may be able to
cultivate their patches twice as long before
moving on. This will increase R, and the
formula will read
p
= ~22) (0.5) (0.2) = 62 8
(iv)
t

0.02

•

allowing a doubling of population.
Alternatively, we can look at it another
way and ask what happens to the vii lage in
(ii} if the population increases beyond 31
families? Obviously, if Pt&gt; 31.4 then At
must · be reduced, giving • everyone less to
eat; or R must be increased, giving the soil
insufficient time to recover and leading to
disastrous soil exhaustion; or U or D must
be increased, which may not be possible.
Faced with population growth, therefore,
village (ii) must starve, change its ways, or
send the surplus population off to start a
new village.
We can use this model to observe other
factors than population. Take, in this instance, a village of 35 families, accustomed
to travelling up to 1.75 km. to their fields,
using three-fifths of the land and resting
each patch seven years for each year of
cultivation. How much land is available for
each farmer? We know from (i} that
(?1'1.752) (0.6) (0.125) =
(v)
35
At
Therefore
•
At = (11'1.752)(~:)(0.125) = 0.0206km2(vi)
or fractionally over 2 hectares.
Further sophistication could be introduced. At could be varied to include food
produced from pastoralism, which would
probably involve modification of D,
(people usually being willing to travel further to their stock than to their crops), of
U, (land unsuitable for cropping may be
grazed}, and of R, (pasture needing a
different resting cycle). If a number of
villages occupy an area and claim all the
land, then the territory of each may be
calculated without reference to ,rD 2 , and
so on.
The model is clearly too simple to be
applied directly for research on the real
world; it gives only potential and not
actual populations. It can, however, be
(continued page 35)

�QUALITY or

UANTITY: the

by: Dr. Paul Barclay-Estrup
Lakehead University, Thunder Bay.
(from an address given to the Calgary Teachers Convention in February 1974.)

Ten years ago, when someone said that
our society and possibly our planet was
heading for a serious crisis, the warning was
either ignored or judged alarmist by most
people. Five years ago, a similar pronouncement was taken into consideration, at least
by more thoughtful people, but today
perhaps . even a majority of people are
considering a crisis as a real prospect.
Considering is the key word here, because
far from a majority yet believe that there is
a serious crisis; even fewer are proposing
solutions, and virtually no preventative
action is being taken. We are faced with a
refusal of consciousness. Many intelligent
people still pretend that "nine to five" is
the real world, and that talk of disaster is a
fad or fashion, idle chatter, the invention
of TV, a communist plot, or a plot of
vested interests.
It is possible that the doom and gloom
statistics are al I misleading, and some very
qualified people are of this opinion. The
doomsters draw Ii nes on graphs and extend
them into the future, a method which has
produced some really frightening predictions. For example, if the present birth rate
continues, by the year 6084 solid waves of
people will be expanding away from earth
into the universe at the speed of light.
It's true that doomsters have sometimes
been proven wrong. One sceptic in Britain
has pointed out that if the use of horses
had continued to increase in Britain as
much after 1870 as it did between 1800
and 1870, then by 1970 the entire surface
of the earth would have been six feet deep
in horse manure.
But sceptics aside, many people, especially professional ecologists, are firmly convinced that there is a potential catastrophe
both for mankind and for most life on this
planet, if changes are not instituted soon.

■ oder■

dile

25.

a

The root cause of this impending catastrophe is easy enough to identify: Too
Many People. Too Many People, in Too
Little Space, with Too Few Resources.
What is the present status of the world's
population? This year, 1974, is World
Population Year. At last, the United Nations has officially recognized that there is
a population problem. "74 in '74" could
be the slogan, for at the end of this year
there will be 74 million more people than
there were in the begining of the year.
That's over 200,000 more people each day
of the year. China now has over
800,000,000 people and India almost
600,000,000, and half of this large number
are children under 18. In 1975 the population of the earth will be four billion.
When I graduated from high school in
1948, it was considerably less than three
billion.
If the present rate of growth continues,
by the year 2074 there will be 30 billion
people. If somehow we could immediately
reduce the increase to replacement level
(two children per family), there would still
be over six billion people by 2050. If
somehow we could limit families to only
one child, it would take another 30 years
before the population of the earth would
stop increasing!
Malthus made two predictions: one, that
there would be world over-population, and
two, that this would be followed by mass
deaths by starvation. His first prediction
has come true. We must do everything we
can to ensure that the second prediction
does not come true as wel I.
What can we do? The answer is simple
enough: first, we stop the growth, and
then we reduce the population to a level
that can be maintained at a high standard
of living and contentment without removing the capital resources of this planet.
The trouble with simple solutions is that
they tend to be full of unknown variables.
Is man a truly reasoning being, or is he

�26.
primarily controlled by basic biological
instincts and reactions? What sort of situation makes man content? What is a "reasonable" standard of living?
There is no way in which the present
world population of almost four billion can
be brought even close to present Canadian
living standards. Each Canadian uses over
20 times as much total resources per year
as an average citizen of India. We use 30
times as much sugar and over 50 times as
much energy. It is not the poor, but the
rich of this world who are threatening the
survival of Spaceship Earth.
So population must be reduced to a size
which will suit the resources of our planet.
What size is that? We do not know. This
question must be answered by agriculturalists, foresters, geographers and ecologists. A
worldwide study of resources and consumption trends is urgently required.
(Some population proposals have already
been made by ecologists. One estimate for
maximum population in the U.S. is 30 to
50 million - less than ¼ of the present
U.S. population - which if extended to
Canada would mean a maximum of three
to five million in this country!)
What happens if we continue uninterrupted growth? We luckier people in the
"have" countries may be able to develop
some kind of huge multi-storied cities.
Perhaps our technology will provide space
and food. What might the future .hold,
then, for us?
Food for us looks O.K., at least in
quantity. Canada, New Zea1and, Australia
and Argentina are the last net food exporting countries (although in 1969, for the
first time, low grain exports meant that
even we in Canada imported more food in
dollars than we exported). In Canada, we
produce enough food to feed about 50
million people. So we have enough quantity for perhaps the next 50 years - assuming of course that other people who are
in short supply don't take it away from us.

Quality? It doesn't look quite so good.
Meat and fish supplies will continue to
decrease, and prices will keep on rising.
Many imported luxury foods will become
scarce or very expensive as populations in
tropical areas increase. For example, coffee,
tea, spices, tropical fruit and even tomatoes
are threatened. (Did you know that
Canadians drink three times as much tea
per capita as Americans, and that we
import more fresh tomatoes per capita than
any other nation? All tea and most tomatoes are imported.)
We may or may not like the North
American car-culture, but we must live
with it, anyway. A change in life-style here
looks inevitable: smaller cars, fewer long
trips, fewer week-ends away from the city,
slower transport and more traffic problems.
What about interpersonal relationships?
As people move frequently, from country
to city or from city to city, many relationships are strained or broken. The result is
galloping social instability and an alarming
increase in, for example, the number of
runaway children: 600,000 in the U.S. in
1973. The Canadian rate is likely to be
substantially lower (perhaps 30,000), but
still significant. In 1968, divorce rates in
Canada were 60 per 100,000 of population
and 300 per 100,000 in the U.S. Will we
duplicate the U.S. rate, now five times our
own, in the future?
At levels less basic than the family level
work, social, school levels - antagonism
and stress are commonplace. Hierarchies
and social systems are made unstable by
deliberate policies of transferring individuals. Status and position are frequently
ephemeral and insecure, driving the individual to greater efforts to achieve them.
There are plenty of other products of
unrestricted growth - air pollution, lead,
cadmium and mercury poisoning, alcoholism, cancer, crime and drug rates, the
possibility of biological or nuclear war - to
worry about, too. And what about natural

�27.

plant and animal communities? Hundreds
of bird and mammal species are in danger
of extinction. Whole ecosystems the world
over are being threatened. It is quite
certain that the destruction of plant systems alone will result in the extinction of
at least 10,000 species in the next 20 to 30 •
years.
Who cares? Many people are concerned
about the deteriorating quality of our lives,
but too often they are not our leading
politicians. Politicians did not arouse the
world to the population and environmental
crisis, and if left to themselves, they will
not generate the .necessary action.
It is up to you, the individual citizen.
Write letters to your M.P. and M. L.A.
Attend political meetings; organize all-party
symposia with the aim of getting individual
politicians to take a definite stand. Withdraw support from a politician who goes
back on his word on the issues involved.
Form a non-partisan pressure group -'
people interested in environmental quality
are not limited to any one party - and
take on one problem at a time. Try to
avoid confrontations and hardened posi-

tions that lead to useless deadlocks. Even
one or two persistent and dedicated individuals can be enough to bring and keep an
issue before the general public.
Most of our problems can be solved. We
can have both quantity and quality in our
lives - but only if the major problem of
over-population is treated. Treatment of
symptoms such as fuel shortages and pollution are otherwise meaningless and perhaps even detrimental in the long term.
If our government will institute a rational population program - and years are
involved - surely we will all do everything
we can to save our resources and try to
help those in great need. But I, for one,
wi II do very Httle to support stop-gap
policies that can only lead to greater
shortages and less quality in the future.
Without such a new trend we might as
well enjoy life to the full. Be daring: drive
an eight cylinder, 450 horsepower car. Heat
your house to 75 degrees. Burn your
Christmas lights 12 months of the year. In
the words of Paul Erhlich,

"If you are sailing on the Titanic, you
might as wen go first class."

SOLUTIONS TO PREVIOUS PUZZLES:

UNITS
THE AVIARY

�FLIERS, STINGERS AND BITERS

ACROSS
1. Groups of fliers, stingers and biters (6,8)
7. The family of 17 down is nothing if not
geometric (5)
9. The butterfly that commands a vessel (7)
10. A steady worker (6)
11. This wasp is not necessarily Australian,
mate (6)
13. A small arachnid associated with widows (4)
14. A glimpse is a chirp (4)
15. If all insects survived, they would swiftly
do this to our world (6)
18. A dull fellow, found somewhat disheveled in a laundry (6)
19. Ringlike (7)
21. A tiny primitive fly, larger than 13 (5)
22. Are these insects in Sergeant Pepper's
Company? (7,7)

DOWN
1. They are the epitome of biological control (9,5)
2. Glow worms and Fireflies do it (7)
3. Nobody could call them 5 down: they
14 down (4)
4. The leaf-cutters do this very neatly (6)
5. The grasshopper is typified (5)
6. Small flies that wou Id be usefu I to a
hostess before a party if they could
only spin what they purport to (6,8)
8. Probably the most revolting insect of
all (3,3)
12. A biter, distressing to cattle (6)
14. See 3 down (7)
16. This Indian antelope may be ailing (6)
17. A slow 7 across
20. Hark! If you listen carefully, you can
hear a Myrmeleon ! (4)
Puzzle by Professor John Hart,
Lakehead University, Thunder Bay

�Ill I NEED A CAlCU TOR IN UNIVERSITY?
by: Professor C. Kent,
Lakehead University, Thunder Bay.

This is a question more and more often
directed to university profs these days by
high school students, and also by students
already in university. The space-age spin-off
of micro-electronic circuits has placed high
capacity calculators within the economic
reach of a lot of people. Even students on
limited budgets can strain to afford them,
and the manufacturers haven't failed to
notice the possibilities in the student market.
In the Thunder Bay Sears the other
weekend, I was looking over the display of
chained-down and otherwise guarded calculators when a proud parent and universityage son arrived to buy a calculator to
replace the one he had bought the month
before. This month's model offered more
functions than last rnonth's. Herein lies a
trap. The price of these calculators has
been dropping rapidly or, put another way,
the capabilities of the calculators available
at a fixed price have been rising rapidly.
But, they are still expensive toys and
keeping up with the Jones' latest hand-held
calculator can be expensive.
I think the best answer br the university,
or university-bound student, thinking of
buying a calculator is that it is not necessary to have one to survive in university.
University professors try not to impose
arbitrary rules on their students, and they
don't prevent students who have calculators
from using them in class, but they try to
devise test and exam problems so that the
student with a calculator has no essential
advantage over his poorer cousin without
one.
Of course, if you are going to study
engineering, or applied science, there will
be a greater opportunity for you to use
and profit from your own calculator than
if you plan to study math, or physics. Even
so, the ready availability of the large scale
university computer to students, and the

29.

increasing occurrence of mini-computers offer more than adequate opportunity for
you to handle these big data processing
assignments. At Lakehead University more
and more of our first year students are
getting heavily involved with the university
computer and are learning, along the way,
much more useful programming skills than
how to punch the buttons on a 3x4 inch
keyboard.
The New Scientist of February 27, 1975,
contains a good article titled The electronic slide-rule comes of age". The economics of the manufacture and marketing
of the hand-held micro computers (or
calculators) is surveyed, along with a list of
the functions available in the various models. That article is well worth reading if
you are thinking about buying a calculator,
and can get your hands on New Scientist,
which is an English magazine. If you can't,
here are some highlights.
The Hewlett-Packard calculators are the
Cadillacs of the species. HP got an early
start and has kept ahead of the competition by offering increasingly sophisticated
and capable calculators. These range from
the (now old-fashioned) HP-21, at about
$200 through the super-Cadillac HP65
which sports 20 addressable registers, a 100
step programmable facility, magnetic tape
read-in and read-out, user definable keys,
and the sporty price of $800-$1000. Our
Department owns a HP65 but I notice that
it is used far less often than the much
simpler Texas Instrument SR50, selling for
about $200. Sears sells an instument virtually identical to the SR50, with full
transcendental function complement, for a
little under $100 when you catch a sale.
The New Scientist says that hand-held
programmable calculators not unlike the
super Cadillac HP65 will appear on the
market in mid-1975 for a little over $200.
This is typical of the fierce competition
now going on to capture the market,
especially the student market.
0

�30.
As a guide for potential purchasers, New
Scientist give a table of the expected costs
of the various functions that can be purchased in a 'hand-held', as follows:
Functions
Price
+, -, X, +
$20
1~
5
x2
5

rx

sin, cos, tan/Arc
Hyperbolic
Memo~
Ln x/ex
Logx/10x
xY

x!
Degrees/Radians
1r

s
20
12
12
10
7
12
5
2.50
2.50

The typical cost breakdown for manufacturing and marketing a calculator selling for
$84 is interesting:
Integrated circuit ................. 8.50
Semiconductors .................. 1.20
Display ......................... 3.20
Keyboard ....................... 2.40
Case ............................ .50
Misc............................. .50
Rechargable battery ............... 3.20
Charger/A.C. adaptor .............. 2.50
Total parts cost ...........-.... 22.00
Labour ....................... 2.00
Manufacturing cost ............ 24.00
Overhead, marketing cost, man. profit36.00
Factory selling price ........... 60.00
Retai I markup .................. 24.00
Recommended retail price ....... 84.00
The same issue of New Scientist contains
ads for the Texas Instrument SR50 ranging
in price from $165 (from a "Discount
House" in King's Cross, London) to just
over $200. It would appear that these
calculators can be had for about 20% off
suggested retail price, if you know where
to look. (Our Department recently bought
SR50's for $150 from a Toronto firm).
There is apparently still no wholesale
"dumping" of the moderately sophisticated

scientific type calculators on the market,
but the simplest types have recently dropped into the $20 range, and a qreak in
price of the others may not be far off.
One thing I find disturbingly missing in
the published information about the handheld calculators is information about their
reliability and durability. An engineer
friend recently told me that, if one of these
baubles goes awry, forget it. His feeling is
that it would cost more to repair than to
replace. If his appraisal is correct, and the
lifetime doesn't exceed the guarantee period
(usually a year from a reliable vendor) then
keeping yourself in calculators could be an
expensive business. Another consideration
for the Northwestern Ontarians could be the
"down time" to send a calculator away for
repairs if it goes bust, even in_the guarantee
period. I have been told that Sears' policy
is simply to hand you a new calculator if
something goes wrong during their guarantee period. That could be worth investigating but I wonder how often they go
through the exercise on essentially new
calculators.
All in all, your own hand-held calculator
really isn't necessary in university, although
it can be helpful in professional programs
like engineering, or in upper year courses
like statistics. Even in a program where a
calculator would be handy, it probably
isn't really too useful in the first year. It
may be later, but the way prices are
dropping and in view of the very limited
experience people have had with their
durability, I think my $200 will stay in the
bank for a while yet.
If, and when, you do decide to buy your
own calculator you will face the decision
on how much complexity to buy. The
price very directly reflects the complexity
and little else. New Scientist suggest that
the cost premium you should be willing to
pay for a "big name" manufacturer is not
over $25, while you can see from the
figures above that $25 is the cost of a very
few additional functions.
Your planned use of the calculator dictates the complexity and price. If you are

�31.

going to use the device only for simple
arithmetic of the balance sheet variety, you
can get by with a $20 calculator with +, x,
, +. The number of digits on the display
should probably be greater than six, but
ten is an extravagance. Eight should do
nicely. "Floating point" decimal presentation is also unnecessary for simple
arithmetic.
The next step up in complexity which
will be usable will surely include a memory
(one register will do) and "floating point".
This extra capacity will allow you to cope
with most of the calculations in statistics.
Squaring, square-root and reciprocal keys
would be convenient at this stage but are
not really necessary. With a memory register there are simple "algorithms" in the user
manuals which allow you to do your own
thing with square-roots, cube-roots, etc. The
increasing cost of dry cell batteries makes a
rechargable calculator battery a wise investment if you intend to make much use of
your hand-held. You should easily get one
of these calculators for $50-60.
Only if you seriously intend to be an
engineer, chemist, experimental physicist or
econometrician would one of the "electronic slide rule" types with full scientific
notation and transcendental functions be
likely to be useful. The SR50, or comparable Sears or Eaton's models retail here
for $100-$200.

SETT

ES

by: Dr. L.K. Roy,
Lakehead University, Thunder Bay.

The final step up to a programmable job,
like the HP55/65, or comparable 'cheapies'
to appear, is probably justified only for the
serious practicing scientist or engineer.
Some upper year students of these disciplines could find them useful, but only if
they are "computer nuts" who develop
their own procedures and programs for
doing often repeated problems, or simply
like to experiment with the procedures
themselves. Here, however, these students
are much better advised to use a mImcomputer or large scale digital, and really
get their teeth into a problem.
It may be strange to hear, but a math
major in university probably will have less
use for a hand-held calculator than almost
any other type of student except history
majors.
Finally, a personal prejudice or two.
Special purpose calculators, for converting
Fahrenheit to Celsius, or Acres to Hectares,
are close to useless for the average human
being. Unless you plan a career in the
weights and measures business converting
into and out of metric sizes, save your
money. Even a percent key on an otherwise standard calculator is silly. If you
can't multiply by 100 you've got no
business having that thing in your hand in
the first place.

AT

E

E BET

1. The Gold Coin Gambit
Three boxes, identical in appearance, are

There may not be a sucker born every
minute but many people still find plenty of
opportunity to lose money on what seems
to be a fair bet. In the following examples
bets are proposed by a smooth operator
(cal I him the Artist) and accepted by a
person who tricks himself into believing the
bet is a fair one (call him the Mark).

placed on a table. One contains 2 gold
coins, another contains 2 silver coins, and
the last contains one silver coin and one
gold coin.
Two
Gold
Coins

Two
Silver
Coins

One Gold
One
Silver

�32.
A neutral person selects a box at random, opens it, and draws one coin from it.
Suppose a gold coin was drawn. The Artist
makes the following bet with the Mark: "I
bet you even money that the other coin in
the box is also gold."
The Mark thinks to himself: "The other
coin could either be silver or gold. Also, it
is obvious that this box is not the box with
the 2 silver coins. So this box has an equal
chance of either being the box with 2 gold
coins or the box with one silver coin and
one gold." He concludes that the bet is a
fair one.
In fact there are two chances in three
that the box being considered is the one
with the two gold coins! Think of it this
way: if the box is the one with a silver
coin and a gold coin, there is one chance in
two of drawing a gold coin. There are two
chances in two of drawing a gold coin from
the box with the two gold coins. So once
we have the information that a gold coin
was indeed drawn, the box with the two
gold coins becomes twice as probable as
the box with one silver and one gold coin.

2. The Birthday Booby-Trap
The Artist and the Mark attend a party
at which a total of 40 people are present.
The Artist bets that at least two people in
the room will have the same birthday.
The Mark happily accepts the bet since
there are only 40 people in the room and
365 possible birthdays.
Actually, the odds are not at all in the
Mark's favour. Pick one person and determine his birthday. The next person selected
has 364 other choices of birthday, so the
probability that the two do not have the
same birthday is 364/365. The third person
selected still has 363 other choices of
birthday so that the probability of the
three having different birthdays is 364/365
times 363/365. For the forty people, the
probability of none having the same birthday is a product of 39 fractions
(364) (363) (362) ... (326) = 0.109
365 365 365
365

So the Mark has about one chance in 10
of winning. In fact the breakeven point
occurs when there are only 23 people
present in which case the Mark's probability of winning is 0.493.
3.. The Odd-Numbered Dice
The Artist presents the Mark with 4
dice.

Blue

l9m9l91

Green

13131111

White

Red

The Mark is invited to choose any one of
the 4 dice, after which the Artist will
choose one of the remaining 3 dice. Both
persons will roll their dice and the person
who rolls the highest number will win.
The Mark thinks to himself: "Obviously
one of these dice is a better choice than
the others. As soon as I determine which it
is, I will begin to make some money."
Suppose the Mark chooses the red die
since it has the highest number (13). The
Artist would choose the green die and
would have probability 2/3 of winning.
Green

7
5
5
5
Red
5
13
13

7

7

7

7

7

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

--

---

--

---

--

--

--

--

In the above table an X indicates a win
for the Artist. Of the 36 possible combinations of green-red values, the Artist
wins 24 of them.
After losing for a while the Mark may
switch to the green die. As soon as he
does, the Artist picks the blue die.

�33.
Blue

1
7
7
7
Green 7
7
7

1

--

---

--

--

--

AN ANALYSIS OF THE GAME OF KENO

9

9

9

9

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

Again, 24 of 36 possible blue-green combinations mean a win for the Artist
When the Mark switches to blue, the
Artist switches to white.
White

3

Blue

1
1
9
9
9
9

3

3 11 11 11

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

X

-----

Again, 24 of 36 white-blue combinations
favour the Artist.
The Mark begins to reason as follows:
"White beats blue, blue beats green, green
beats red. So white beats everything. I'll
choose white and eventually I 'II make a
fortune." The Artist chooses red.
Red

3
3
3
White
11
11
11

5

X

.x

X

X

X

X

X

X

X

X

X

X

X

X

--

--

----

X

X

X

X

X

X

--

--

--

The game of Keno is played in Las
Vegas as follows:
The player chooses 8 of the numbers 1
through 80. Then 20 numbers are drawn at
random from the number 1 through 80. If
among these 20 numbers the player has
chosen 5, 6, 7 or 8 correctly he wins $5,
$50, $1,100, $12,500 respectively. The
player pays $1 to play.

0
~ ~ , ways of ran20
0
domly choosing the 20 numbers. There are
There are{

{~)=

~! ~~-x)

matching

)=

p{x&gt;

---

,),(

Again, 24 of 36 red-white combinations
mean a loss for the Mark.
The Mark's mistake is in choosing which
die he wants to use first. Once the Mark
has chosen, the Artist can make his choice
so that he will win 2 tosses out of 3.

ways

of

x

of

these 20

8 selections and

player's

_

(~X 2l~)

- (~g)

Thus the probability of winning $5 is

5 13 13

:,X ,,'•X,'-,X

the

) =

721
ways of the re( 72-x
{20-x) ! (52+x) !
20
maining (20-x) numbers not matching. So
the probability of x matching numbers is

p(5)

5

--

5

by: Dr. l.K. Roy,
Lakehead University, Thunder Bay.

-- (:)(;~)
l )

= .01s3

of winning $50 is

p{6)

(:)(~~)
= ( ~g)

=.0024

of winning $1,100 is
p{7)

=

mm)

=.00016

(~g)

and of winning $12,500 is
p{8)

=

men
(~g)

= 000004

•

The expected winnings of a player, each
time he plays is
5 p(5) + 50 p(6) + 1100 p(7) + 1250 p(8)
= 5(.0183) + 50(.0024) + 1100(.00016)
+ 12500(.000004)
0.4375 dollars.

�34_

IS THE MIND A MATERIAL OBJECT?
---·------ ~- -

--

OR WHY DOES GLASS SHATTER?
by: Dr. J. Douglas Rabb,
lakehead University, Thunder Bay.

Can dispositions be causes? This rather
obscure question is, I believe, one of the
most important unresolved issues in con-

temporary philosophy. Not only does the
truth of two radically different accounts of
mind and/or mental events depend on the
answer to this question; but this problem is
also at the basis of two quite different
views of the nature of scientific explanation.
The two accounts of mind are represented on the one hand by Gilbert Ryle's
behaviouristic analysis in The Concept of
Mind and on the other hand by D.M.
Armstrong's central-state materialism as
presented in A Materialist Theory of Mind.
The behaviourist claims that words which
seem to refer to so cal led mental events do
not in fact, refer to events at all. Rather
they signify that the organism is liable or
disposed to display certain sorts of behaviour. So, for example, to believe that it
is raining is not to entertain the thought
that it is raining, it is simply to have a
tendency to wear a coat if one goes out, to
have no inclination to wash the car or
water the garden, to be disposed to answer
in the affirmative if asked if it is raining and so forth. The central state materialist
on the other hand does not deny that there
may wel I be events which we describe as
mental. However, the materialist claims
that these events are, in actual fact, events
occuring in the brain or central nervous
system. The materialist would argue against
the behaviourist that there must be a state
of the central nervous system which causes
the organism to be disposed to behave in
the way it does.
Ryle, the behaviourist, seems to hold a
Phenomenalist or Operationalist position
concerning scientific explanation whereas
Armstrong is a proclaimed Realist. For
example, Ryle states that:

When we describe glass as brittle or sugar as
soluble, we are using dispositional concepts, the
logical force of which is this. The brittleness of
glass does not consist in the fact that it is at a
given moment actually being shivered. It may be
brittle without ever being shivered. To say that it
is brittle is to say that if it ever is, or ever had
been struck or strained, it would fly, or would
have flown into fragments. To say that sugar is
soluble is to say that it would dissolve, or would
have dissolved if immersed in water. 1

On the other hand Armstrong argues that:
. . . in asserting that a certain piece of glass is
brittle, for instance, we are ipso facto asserting
that it is in a certain non-dispositional state which
disposes it to shatter and fly apart in a wide
variety of circumstances. . ..
The Realist view gains some support from ordinary
language, where we often seem to identify a
disposition and its 'categorical basis'. ('It has been
found that brittleness is a certain sort of molecular
pattern in the material. ')2

Withc-_crucial issues in both the Philosophy of Mind and the Philosophy of
Science hanging in the balance, it is little
wonder that the question 'Can dispositions
be causes?' has generated such vigorous
debate. 3
In this paper I wish to propose a
compromise which, I hope, will be acceptable to both sides of this important dispute. I begin with the following illustration.

An Enlightening Crash
Suppose I raise my glass of wine and
propose a toast to Professors Armstrong,
Ryle and their respective followers in appreciation of their valiant efforts to settle
this important question. Suppose further
that, as is the custom in proposing such
toasts, after downing the wine I throw the
glass with considerable force into the fireplace and the glass, as is its custom,
shatters.
This very brief story allows me to
generate a seri~s of question which, I hope,
will be illuminating. The first question is:
01 Why did the glass break (shatter)?

�35.
The most obvious and
answer to question 0 1 is:

straight-forward

A 1 Because it hit the hearth with considerable force.

Answer A 1 , however, generates two further
sorts of questions which I will class with
obvious bias, as interesting and uninteresting. To state the uninteresting one first:
U02 Why did the glass hit the hearth
with considerable force?

It should be noted, of course, that U02 is
only uninteresting considering our present
purposes. It might well, in other contexts,
lead to some very interesting questions in
the Philosophy of Action as well as to
some intriguing sociological and psychological ones about certain drinking habits.
Note also that the subscript '2' in these
questions is intended only to indicate that
they are in response to the answer to a
previous question, viz., '0 1 '. The interesting question raised by A 1 is this:
I02 Why did the glass break when it hit
the hearth with considerable force?

The straight-forward answer to question
102 is simply:
A 2 Because it is fragile (brittle).

However, answer A 2 also generates two
further kinds of questions which I shall
again class as interesting and uninteresting.
First the uninteresting question:

The sense in which 103 is a different
question from U0 3 , and the sense in which
I interpret it, is that in which it is a
conceptual question. In most cases it would
only be asked by someone who did not
know the meaning of the English words
"brittle" and "fragile". The Oxford English
Dictionary defines "brittle", for example,
as "liable to break'', and once this definition has been understood, question 103
has been answered and rendered pointless.
Note that answering 103 does not., of
course, render U03 pointless. It should be
equally obvious that no answer to U03
could possibly serve as an adequate answer
to 103 .
In conclusion it should be noted that we
may wel I be tempted to raise question I 03
in response to some of the more technical
answers to U03 . However such a temptation should not be surprising for as has
been wisely observed:
The theoretically interesting category-mistakes are
made by people who are perfectly competent to
apply concepts, at least in situations with which
they are familiar, but are still liable in their
abstract thinking to allocate those concepts to
logical types to which they do not belong. 4
Footnotes

1. G. Ryle, The Concept of Mind, (London, 1949),
p.43

UQ3 Why is it fragile? or What makes it
fragile?

2. O.M. Armstrong, A Materialist Theory of Mind,
(London, 1968), p.86.

Question U0 3 is a question for the physicist and any answer to it would likely
make reference to the molecular pattern of
the glass etc., as Armstrong has noted in
the quotation cited above. However the
philosophically significant question raised
by answer A 2 is of quite a different sort:

3. See for example: R. Squires, "Are Dispositions
Causes?", Analysis, Dec., 1968. D.M. Armstrong,
"Dispositions Are Causes", Analysis, Oct., 1969.
R. Squires, "Are Dispositions Lost Causes?"
Analysis, Oct., 1970.

IQ3 Yes I know it was brittle but why
did it break when it hit the hearth with
considerable force?
or
Why do fragile things shatter when hit with
considerable force?

Admittedly one way of interpreting question 103 is simply as an oblique way of
asking U0 3 . But such an interpretation
would be neither interesting nor instructive.

4. Op. cit. The Concept of Mind, p. 17.

HOW MANY VILLAGERS? ..... (from p. 24)
used as a check on improbable claims for
village sizes or food production, past or
present. Best of all, it is a useful teaching
device, showing clearly and simply the
interrelatedness of the physical environment, human skills and population.

�36.

by: Dr. Brian A.M. Phillips
lakehead University, Thunder Bay.

Somewhere between the ti me of the
historic voyages of discovery and the present, it has become firmly fixed in people's
minds that Geography is al I about longest
rivers and highest mountains, and that
geographers spend their time colouring-in
maps. There is often a grain of truth in the
most distorted views, and in the process of
persuing their long claimed interest in
spatial correlations of criteria of, on, or
above the earth's surface Geographers frequently use a variety of forms of visual
display, collectively termed 'maps'.
Cartography is considered by most to be
the science of the preparation of all types
of maps, plans, charts and statistical dia-

grams. In its widest definition this would
include every operation from the initial
surveying to the design drafting and final
printing. However, a more limited viewpoint tends to focus attention on the maps
themselves, and examines them as useful
devices for the display, comparison and
analysis of spatially disposed data of all
kinds. Any data which are arranged in
space can be mapped whether they be
'solid' visible data such as elevation or
population, or whether they be less tangible data, such as recreation potential or
mental distance. Despite an enthusiastic but
unfortunate student who once concluded
an essay on the use of maps by stating that
0

The Geographer has been blessed with a
mighty tool which he should learn to use to
its fullest extent", it is not only geographers who use maps, but also any persons
whose interests involve spatial relationships.
A biologist may map a single cell; an
engineer may map the stress in a length of
steel, a sociologist may map the pattern of
crime in a city; a novelist may map the
imaginary land in which his characters
move. So what are maps?

One way of considering maps is to think
of them as 'thematic' (an adjective derived
from the noun "theme") displays. Whereas
a conventional air photograph faithfully
records every object visible within the field
of view of the camera without selection, a
map portrays a selection of criteria. As
such it is emphasizing some criteria to the
exclusion of others, and is therefore 'thematic'. Furthermore, within the scales in
which maps are commonly drafted and
reproduced, it is often not feasible to map
every single item of a selected criterion. If
one had the task of mapping individual
political affiliation in a residential area, one
would seek a representative sample of
households from which to obtain data.
Hence, a map is not only thematic, but is a
visual
transformation (by cartographic
methods) of data which are a subset of the
possible available data. Similarly, a map is
itself a subset of a set or 'Supermap',
which is all that can possibly be mapped.
While the map portrays data in pictorial
form it serves, in effect, as a storage device
for those data. Hence agricultural statistics
may be stored both as tabulated figures
and as a series of thematic maps. Since, in
very many cases, the data sample is temporal, that i_s, representative of one moment in time, the map also serves the
function of an historical document. Indeed,
unless the delay between data collection
and map production is very small, the very
first copy of a new map may stil I be an
'historical document' if the criteria with
which it is concerned are dynamic. A map
of occupied dwellings in an urban area may
only represent the real situation for less
than a day. While this may seem to be a
negative element, advantages are derived
from the sequential nature of many maps.
A series of maps of the distribution of the
same criteria in the same area at specific
points in time may be examined in sequence. The historical nature of each map

�37.
is the basis of comparative analysis, and the
changing pattern of the dynamic variables
can be discerned. A most dramatic visual
display of urban growth may be obtained
by examining a sequence of maps of five
year intervals and filming each for a few
seconds in turn. The resulting short film
will demonstrate the 'amoeboid' growth of
suburbia in a manner greatly more appealing and effective than the examination of
tables of population or housing statistics. A
map may serve as a data-storage device, as
an historical document and as a part of a
sequential series. To retrieve those data
requires a further transformation, that of
map interpretation.

Map interpretation might be described as
an art, an ability gained by experience
rather than by learning alone. However,
though a map interpreter may be highly
skilled, data will only be retrieved from a
map if that map clearly and unambiguously
portrays that which is intended. The premap decisions to be made by a cartographer are many and difficult, for they require
a truly interdisciplinary understanding. Not
only must he fully appreciate the business
of mapping, but he must fully understand
the spatial processes governing the criteria
that are to be mapped, and the manner by
which a map reader gains information from
a map. Ideally, a well designed map will
transfer to the interpreter all the data put
into it, and also generate fresh ideas. Such
a map is said to have a high 'map transfer
function'. Problems often arise in the matter of map design. However attractivelooking and skilfully-drawn is a map, unless
it rapidly and unambiguously transmits its
data at an equivalent or greater rate than
the initial form of the raw data would have
done, its function is utterly lost. Our texts
and news media are full of pretty maps
which are far more difficult to understand
than the original raw data which they
purport to represent visually.
Designing maps involves an understanding of some psychophysical phenomena,
and also involves one with the limitations

of cartographic language. For example, on
this page the writer can control the order in
which bits of information are transmitted
to the reader, since it is known that the
symbols used (the groups of letters or
words) will be read in a particular and
continuous manner (i.e. left to right, top to
bottom in Canada). However, the map
designer has very little control on the order
in which the cartographic language (point,
line and area symbols) will be read, since
one cannot foretell at which point within
the map boundary the reader will look
first, nor which point might be viewed
next, and so on.
The human eye scans a visual display in
a series of foveal fixations. During any one
fixation the brain receives data from the
central part of the field of view (the fovea)
which it appears to concentrate upon, but
it also simultaneously receives data from
the remaining part of the field of view (the
extra-foveal area). Thus, a single item of
information may be observed only once
foveal ly, but may be reinforced extrafoveally several times during adjacent fixations. While ttie eye is capable of receivin_g
about three million bits of information a
second, the brain can only account consciously for about sixteen bits per second.
Our brains perform the incredible task of
data reduction. The efficiency with which
this task is achieved is governed partly by
the ability to class data and to link them
to familiar knowledge, or by the ability to
reject and ignore them. These processes
take time, and depend ultimately upon the
perceptual ability of the observer.
The processes of visual search are the
subject of much research, but the application of such research to map design has
only recently been recognized. For example, in tests in which subjects have been
asked to locate a specific target within a
display of a variety of unalike and similarlooking targets, the results indicate that
some commonly used map techniques are
ineffective. Results show, for example, that
search time is least when the target is
discriminated by colour, and greatest when

�38.
shape alone is the discriminating factor.
Hence, it is found easier to locate a red
target in a display of targets of several
colours than to locate a circle in a display
of targets of several shapes. It is also
discovered that it takes longer for the brain
to reject similar looking targets than to
reject unalike targets. Suppose a map has
one hundred and twenty black targets (e.g.
symbols) one of which was the target to be
located. Visual search time would be x
seconds (case A). To find the same target
in a display of sixty black targets predictably takes %x seconds (case 8). However,
to find the same black target in a display
of sixty red targets and sixty black targets
(case C) will be found to take more than
%x seconds, but considerably less than x
seconds, though the total number of targets
was the same as in case A. The reason for
this is that the brain rapidly rejects or
filters out the non targets (red) and less
rapidly matches and rejects the remaining
fifty-nine similar targets. In view of the
common use of differences in size and
shape of symbols on maps rather than
differences in colour, this type of research
could herald some radical changes in future
map design techniques. At this point it is
seen that "colouring-in maps" is a far too
simple view of the geographer's task. In the
words of one eminent cartographer
.,,Whoever has a knowledge of cartography is
convinced that it is more difficult to compile a
good map than it is to write a good book. In
the latter situation one does not need seriously to
torment himself with precision because where
ideas fail it is easy to shirk obstacles by the skilful
use of words."
Raisz - 1962.

Problems of map design are by no
means the only ones facing today's cartographer. We are in the midst of a quiet but
rapid cartographic revolution, largely because our ability to collect data has outstripped conventional methods of storing,
displaying, retrieving and analysing them.
The long standing conventional topographic map, often printed about two to
five years after initial survey and infrequently updated, is now simply insufficient
for the planner concerned with the rapidly

changing situation in our major population
areas. Quantities of data now being made
available to those responsible for planning
and managing our natural and urban environments can no longer be transformed
into visual form by manual drafting at a
rate sufficient to keep up with supply.
Furthermore, people are increasingly concerned both with more complex and less
directly derived data. Pre-map statistical
processing of large volumes of data is best
handled by computers, and the 1970's are
likely to be known as the decade of
computer mapping. Although the map
draftsman is by no means obsolete, anyone
claiming to be interested in dynamic patterns
of spatially arranged data now uses computer generated maps.
Experimental maps of many kinds are
now providing exciting and challenging new
approaches to mapping, and the changing
face of modern cartographic methods is so
rapid that it is hard for an individual to
keep pace with it. Discussion of specific
map types and map related problems would
be best reserved for further short papers.
Meanwhile,, where appropriate, the computer
may be given the task of colouring-in and
analysing some maps.

True or False?
genome: one complete set of chromosomes,
a chromosome complement. Ordinarily, a
gamete has one genome (is haploid), a
zygote has two (is diploid).
gnome: in folklore, a tiny subterranean
creature said to be guardian of hidden
treasures.
One letter does make a lot of difference!
Which of these are used synonymously, and
what is the preferable spelling: glycerine,
glycerol, glycine, glycinol, glycol, xylene,
xylol?

�If you have enjoyed reading Caret, please write to us.
If you have not enjoyed reading Caret, please write to us.
If you would like to contribute an article, please write to us.
If you have any suggestions for improvements, please write to us.

"CARET"
Lakehead University
Thunder Bay, Ontario
P7B

5E 1

�PLEAS

L

E

ABOUT FOR

OTHERS TO READ

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&#13;
Articles on a variety of topics:&#13;
Letters to the Editor&#13;
Scholarships&#13;
Pressing plants and studying the dried specimens&#13;
Dr. A N Hughe's time spent in Thailand to study chemistry&#13;
Asbestos contamination of Lake Superior&#13;
Organisms and adaptation&#13;
Metrication&#13;
Mathematical grography&#13;
Quality or quantity, study of too many people with too little space and resources and predictions for the future 2074&#13;
Calculators in university&#13;
Cartography&#13;
&#13;
Also contains photographs and crossword puzzles.</text>
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                    <text>LAKEHEAD

UNIVERSITY

SCIENCE REVIEW

~

VOLUME 1
I

,
I

1

NUMBER 4

.50 c

ts

�r t
A

EHEAD UNIVERSIT S IE

E E IE

incorporating

LAKEHEAD UNNERSITY MATHEMATICS GAZETTE
CONTENTS
VOLUME 1, NUMBER 4, January 1975

EDITOR
Dr. G. Harvais
Lakehead University

ASSOCIATE EDITOR
Professor B. Spenceley

COMPETITION-PRIZES! ... PRIZES!

3

ARE WE ALONE?

4

by Dr. Richard Reis

Lakehead University

THE TEACHING OF SCIENCE

EDITORIAL BOARD
Mr. G. Campbell,

9

by Roland Baird

Westgate Collegiate &amp; Vocational Institute,
Thunder Bay.

LOOKING AHEAD TO THE FUTURE
ENERGY FUELS

14

by Frank Jefferies and Ron Scammell

Mr. C. Gehrels,
Ontario Ministry of Education.

Mr. W. Lajoie,
Westgate Collegiate &amp; Vocational Institute,
Thunder Bay.

THE INTERNATIONAL CONGRESS
OF MATHEMATICIANS 1974

17

by Dr. P. Mah

SCIENCE FICTION OR SCIENCE FACT 19
by Professor J.S. Griffith

Mr. J. Palko,
Fort William Collegiate Institute,
Th under Bay.

OPEN UNIVERSITY MATHS

20

by Professor C.F. Kent

Mr. T. Reynolds,
Queen Elizabeth High School,
Sioux Lookout.

THROWING LIGHT ON THE PAST OF
CERAMICS AND BRONZES

24

by Dr. S.J. Fleming

Mr. W. Bilbrough,
Lakeview High School,
Thunder Bay.

THE BORA LASKIN SCHOLARSHIPS

28

CARET IS PUBLISHED BY THE FACULTY OF SCIENCE OF LAKEHEAD UNIVERSITY,
THUNDER BAY, ONTARIO, CANADA. P7B 5E1
Printing: LU. Printshop

Design: LU Media Services

THE VIEWS EXPRESSED IN CARET DO NOT NECESSARILY REFLECT THE OPINIONS OF THE
EDITOR, THE FACULTY OR THE UNIVERSITY.

OUR COVER was inspired from our article "Are we alone?" and was designed by B. Kaminski

�2.

SCIENCE P. 0G. .,, 'ME ,r LU
THE INTEGRATED SCIENCE PROGRAMME
FOR
SEMESTER SYSTEM STUDENTS

Lakehead is designing a new, and to us exciting, first year Science programme. It is
time-tabled to meet the special needs of semester students (February to May). The emphasis
is on the unity of Science rather than separate traditional subjects.
There are few other examples of such a programme, though much interest in this
approach has been shown recently. Science departments from across the province of Ontario
met and discussed such an integrated programme a few years ago, but no action was taken
until now. The Open University in Britain operates an integrated science course and we are
examining their films and programmed learning books.
Much of modern research involves tackling problems which may require knowledge of
everything from Physics to Biology. We feel that a course such as ours can produce better
scientists as well as a vigorous new approach to teaching Science. If you want to be an applied
scientist it's a good place to start too.
Looking forward to seeing you in February!

LETTERS TO THE EDITOR
July 23, 1974
In a recent publication of CARET (Vol. 1, No. 3)
appears an article "A Geological Traverse Across
Africa" by John S. Mothersill. On page 37 it states:
"In addition, a visit to Olduvai Gorge where Professor Leaky discovered the bones of Zinganthropus
and Homo erectus ... which many scientists believe
to be direct ancestors of man proved to be most
interesting. Work was still being carried out at 'the
dig' under the direction of Professor Leaky's widow."
I was under the impression Mrs. Leaky was responsible for the actual find as her husband lay ill in
the tent. I intend to undermine neither the valuable
work of the Late Professor Leaky nor the find itself
but feel credit should be given where credit is due.
One small step for Women's lib - One large step
for mankind.
Yours sincerely,
M. Susan McBride, Secretary
Thunder Bay, Ontario.
Dr. Mothersill's reply:
Mrs. Leaky, did in fact, physically unearth the
first bones of Homo erectus /eakii. However 'the
dig' was under the direction of Professor Leaky and
he supervised the 'construction' of this species. It is
not so much a matter of 'women's lib' but rather
the senior scientist receiving credit for a team effort.

November 21, 1974
We should like to express our appreciation of
Caret. It is a very valuable publication indeed. We
have found that articles have a very wide range of
interest and use within the school, not confined to
the science and mathematics departments, but including History (Archaeological dating, for example)
and English as well ... We look forward to further
issues ... We feel we cannot afford to miss Caret.
Sincerely,
M.S. Dunnell, Librarian
Thornlea Secondary School,
Thornhill, Ontario
I wish to thank you all for writing, and to follow
this by a brief note on p. 27.
- Editor.

NOTA BENE
Dr. A. D. Booth, President, Lakehead University,
has graciously accepted to review for caret a number of books on a variety of topics, in particular
Astronomy, Crystallography, Information Theory
and Photography.
Why not take advantage of this free offer for expert comments?
Send in your books or titles NOW.

�3.

I

I•

• • •

I

I
II

ETITI

A couple of years ago, we ran a compet1t1on to name "Caret". The response was
gratifying, we had an almost overwhelming number of excellent suggestions, and we always
promised ourselves that we would have another of the same as soon as we could build up an
adequate prize fund. Well, we now have a little cash put away, and we are going to spend it
on an essay competition.
The Faculty of Science of Lakehead University is establishing a new programme, called
"Energy and Fuel Science" (leading to a B.Sc. degree) which is sure to attract attention
from government and industry personnel officers. We want to couple our competition to
the new degree.
There have been torrents of words written about the energy crisis, but a dispassionate
observer would have to conclude that much of the material we see in the newspapers and
magazines is inadequate or inaccurate.
Perhaps you can do better! If you think so, we want to give you a chance to express
your views, and we will reward you handsomely for an essay on the subject. Why not
write one for us?
Your essay, which should run to about 3,000 words, may cover one of the following
topics:
1. Renewable or non-renewable energy resources?
2. Energy versus Environment.
3. Unusual energy sources.
4. Energy in Northwestern Ontario, present and future.
5. Is Canada habitable?
There will be two prizes, each covering the first instalment of tuition fees in the Faculty
of Science (but not necessarily in the Energy and Fuel Science programme). One prize will go
to an entrant from Northwestern Ontario, the other to somebody from outside the region.
There will be two consolation prizes of inscribed writing sets to the value of $20.00 each.
The competition is open to bona fide high school students, resident in Ontario. It is not
open to relatives of staff of the University. Each essay, which becomes the property of the
University, must be signed by an officer of the high school, certifying that it is the unassisted
work of a student in the school. The decision of the judges is final.
Essays may be neatly handwritten or typed by the student. Professionally typed essays
are not eligible. Do not forget to include your address.
And, the best two essays will be published in Caret.

CLOSING DATE 1 JUNE 1975

�4.

E

E

by: Dr. Richard Reis
Because our own fate as a species ultimately
depends on our willingness to recognize ourselves as
evolving creatures in an evolving environment, we
cannot afford to wait much longer before beginning
to listen seriously for clues to the whereabouts of
intelligent extraterrestrial civilizations, locate them,
and try to engage them in conversations ...
Committee on Science and Public Policy
National Academy of Sciences (U.S.)
1972

At a time of political unrest, population
explosions, starvation, and pressing domestic
and interpersonal problems, talk of trying to
communicate with intelligent life beyond
the earth may seem at best, the fantasies of a
science fiction writer and at worst, a
dangerous attempt to divert our attention
from important work here at home.
I disagree. I cannot imagine an experience more profound for every individual and
for the population of the world as a whole
than that of communicating with intelligent
life in another solar system. Such communication offers the opportunity for us to
develop our human potential in ways that
will never be possible as long as we remain
alone. Once contact is made, our society and
our culture will be completely transformed.
Any serious examination of possible
communication with extraterrestrials must
consider three things. First, what are the
possibilities of intelligent life existing elsewhere in our galaxy and of our chances of
making contact with such an intelligence?
Second, what means are available to enable
us to understand communication with extraterrestrials? And third, what are the potential, wide-ranging effects such contact
would have on us as individuals and on our
society as a whole? Let us examine each of
these questions in turn.
Until recently the argument for the
existence of intelligent life in other parts of
the galaxy has been based on statistical
grounds. Such grounds still provide the
strongest basis for building the case for the
existence of extraterrestrials. But two important discoveries in the last decade have

L

E?

enabled us to go beyond statistical probabi Iity alone. The first is the almost certain
discovery of another solar system in our
galaxy, and the second is the discovery in
deep space of chemically-stable, life-forming
molecules such as carbon dioxide, formaldehyde and water.
First let us consider the statistical
evidence. Much of the mathematical discussion that fol lows is based on the article:
"Is There Intelligent Life Beyond the
Earth?" by I.S. Shklovski and Carl Sagan
appearing in the Harvard Project Physics
Reader, Motion in the Heavens.
While it is possible that in the universe
life could exist in forms entirely different
from anything we know on earth (for
example a life form based on silicon rather
than carbon) attempts to determine the
statistical probability of extraterrestrial life
are based on conservative assumptions. While
this necessarily limits our scope, it ensures us
that our probability is a minimum and thus
gives us some idea of the least that we can
expect. Let us ask ourselves this question;
what are the number of advanced technical
civilizations possessing both the interest and
capability for interstellar communication? In
asking this question we are eliminating all
forms of life not sufficiently advanced to
want to or be able to communicate with us.
We may be eliminating large numbers, but
our greatest interest is in those forms of life
with which we can communicate. The
answer to our question can be expressed by
the formula:

In this formula N equals the number of
civilizations mentioned above, R * is the
average rate of star formation, averaged over
the lifetime of the galaxy, fp is the fraction
of stars with planetary systems, n0 is the
average number of planets in each system
with environments favourable for the origin
of life as we know it, f 1 is the fraction of
such planets on which life does develop, fi is

�5.
the fraction of such inhabited planets on , evidence that, for example, there are any
which intelligent life with manipulative • other stars with planets in our galaxy? The
abilities arises during the lifetime of the local
answer now seems to be yes, because planets
sun, fc is the fraction of planets populated
shine by reflected light and because even the
by intelligent beings on which an advanced
nearest stars directly observe a planet orbittechnical civilization arises during the lifeing another star. But if other planets were
time of the local sun and L is the lifetime of
orbiting another star it might be possible to
the technical civilization.
observe the effects of the pulls of these
The formula itself is simple, estimating
f)lanets on their sun as the sun moves
the values for each of its parameters is not so
through space. Careful observations over the
easy. The methods by which these values are
past three decades of Barnard's star, a star
estimated will not be presented here. They
some 20 light years away, has indicated the
are explained in detail in the reference cited
presence of at least one and possibly two
above. The values, based on the most
planets. One of the planets is about the size
conservative estimates are: R "'10 stars per
of Jupiter and is about 400,000,000 miles
year, fp"' 1, ne"' 1, f, "'1, fi"'0.1, f c"'0.1.
from its local sun. To be able to establish
The multiplication of these factors gives:
directly that there is even one other solar
system gives strong support to the statistical
N = 10 x 1 x 1 x 1 x 0. 1 x 0. 1 x L
estimation that there may be at least fifty
= 0.1 L.
million planets in our galaxy.
L is the mean lifetime in years of a
It may not be necessary for an extratertechnical civilization possessing both the
restrial civilization to want to communicate
interest and capability for interstellar comwith us in order for us to communicate with
munication. As Dr. Sagan points out "fortuthem.
nately for us but not for the discussion we
do not have even one terrestrial example. " 1
Furthermore, until recently it was asIf L is very small, say 100 years, then N is so , sumed that the presence of ultraviolet
small that we might as well not bother
radiation in extraterrestrial space would
looking. If on the other hand a civilization
annihilate all conceivable combinations of
can survive without annihilating itself for a , atoms. But the discovery of complex molecules in deep space indicates that the same
million or so years then the value of N
becomes approximately one million. That is,
chemical concatenations that led to life here
there are approximately one million stars in
on earth may be underway elsewhere.
our galaxy which have planets on which
According to Professor Frank Drake,
intelligent civilizations reside. This corresDirector of the National Astronomy and
Ionosphere Centre at Cornell University:
ponds to 0.001 per cent of the solar systems
Each passing year has seen the probain our galaxy.
bility of life in space increase, along
with our capabilities of detecting it.
Once contact is made our society and our
More and more scientists are recognizing
culture will be completely transformed.
that contact with other civilizations is
no longer something beyond our dreams
It is important to realize that the above
but an inevitable event in the history of
is a conservative estimate. As we will see
mankind that will occur perhaps in the
later, it may not be necessary for an
lifetime of many of us now alive.
extraterrestrial civilization to want to comBut how will it be possible for us to
municate with us in order for us to
communicate with extraterrestrials? Actualcommunicate with them.
ly "communicate" may be the wrong word.
The preceeding argument is based on
If by communicate we mean a two-way
statistical probabilities. Is there any direct
1

�6.
exchange of information, then our chances
of communication are slim. Let us again take
the most conservative stance. It is reasonable
to assume that an intelligent civilization
trying to send a signal to us will do so using
the electromagnetic spectrum. That is, such
a civilization will send signals to us at the
speed of light at any of a variety of
wavelengths. It has been speculated that the
most likely wavelength would be 21 centimeters, that of the natural frequency of the
simplest atom, hydrogen. If communication
is limited by the speed of light, 186,000
miles per second, then it would take at least
20 years for a signal to reach us from
Barnard's star. If we answered immediately
it would take another 20 years for our
answer to reach them. And it is very unlikely
that the planets around Barnard's star have
intelligent life.
For stars farther away the round trip
communication time becomes much greater
than the maximum human life span. Although we may want to attempt such an
undertaking in the future, the most promising form of communication is "one-way
communication" in which we listen to
signals from extraterrestrials. This can be
done with the use of large radio telescopes.
The National Academy of Science panel
has proposed such an undertaking. Code
named, Project Cyclops, after the one-eyed
creature in Greek mythology, the giant
telescope would be located on a 3,000 acre
desert site 50 miles west of Socorro, New
Mexico. The United States government has
announced plans to build the proposed
telescope which will consist of 27 dish
antennas, each 85 feet in diameter and set
up in a vast Y, each arm 13 miles long.
Mounted on rai Iroad tracks, the V LA (for
very large array of antennas} will be easily
moveable for sharp focusing. The cost: an
estimated $76 million. 3
Of course we should be sending signals
as wel I as listening for them, "even" if we do
not know to whom we are sending. After all
if everybody is listening, and nobody is
saying anything, then there will be nothing
to hear. In fact, we have been sending
signals.

Recently a special attempt was made to
send a specific message into space. The
Pioneer 10 spacecraft launched on March 10,
1972, is designed to pass Jupiter and then
swing out of the solar system toward the
centre of our galaxy. Although the probability of it being "captured" by another
civilization is very, very remote, a special
drawing designed by Carl Sagan and Frank
Drake and executed by Dr. Sagan's wife,
Linda, was etched into the side of the
spacecraft.

like it or not we have announced our
presence to the universe.
The symbol at the upper left of the
plaque represents two states of the
hydrogen atom, and the little vertical
line between the two circles denotes the
21-centimetre-long wave of electromagnetic energy that the hydrogen atom
emits. Any advanced society, the designers believe, would not only recognize the atom symbol, but understand
that the line represents the atom's
characteristic wavelength and that it is

meant to serve as a scale. Below the
atom, 14 of the radiating lines depict
pulsars - stars that send out radio waves
in pulsed rhythms - and their positions
in relation to the earth. At bottom are
the sun and the planets; the bent line
with an arrowhead pointing to a depiction of Pioneer 10 shows that the
craft came from the third planet out
from the sun and was ejected from the
solar system by Jupiter's gravity. The
man, with his hand upraised to show the
unique opposed human thumb, and the
woman beside him stand in front of a
schematic sketch of Pioneer 10 to show
their size relative to the vehicle. 4
More important is the fact that as a
result of communication between points on
earth and manned and unmanned spacecrafts
during the past 20 years, we have been
sending high intensity signals out into all
regions of space. Some of these signals have
now reached out 20 light years past the star

�1.
Vega. Like it or not we have announced our
presence to the universe.
Now we may ask, how could we possibly
decipher a message sent to us from a
civilization we know nothing about? It may
not be as difficult as it first seems. A
message would not of course be sent in some
specific language as English or French. It
would probably be sent in the form of a
binary code consisting of signals that are
alternately on and off. The decoding of such
a deliberate message is relatively simple.
However, it is now thought by many
astronomers that what we are more likely to
do is to "catch" messages of conversations
between members of an extraterrestrial
civilization much as they can now catch
messages we have been sending to our
astronauts in space. The deciphering of these
messages would be more difficult but by no
means impossible.
At this point the reader might well feel
that we have taken a much too conservative
view concerning the possible forms of
communication. Perhaps we should be more
bold. Must we assume that communication
would be by use of electromagnetic waves?
Perhaps a highly advanced civilization can
dispense with the electromagnetic spectrum
and can send "thought waves" instantaneously to us. There are people who claim to
have received such signals. We tend to
dismiss such people as kooks, or interestingly enough religious fanatics. But can we
be so sure that they are just imagining
things? Does it follow that another intelligence would want to send signals to all of
us? It is possible that only certain people,
for whatever reasons, are sensitive to these
signals? The answer is yes, it is possible. But
if this is the case then the majority of us are
not receiving these messages. For universal
benefit it is more useful to concentrate on
listening for signals that can be interpreted
by everyone.
Now let us turn to the last and by far
the most interesting question. What effect
wou Id the receipt of signals from extraterrestrials have on us?
Let us again recognize that for at least

many generations to come the communication is likely to be one-way; we receive but
we do not respond. Also, as discussed earlier,
the most likely situation is one of our
"listening in on" conversations

between

members of an extraterrestrial race rather
than listening to signals sent out specifically
for our benefit. This makes the deciphering
of the conversations much more difficult,
but the payoff is correspondingly greater.
We can learn a great deal more about a
culture by eavesdropping than we can by
listening only to what they want us to hear.
So what are the possible outcomes? The
first thing that comes to mind is the
possibility of learning something new in the
area of science and technology. Have the
extraterrestrials discovered some new laws of
physics, or some new all powerful energy
source? The idea that we would learn some
new technological information that could
solve our material problems here on earth is
intriguing and pervasive. I think, however,
that we should be careful here. It is just as
likely that we would be in a position to
teach them much more than they can teach
us about science and technology. While
acknowledging the possibility of learning
something new in this area, it should be
placed at the bottom of the hierarchy of
possible benefits to expect.
The most important benefits are likely
to occur in changes in our thinking in the
social sciences, arts, philosophy, ethics and
religion.
It will be extremely interesting to simply
know how these beings get along, how they
spend their time, what they believe, and how
they structure their society. It would be
fascinating to know not only how we are
different but also in what ways we are similar. Do they experience similar emotions of
fear, love and hate? The answers could be
disappointing on the one hand and refreshing and comforting on the other.

Is it possible that only certain people, for
whatever reasons, are sensitive to signals
from extraterrestrials?

�8.
It would be particularly valuable to
know how a foreign society deals with the
phenomenon of death. The problem of
death, and for us it is a problem, may be
dealt with in an entirely different way by an
extraterrestrial community. Whatever way
this may be it will give us a useful new
perspective on our greatest single preoccupation.
Another area of interest is that of
beauty. What is beautiful? We know that to
us humans who see only a tiny fraction of
the electromagnetic spectrum, some things
appear beautiful and others do not, but we
are not really sure why.
Again, the idea that we might share
some common appreciation of beauty is as
intriguing as the idea that they may "see"
far beyond what it is possible for us to
perceive.
In the areas of philosophy and religion it
is difficult to generalize about the effects
because they will be to a large extent unique
to each individual. But there may be some
common denominators.

It would be fascinating to know not only in
what ways we are different, but also in what
ways we are similar.
We might ask ourselves, "What the
position is of the organized religion on the
possibility of the existence of extraterrestrial
life?" According to Rabbi Norman Lamm,
Erna Michael Professor of Jewish Philosophy
at Yeshiva University in New York:
Judaism has throughout the ages generally confined itself to the problem of
man as the sole concern of God in this
world. As a result, there has come about
the idea that man is the purpose of the
entire universe. This has been a rather
general tendency, and never formally
incorporated in Jewish doctrine. However, one of the very greatest of al I
Jewish thinkers, perhaps the most
eminent Jewish philosopher of all time,
Moses Maimonides - who flourished
about eight hundred years ago - strong1y opposed "anthropocentrism,"

view that man is the purpose of al_l
creation. He maintained that man may
be the superior creature on Earth, but
he need not therefore be considered the
purpose of the universe. In fact, he is
not necessarily the most advanced being
in
world. According to his approach,
Judaism today can welcome
a
remarkable openness the idea that intelligent races, even more intelligent
than man, exist elsewhere. 5
Of course organized religion has not
always been so openminded. We have only
to recall the refusal of the Catholic Bishops
to even look through Galileo's telescope.
We may ask, what difference does it
make? If extraterrestrials are out there, they
are out there, and whether or not we want
them to be there makes no difference. But it
does make a difference. It is the difference
between hearing them or just listening to
them, between changing and not changing.
Are we ready?
Some time ago a survey was conducted
among the leading newscasters in North
America asking them to imagine the most
spectacular news story possible - bar none.
Some named a cure for cancer, others an
international declaration of peace. But the
two at the top of the list, far above all others
were ( 1} the second coming of Christ, and
(2) contact with extraterrestrials.
At first glance these two may seem quite
different. But are they really? Of course not.
Either one would provide a clear negative
answer to our oldest of all questions. ARE
WE ALONE?
References
1. Sagan, Carl, and Shklovski, J.S. "Is There Intelligent Life Beyond The Earth?" Motion in the
Heavens, Harvard Project Physics Reader, 1966.
2. Lear, John. The Search for Man's Relatives Among The Stars, Saturday Review, June 10, 1972,

p. 34.
3. 1973 Nature/Science Annual, "Summing up the
Year", p. 166. Time-Life Books, Inc., N.Y., 1972.
4. Ibid., p. 167.
5. Agel, Jerome, Ed. The Making of Kubrick's 2001,
New American Library, Inc., N.Y. 1970, p. 55.

�9.

The T

chin

by: Roland Baird

In the teaching of science one should
"teach the children to think by thinking"
and "science should provide students with
deeper insight into the logic and methods of
the professional scientist" .1 A series of
learning experiences for eight grade eight
pupils from Shuniah School in Thunder Bay
was planned with this in mind. By describing
the activities that were experienced, and the
results of these experiences, it is hoped that
through this one actual example the reader
will see how pupils can learn to think by
thinking, and how they can gain deeper
insight into the logic and methods of the
professional scientist, if they are properly
guided by their teacher.

The Lesson
During the first meeting with the pupils
we discussed the observations that have been
made in the past about solids, liquids and
gasses. They recalled that some substances
changed from a solid to liquid form, and
some from a liquid to a gaseous state. They
saw that cooling some substances caused
them to change from a gaseous state to a
liquid state and from a liquid to a solid
form. On being asked why all these things
happened most of the pupi Is were very
puzzled and it became necessary to recal I the
fact that solids, liquids and gases are made of
molecules.
The first task given to the pupils was to
have them formulate their own individual
theory on why a solid can change to a liquid
or a liquid may change to a gas and so on.
The pupi Is were informed that scientists of
years ago also had to formulate theories on
why these things happened. The pupils were
also made to realize that they had an
advantage over the scientists of years ago,
because they are fami Iiar to some extent
with molecules and atoms.
The pupils at some time during the
learning experience should become aware of

f Science
what they are doing; "they should come to
realize that they are employing processes
through which men learn". 2 In formulating
their own theories the pupils are learning by
thinking, and they are using the methods of
the professional scientist.
The resulting theories were very interesting and showed evidence of a lot of thought
on the part of each pupi I. The pupi Is were
separated for one half hour and then were
grouped together to discuss their theories.
Below are some of the results of their
efforts.
- "the liquid is heated to its boiling point
which will cause the molecules to break
up and form a gas"
- "and then the molecules are expanded
forming a liquid"

- "the heat when making contact with the
molecules of the substance quickens up
the movement of the molecules, by
melting them and they become lighter.
The molecules are now sort of blended
together,

lighter,

faster and slipperier.

This is how a solid changes to a liquid."
- Finally, one boy when talking of how a
gas changes to a liquid state, in his theory,
makes the statement molecules begin to
0

pile onto each other" and one of the girls

states, "I think liquids turn to gases when
heated because the molecules in the liquid
get even more spread out and rise into the

air, becoming a gas."
The discussion about the theories proved
to be perhaps the most beneficial part of the
entire lesson. All students were eager to

comment on the theories that had been
formulated. The pupils were encouraged to
realize that, "science is not just a body of
facts - very important too, are the techniques used in discovering these facts." 3
Much of a scientist's time is spent on
experimental research, and it is often a good
idea to work with a partner. This point was
given to the pupils, and it was mentioned
that by working with a partner you often

�10.
save a lot of time. One person working alone
often becomes too fond of his own ideas and
without realizing it, he sometimes does not
see, or ignores an easier or better method of
accomplishing a certain task. By working
with a partner this can often be avoided. It is
important that both partners be openminded, and that they discuss many possibilities.
Through their discussion they were using
the methods of the scientist, and it was
good that they were able to criticize their
own work and evaluate their own performance. At times it did become necessary for
me to moderate the student's opinion of the
work, or to confirm it.

The Pupils' Second Task
The second task given to the pupils was
to use the school library, and find out all
they could about molecules and the Molecular Theory. They were to work in pairs,
and the information they gathered was to be
put onto a sheet entitled "What Scientists
Know About Molecules". They were also
asked to read about some of the experiments
that had been done in finding out about
molecules. The task was accepted readily by
most of the group because they were quite
anxious to find out just how accurate the
theory was that they had formulated.
Here are the facts that were gathered by
the pupils. They had met as one group, and
under teacher guidance, listed what was
thought to be most important.
What Scientists Know About Molecules
1. "All matter is made up of molecules."
World Book Encyclopedia, (Vol. 13), Field
Enterprises Educational Corporation, U.S.A.,
1972, p. 576.

2.

"A molecule is the smallest possible
particle of a given compound. Ex. A
volume of air the size of a pin head
holds 30 million times as many molecules as there are people on earth."
Popular Science, (Vol. 10), Grolier Inc., New
York, 1966, p. 458.

3.

"A molecule is a combination of two or
more atoms that form a particular
substance."
The New Book of Know/edge, (Vol. 15),
Grolier Inc., New York, 1973, p. 236.

4.

"Molecules are believed to be constantly
in motion, except at the theoretical
temperature that we call absolute zero.

11

The Book of Popular Science, (Vol. 1 ), Grolier
Inc., U.S.A., 1966, p. 163.

5.

"The rate at which molecules move
depends upon the degree of hotness of a
given substance." When more heat is
applied the rate of speed increases and
the molecules collide more frequently
and with greater force. They take up
more space as they bounce farther apart.
"The rate of movement of molecules
gradually diminishes as the temperature
drops. When we reach approx. -273
degrees C the motion of the molecules
stops and there is no longer any heat to
measure."
Ibid., p. 164.

6.

Cooling Molecules - "they will move
more slowly and they will collide less
frequently and usually occupy less space.
When molecules move together into less
space, the substance contracts."
The Teaching of Science by June E. Lewis and
Irene C. Potter, Prentice-Hall International,
Inc., London~ 1966, p. 138.

7.

"The relative distance between the molecule of a substance and their relative
speed usually determines whether the
substance is solid, liquid or gas."
Ibid.

With all the information gathered on
molecules and the Molecular Theory the
pupils could now see what happens when
substances change their physical form. They
were now aware also, of why most solids,
liquids, and gases expand when heated and
contract when they are cooled. Some of the
pupils realized that their theory had been
incorrect, and others saw that some parts
were quite accurate. The pupils had played
the role of a scientist, and after careful
research some had enjoyed partial success
and others total failure.
The Pupils' Third Task
On the third meeting with the pupils
they were asked to read over all that they
had found out about molecules. The pupils
were asked to think of a way (an experiment) of providing one or more parts of the

�11.
Molecula1· Theory. It was important that
they realize that the professional scientist
does not always accept what he reads - he
often sets up various experiments in an
effort to prove a given statement or theory
right or wrong.
In doing the various experiments, the
pupi Is were encouraged to question each
other, as they experimented, to clarify their
thinking. By this kind of friendly challenge
the children can stimulate each other to do
critical thinking. Again, the pupils have been
encouraged to use the methods of the
professional scientist. When the pupils are
encouraged to use their initiative in experiences like this they have excellent opportunities to practise the scientific method,
and to develop problem solving skills and
scientific attitudes.
"The nonrigid individual has the ability
to see and to state the relationships existing
and necessary for the correct solution of a
problem. He can take the individual facts
under consideration and organize them into
a single unified structure. The thought
processes are broad and integrated and take
all the pertinent facts into consideration in
arriving at a solution to the problems." 4
Before the pupils were to begin their fourth
and final task, we reviewed everything that
had been accomplished thus far. A scientist
should be a non rigid individual, as stated
above, and the scientist must be able to
review his facts, and to use them to help him
solve a problem. The pupils had their facts
gathered, they had some experiments, and
there had been several discussions - now
they would have to organize their thinking
and use the knowledge gained to solve a
problem.
The Pupils' fourth Task
A drop of ink was dropped on the
surface of water in a glass beaker. The pupils
watched the ink slowly diffuse with the
water. A discussion followed the observations and then the pupils were asked to
write down their conclusions. It was encouraging to see that all pupils had concluded that moving molecules was the cause
of the diffusion. Some of their conclusions

are listed below:
- "The molecules in the ink started to
spread because the water molecules were
bouncing off the ink molecules which led
to the molecules mixing."
"The ink started to spread out because
the water molecules were hitting the ink
molecules and forcing them to spread
out."
- "When the ink hit the water, the molecules in the water started pushing the ink
around. The water and the ink mixed
filling in the spaces between the mole:
cules."
Some pupils were able to express their
conclusions very clearly - "The molecules in
the water are moving about and so are the
ink molecules. When a drop of ink was
placed in the water, the water and ink
molecules hit off each other causing the ink
to spread. This shows that the molecules are
constantly moving." Some pupils could not
quite grasp what was taking place, "When
the ink hit the water it began to spread all
over and so the molecules in the ink must
move fast because the ink was all through
the water in just a few minutes." This pupil
had the idea of moving molecules, but she
only talks about the ink molecules, and
neglects to mention the collisions between
water and ink molecules. The important
thing, however, was that the pupil was
learning to think by thinking and she was
recalling facts that she had gathered in an
effort to solve a problem. She was having
some difficulty with the material, but she
was experiencing problems that all scientists
face. She had seen an experiment take place,
and _she wasn't quite sure what had happened. How many thousands of scientists
must have had this same experience?
After a group discussion it was decided
that there was a simple way of proving the
diffusion was caused by the colliding molecules of both the liquids - ink and water.
Scientists are often not satisfied with one
experiment - they often devise· other experiments to prove that a conclusion is correct.
It was decided that two beakers be filled
with water. Before a drop of ink was added

�12.
to each, one of the beakers was cooled (put
in the snow) and the other beaker was
heated over a bunsen burner. The pupils saw
that the ink diffused immediately in the hot
water. The experiment satisfied the pupils
that it was the action of the molecules that
caused the diffusion. In the hot water the
molecules are moving about very quickly
and they therefore collide much more with
ink molecules - diffusion takes place almost
immediately. As one grade 8 pupil states,
"The ink drop in the jar of hot water
diffused much faster than the drop in cold
water because the molecules were bouncing
around and hitting each other much faster
with heat, and therefore spread the ink
much faster. In the hot water many more
collisions occurred than in the cold water."
"Most definitions of science agree that
science begins with the search for knowledge
or truth." 5 The pupils have experienced this
search for knowledge as they have experimented with and discussed molecules. They
have learned certain facts about molecules,
but more important, they have been made to
think, and they have experimented, theorized, and discussed just like the professional
scientist. In the teaching of science it is

important that the pupil not just learn what
has been discovered, but how, and by what
method the discovery took place. In having
the pupils learn the methods of the scientists
the science program benefits, "children
should make inquiries - the child should
have the opportunity to develop his resourcefulness, his imagination, his technical
inventiveness and his theoretical reasoning
ability ... A science program should be rich
in opportunities for the development of the
student's creative abilities." 6
Footnotes

1.

Science. Intermediate Division Interim Revision.
p. 9, Department of Education.

2.

Ibid.

3. Ibid.
4.

Educational Psychology in the Classroom by
Henry Clay Lindgren, New York, London,
1962. p. 149.

5.

"How To Do An Experiment" by Philip
Goldstein. New York, Chicago, 1957. p. 8.

6.

Science, Ontario Department of Education,
(Intermediate Division, 1972). p. 9.

SOLUTIONS TO PREVIOUS PUZZLES:

�THE AVIARY

Clues marked with an asterisk involve the common or
ornithological name of a bird. A field guide to the birds
would be helpful.

ACROSS
1*
7.
8.
9*
10.
11 *
16*
18.
21 *
23*
26.
28.
29.
30*
31 *
32*

Trailing legs and S-shaped legs identify them (6)
A means of propulsion (4)
The dendrocopus keeps his pecker up in here (5)
One laid a 25 down or two for gentlemen (3)
A plant for the encouragement of 9 across (3)
A poor flier but expert diver (5)
Another 1 across (5)
Where waders may be found (5)
A phlegmy cry for sale (4)
The American symbol of war and peace (5)
The attitude of 9across while concerned with
25 down (3)
A short healer appropriate to the subject at hand (3)
13 down may easily be this by a bunko expert (5)
An ancient Egyptian object of worship (4)
A careless walker (3)
Wagers driven by bitterns (6)

DOWN
2* Birds under street cars (5)
3 down and 5 across*
A goat milk thief is a container for moonbeams (5,3)
4 * He goes by in the street (6)
5* He sounds like a slate-coloured dope fiend, more
or less (5)
6* Someone entered the water precipitately (4)
8* A witty European fellow, but lacking a tail (3)
12 down and 14 across
A left-wing election (3,4)
13* Take away one chump, and you leave another (3)
14. Shove (4)
15* A practical joke (4)
17. This eater is animal but not avian, though it might
arouse a flicker (3)
19* The epitome of avian wisdom (3)
20* An admiral sparrow, with a bright ochre-buff
breast (5)
22* We are in for a rough sea according to the sound of
things (5)
24* To speak plainly about it, a lifter at the docks (4)
26* A leg expander (5)
27. For a treat, a pet budgie may perform it (5)

�14.

l

I

AH D

by: Frank Jefferies and
Ron Scamme/1
Public Relations and Information Services
Dept. of Energy, Mines &amp; Resources, Ottawa

Energy is a word that has been on
everyone's lips during the past few years,
especially during last winter with the socalled "energy crisis" in the United States.
Canada is in a lucky situation at the
moment in that there is a relatively abundant potential supply of energy resources in
Canada, enough to fill the needs of
Canadians. However, fossil fuels are not
renewable and eventually Canada will deplete what she now has as the demand for
energy continually increases. Research is
going on to find better ways to use our
present resources of energy. Canadian scientists are involved in all aspects of this
research.

PETROLEUM
The growth in the use of oil and natural
gas in the last 25 years has been phenomenal. In 1950, oil and gas contributed to about
one quarter of Canada's energy needs.
Today, oil and gas contribute to more than
two thirds of all the energy required. But
present reserves of conventional oil and gas
in Alberta - which provide more than 75 per
cent of all Canadian petroleum needs - will
soon reach maximum production limits. And
with the demand for oil and gas expected to
at least triple by the year 2000, it is clear
that new reserves must soon be found and
brought into production.
The most promising prospects for more
petroleum exist in the Canadian frontier areas; such as the continental shelves and slopes,
and the mainland and islands in the Arctic
areas. Deposits of natural gas and oil have
been found in the Mackenzie Delta area and
also in the Arctic Islands. A 27-company
consortium of Canadian and American firms
recently applied for a permit from the
federal government to construct a pipeline
to move the gas from the Mackenzie Delta,
along with American gas from the Alaskan

E

RE

E y

E

North Slope, to markets in Canada and the
U.S.
Just how much oil and gas Canada has in
the frontier areas is extremely difficult to
estimate since most of the potential has not
yet been discovered, and is only inferred
through knowledge of the geology of the
areas that are likely to contain petroleum.
Geologists who specialize in stratigraphy,
sedimentology, structural and petroleum
geology combine with experts in paleontology to analyze the sedimentary basins in
the frontier regions. It was a 1954 report of
the scientists of the Geological Survey of
Canada that spurred the present oil exploration activity in the Arctic Islands.
Another I arge source of crude oi I is
found in the heavy oil deposits in Alberta
and Saskatchewan. However, scientists still
have not discovered an economical way to
recover this oil, which cannot be brought to
the surface by conventional means as it will
not flow. There is a potential for large future
production from these deposits; for instance,
once the technology has been developed, a
possible 30 billion barrels might be recoverable, almost three times as much as the
present proven Canadian reserves.
Considerable research on the heavy oi I
deposits has been carried out with one oi I
company working for ten years to develop
an efficient system. Pilot-plant projects using
the best method developed to date steam
injection - have been undertaken. This
method reduces the viscosity of the oil
allowing it to be recovered by conventional
methods,
Despite all the scientific work that has
been carried out, the estimates of the oil and
gas that may be found and recovered differ
widely. However, the federal government's
"ENERGY ANALYSIS", that was released
in June 1973, estimated that Canada has
enough conventional oil and gas to serve her
own needs to beyond the year 2000. After
that, oi I from oi I sands, and oi I and gas from
coal will be needed to meet domestic

�15.
requirements, and will be sufficient until at
least the year 2050.

SYNTHETIC FUELS
The Athabasca Oil Sands
The possible key to the future of
Canada's oil development lies under the jack
pine and muskeg east and west of Athabaska
River in northeastern Alberta. Here are
found the Athabasca tar sands from which
an estimated 300 billion barrels of oil might
be recovered if the technology can be
developed to extract the oil from the deep
deposits. This vast amount of oil is about six
times the total proved reserves of conventional oil in North America and is
comparable to the present probable reserves
in the Middle East.
Explorer Peter Pond in 1788, while
looking for a site for a Hudson's Bay
Company post, noticed that the Indians used
the gooey sands to patch their canoes. One
hundred years later a federal government
geologist from the Geological Survey of
Canada reported on the sands. This was
followed in 1897 by the first of many
unsuccessfu I wel Is.
It has only been since the 1960's that a
concerted effort has been made to recover
the synthetic crude. At the present open-pit
mining is used to remove the tar sands,
which are then processed to extract the oil.
However, only a relatively small portion about 30 billion barrels-of the crude can be
recovered by this method and the remainder
of the Scientists from both government and
industry have been investigating ways to
extract the oil, similar to those envisaged for
recovery from the heavy oi I deposits.
Instead of the picks and shovels of the
old prospectors the modern tar sands developers are using massive pieces of machinery,
such as the bucketwheel excavator that is
over 100 feet high. These excavators can
handle over 6,000 tons of material an hour.
Scientists have had to develop special metal
for this equipment, to withstand the extreme wear and tear of the abrasive sand and
temperatures ranging from 90 degrees above
in summertime to 60 degrees below in
winter.

More than two dozen oil companies hold
leases in the Athabasca tar sands but only
one is in operation at present. Great Canadian Oil Sands Limited (GCOS), has been
producing syncrude since 1967 but will be
joined by a minimum of three more plants in
the next ten years. GCOS produces about
50,000 barrels a day. A consortium, Syncrude Canada Limited, is pl~_nning to produce 125,000 barrels a day; and a third
operator, Shell Canada Limited, 100,000 a
day.

Coal Gasification
Potential fuels for the future are synthetic gas and oil made from coal. By
reacting coal with water and heat, it is
possible to obtain methane gas and oil. In
theory, coal gasification presents an attractive alternative to coal as a fuel because oi I
and gas are relatively clean burning, and
Canada has a Iarge resource base of coal.
However, there are many scientific and
technical problems to be overcome. The
technology for coal gasification has come a
long way from the crude techniques used in
the early 19th century to provide gas
lighting in the streets and homes in Europe.
Gasification in those days produced a gas
with a low heat value. Modern gasification
techniques can produce a heat value that
compares to that of natural gas. The costs
for full-scale development, however, are so
high that gas and oil prices have to rise
sharply to make the process possible on a
large combustion heating it is cheaper to
burn directly oil or coal than it is to produce
synthetic oil and gas from coal. But, with
tighter environmental controls and rising oil
and gas prices, coal gasification could be an
important energy source in the future.
Added to the problem of the high costs
of gasification is the limit on availability
plant sites. Canada may have only five areas
with enough water and readily available coal
to make gasifiation plants feasible. Although
Canada's estimated coal reserves of 120
billion tons may seem like an unlimited
supply, just how much is available technically and economically has not yet been
defined.

�16.
ATOMIC ENERGY
Nuclear power, fueled by the abundant
supplies of Canadian uranium, promises to
be the dominant source of future energy in
Canada. Of all the electricity produced in
Canada today, only three per cent comes
from nuclear power, with hydroelectricity
supplying 75 per cent and fossil fuel plants
supplying 22 per cent. But by the year 2000,
it is estimated that at least 40 per cent of all
electrical energy will come from nuclear
generating stations. By the year 2050,
Canada will have moved into the era of the
"electrical society" with about 90 per cent
of al I energy needs supplied by electricity,
compared to about 25 per cent today. And
that electricity will come primarily from
nuclear power.
The CANDU Reactor
The unique CANDU (Canadian Deuterium Uranium) nuclear reactor, designed and
built in Canada, is a proven source of nuclear
power that is now attracting worldwide
attention. Unlike most other reactors, CANDU uses natural uranium as a fuel, and so
avoids the need for uranium enrichment
plants. Proven Canadian resources of natural
uranium are sufficient for at least the next
100 years. And, as improvements are made
in the CAN DU design, nuclear fuel resources
can be utlized for an appreciably longer
period in the future.
Compared to the cost of the fossil fuels,
uranium is cheap. One cent's worth of
natural uranium produces about 25 kilowatt
hours of electricity compared to about 2
Kilowatt hours for one cent's worth of coal
or oil. Also, the energy potential of uranium
is enormous. One pound of the uranium
used in the CANDU reactor releases the
same amount of energy as 27,000 pounds of
coal, or 2,200 gallons of fuel oil.
With the efficient natural uranium cycle
that is possible with the CANDU reactor,
there is no current economic incentive to
reprocess the spent fuel, which is stored in
water-filled bays at the nuclear power plant.
If, on the other hand, the spent fuel was
reprocessed, there would be the problem of
storing the waste radioactive isotopes.

Despite the many advantages of Canada's nuclear power progrnm, it is not without its cha Ilenges. Si nee most of the waste
heat from a nuclear plant is released into the
cooling water of surrounding rivers and
lakes, thermal discharges require careful disposal techniques and continued attention.
Nuclear power has already begun to flex
its muscles in Canada. The first full-scale
nuclear power station in Canada at Pickering, Ontario, for many months has been
producing more electrical power than any
other nuclear power station in the world,
even though the capacity of some stations is
greater. Its four nuclear reactors have a
capacity of 2,160,000 kilowatts - enough to
supply almost 2 million homes. Two smaller
prototype nuclear power stations are operating in Ontario, and another was constructed earlier in Quebec.
Under construction now on the shores
of Lake Huron in Ontario is a large scale
nuclear complex, the Bruce Nuclear Power
Development. The first 750,000 kilowatt
commercial CANDU reactor will become
operational in 1975, to be followed by seven
others for a total planned output exceeding
6,000,000 kilowatts. Other stations will be
built in Quebec and New Brunswick and
before long nuclear power plants will be
located in other Canadian provinces.

NEW SOURCES OF ENERGY
Eventually completely new sources of
energy must be found. All fuels, even the
abundant supplies of uranium, are finite
resources, and once used, cannot be replaced. Many possibilities for energy in the
future are now being researched, although
large-scale development of these unconventional sources of energy is many years away.
Except for fission and fusion the ultimate source of energy is solar power. So great
is the energy potential of the sun that it
could theoretically provide virtually unlimited supplies of energy. Already solar power is
a reality in the U.S. space program but,
before mass generation is possible, many
technological obstacles must be overcome.
There has been some Canadian research
on solar power, primarily by the Brace

�17.
Research Institute of McGill University. This
has covered such facets as the heating of
water, cooking, desalination, greenhouses
and the drying of agricultural products.
The Brace Research Institute is also active in research on wind power for provision
of electricity in remote areas as well as for
water. The National Research Council and
the University of Sherbrooke have also
carried out work on this aspect of energy.
Another potential source of large amounts of energy is fusion power. Instead of
generating energy by the splitting of atoms
as today's nuclear power stations do, fusion
power generates energy by combing light
atoms of hydrogen. Fuel for this fusion
process is an isotope of hydrogen called
deuterium which exists in the oceans of the
earth. If one per cent of the concentration
of deuterium were withdrawn from the
oceans, the energy that could be release9 by
fusion would amount to 500,000 times the
energy of the world's initial supply of fossil
fuels. Again, however, the problems of

controlled fusion are difficult and a solution
is decades away.
Canada is not active in research in this
field but a study is under way to determine
the possibility of establishing a Canadian
program to control nuclear fusion. Scientists
at the Valcartier establishment of the Defence Research Board have carried out
extensive research on lasers and their application, one of which could possibly be used
in control of nuclear fusion.
A renewable resource that has been
receiving much attention, particularly in
Canada is tidal power. The Bay of Fundy on
Canada's east coast has a great potential for
electrical generation, although nowhere near
the potential of solar power or fusion power.
The costs at present, however, seem too
great for commercial development.

Canadian scientists are in the forefront
of research for new energy sources and will
continue in this role in the future.

The International Congress of Mathematicians 1974
by: Dr. P. Mah
Lakehead University, Thunder Bay

The International Congress of Mathematicians, held every four years, recently
brought together approximately 7000
mathematicians and their families from
around the world to the campus of the
University of British Columbia in Vancouver, B.C. The Congress opened on the
21st day of August and lasted for 9 days.
Since one of the primary aims of the
Congress was to promote personal contacts
among mathematicians over the world, the
organizers, chaired by Professors R.D. James
and M. Sion of the University of B.C., have
tried to integrate the scientific and social
aspects of the programme. Efforts had been
made to provide individuals with frequent
opportunities to meet and exchange ideas in
congenial surroundings. There was general
agreement among the Fe! lows of the Con-

gress that

the unique setting and the
peaceful atmosphere of the campus of UBC
have contributed greatly to the achievement
of this goal. With the same goal in mind, the
organizers had decided to break tradition by
not setting aside Sunday as a tour day but
rather, instead, scheduled a series of daily
tours, barbecues and picnics for relatively
small groups throughout the Congress. And
although formal lectures were scheduled
throughout the days of the Congress, participants usually could find at least a couple of
days in which no formal sessions in their
area of interest would be given.
All formal lectures were held at the
University of B.C. However, the University
of Victoria and Simon Fraser University held
open house for mathematicians during the
Congress. In addition to this, seminars on
Probabilistic Methods in Differential Equations, Mathematical Logic, some aspects of
Applied Mathematics, and Graph Theory
were held in these universities.

�18.
There were 17 invited expository
addresses of one hour duration. These were
given by top men in their fields. Each
address was intended to inform members of
the Congress about the general evolution of
mathematics in some major area and should
be understood by most mathematicians
working in other fields. These addresses were
given in a theatre and were televised live
through the campus. Moreover, the addresses
were recorded on videotape and may be
replayed at any convenient time. Addresses
of a more specialized nature were given by
160 invited speakers. These lectures, of 45
minutes duration, were intended to present
developments in more specialized fields, and
were. likely to be more technical. Again,
these lectures were delivered by top people
in their fields and their audience consisted
mainly of those working in their area of
interest. As well, there were approximately
700 short communications of 15 minutes
duration given by the delegates. These
communications contained the results of
their mathematical research. In addition to
these formal lectures, numerous informal
seminars and discussions were arranged on
individual basis.
One of the highlights of the Congress
was the open ceremonies, including the
announcement of the winners of the Fields
Medals Awards, at the Queen Elizabeth
Theatre in downtown Vancouver. The Fields
Awards was named after the Canadian
mathematician J.C. Fields. The award is
given for top contributions made by young
mathematicians (aged below 40) in their
research. Although the award consists of a
gold medal and a cash prize of $1000,
mathematicians all over the world have come
to value the award as an equivalent of a
"Nobel Prize" in mathematics. The idea of
the award was first proposed in Toronto,
1924. Two awards were made at each
Congress since 1936, but the organizers of
the Moscow Congress in 1966 and those of
the Nice Congress in 1970 found it difficult
to select only two winners and so they raised
the number to four (which perhaps indicated
that tremendous progress has taken place in
mathematics in the last two decades). This

year, the winn~rs were Professors Enrico
Bombieri, University of Pisa, Italy and David
Mumford, Harvard University. A more comprehensive list of past winners will appear at
the end.
The last day of the Congress was August
29 and during the closing ceremonies it was
announced that the next Congress will be
held in Helsinki in 1978.
Attending the Congress from Lakehead

University were Professors W. Allaway, A.
Day, W. Eames, C. Kent, P. Mah, S.
Naimpally and J. Whitfield. Professor Allaway presented a paper entitled "The Representation of Orthogonal Polynomials in
Terms of a Differential Operator Containing
Their Generating Function", while Profes-

sors Day and Whitfield chaired a section of
the Congress. Prior to the Congress, mathematics departments across Canada held open
house for foreign mathematicians enroute to
the Congress. Visiting Lakehead University
for five days was Professor Ivan Singer, Head
of Section of Functional Analysis and
Geometry, Institute of the Academy of
Sciences, Bucharest, Romania. Professor
Singer is considered to be one of the leading
authorities on the Theory of Best Approximation and the Theory of Bases. He has
written numerous articles and books on the
subjects. While he was here, he presented a
colloquium talk entitled "On Best Approximation in Normal Linear Spaces".
List of Fields Medallists
Oslo, 1936 ...................... Lars Ahlfors
Jesse Douglas
Cambridge, Mass., 1950 ........ Laurent Schwartz
Atle Selberg
Amsterdam, 1954 ............ Kunihiko Kodaira

Jean-Pierre Serre
Edinburgh, 1958 .......... Klaus Friedrich Roth

Rene Thom
Stockholm, 1962 ............... Lar Hormander

John Milnor
Moscow, 1966 ............... Michael F. Atiyah
Paul J. Cohen

Alexander Grothendieck
Stephen Smale
Nice, 1970 ....................... Alan Baker
Heisuke Hironaka
S.P. Novi kov
John G. Thompson
Vancouver, 1974 .............. Enrico Bombieri
David Mumford

�19.

•
science
by: Professor J.S. Griffith
lakehead University, Thunder Bay

Read through the topics listed below,
then decide which are ideas of science
fiction authors and which have been proposed in scientific journals.
(a) Life on Mars
(b) Alteration of the rotational axis of Mars
so that more earth-like conditions exist
on the planet
(c) Life on Titan (a satellite of Saturn)
(d) Manned space missions to comets and
asteroids
(e) Millrons of planets moving through space
unattached to stars
{f) Millions of planetary systems in our
galaxy, with a high proportion of them
inhabited.
All these ideas have been taken from
reputable scientific research journals for
professional astronomers.
'Towards a more habitable Mars - orthe coming Martian spring' was the title of
the paper that contains ideas (a) and (b).
Recent observations of Mars (Mariner 9 and
other probes) have shown us features which
are at present only explainable in terms of
the flow of water at some time in the not
too distant past.
There are a large number of dried-up
'river beds' sharply concentrated towards the
equator of Mars, indicating that the climate
of Mars was at one time more Earth-like
with flowing surface liquid water. Calculations show that a fifteen per cent increase
in the heat absorbed by the polar ice caps of
Mars would release sufficient carbon dioxide
to increase the atmospheric pressure and
hence the climatic circulation and prevent
the ice caps (of carbon dioxide overlying
water ice} from reforming. Four mechanisms
for the ice ages of Mars are possible.
(i) changes in the amount of heat produced
by the Sun
(ii) changes in the orientation of the rotational axis of Mars
(iii) polar wandering, bringing the ice caps
into warmer regions of the planet

(iv) dust gradually covering the ice caps,
increasing the amount of absorption of
energy (like the sinking of dirt into snow
banks).
Spores are known to exist for very long
periods of time on the Earth, and if the
excessive evolutionary pressure that Mars
would exert has produced life spores that
survive through an ice age to the next warm
period, triggered into activity by the melting
of the permafrost, then life on Mars may
exist. Two of the experiments on the Viking
landers involve the addition of water to
samples brought into the spacecraft, and
may reveal the presence of such spores.
There is a discrepancy between the
predicted rate of arrival of solar neutrinos
and the observed value, and it is suggested
that this discrepancy is due to expansion of
the solar core. There is a suggestion of such
expansion (and consequent variation in
brightness) in observations of other stars,
• and to the extent that climatic change
produced by major solar variability produced major evolutionary advances on the
Earth, comparable biological evolution could
have occurred on all other inhabited planets
in the Galaxy.
Population pressure on the Earth may
• lead to the desire to populate other planets.
To make Mars habitable before the expected
spring which is expected in about 10,000
years, it is proposed to move asteroids close
to Mars, so that their gravitational field tips
• the poles of Mars and moves the ice caps
into. warmer areas. The energy for this
movement of asteroids would come from
solar radiation.

Titan - a greenhouse
Life on Titan is suggested because it has
a greenhouse atmosphere. Unlike the Venusian and terrestrial atmosphere greenhouses
where carbon dioxide is a prominent factor,
on Titan hydrogen plays a dominant role,
with surface temperatures as high as 200K
and abundant organic compounds in the
clouds, atmosphere and surface. Biological
action under these circumstances is by no

�20.
means out of the question, and Mariner
flyby missions or even landings are proposed.
Planetary systems around other stars are
difficult to detect, and the suggestion that
Barnard's star has planets has been questioned. However it is proposed that the majority
of single main-sequence stars of spectral type
later than F5 possess planetary systems,
because these stars have slower rotational
rates than 0, B and A stars. The slowing of
rotation is due to magnetic linkage with a
surrounding disk of protoplanetary material.

Many such disks have been observed, and it
is probable that we are witnessing the
formation of a large number of planetary
systems. In some cases a part of the
proto-planetary material acquires a spin
sufficient for it to be detached from its
gravitational orbit around the star, and from
these fragments and from conglomerations
of dust and gas insufficient in mass to form
both planets and stars, the existence of
planet-like objects, unattached to stars,
exceeding stars in number, is deduced.
Life on Comets?
We still do not know precisely how our

0 en

own solar system evolved, and cometary and
asteroidal material is thought to represent
the Rosetta stone to our understanding of
the evolution of the solar system, being
virtually uncontaminated primeval material.
A recent NASA report contains the quotation that possibly "comets even harbor
very primitive forms of live organisms".
Flyby missions, followed by sample collection would greatly increase our knowledge.
"The ultimate in small body exploration
would be a manned mission." Flyby missions would, for example, let us·decide which
asteroids were spoiled by internal heating,
differentiation and the effects of shock
waves and heat changes with no clues left as
to how they were formed.

In these six areas, science fiction is
becoming science fact. Man's imagination is
ofte.n limited to extrapolation of accepted
scientific facts, so it is not really surprising
that many of these extrapolations are becoming overtaken by the march of science.
After all, in the nineteenth century any form
of powered flying machine would have been
science fiction.

niversity

by: Professor C. F. Kent
Lakehead University, Thunder Bay

In the spring of 1974 Lakehead University's Department of Mathematical Sciences
decided to offer three of its first year
courses by use of Open University course
materials. The Open University in Britain is a
full degree-granting university operating for
off-campus "extension" students. The O.U.
makes extensive use of television and radio
and operates regional tutorial centres in
many parts of Britain. The faculty of the
O.U. has produced much high quality educational material and it is interesting to test
their booklets and films in the Canadian
context.

aths

The Ministry of Colleges and Universities through its Committee on Instructional
Development, assisted the Department of
Mathematical Sciences with the cost of
purchase of some of the necessary equipment, and sections of three courses, Math
1160, 1181 and 1281 are being offered this
year via the O.U. pathway. Two sections of
M1181, Calculus and Algebra (with computer) and one section of M 1281, Introduction to Pure Math are in progress on the
Thunder Bay campus.
An extension section of M1281 is in
progress in Dryden, and other off-campus
students are using O.U. materials to study
the calculus. All of these students will be

�21.
scheduled to meet with L.U. math faculty
members regularly during the year.
In Britain, the Open University telecasts
twice each week a 25 minute film for the
lesson unit under study that week. There are
also radio tapes broadcast each week. At
two-week intervals British students meet a
tutor for a one-hour help session at a
regional resource centre. The O.U. math
instructors generally feel that students could
use more help than they get.
The Open University admits any applicant who is 21 years old to any of its
programs of study, without regard to academic prerequisites. The success rate of their
students in non-science courses is quite high,
while in science courses success rates fall off.
Unfortunately, in mathematics the success
rate is lowest. This only points up something
that most of us already know, that mathematics is a subject which people have
difficulty learning, for a variety of reasons.
But, the O.U. experience has also shown that
the students who complete their program
compare well with graduates of other British

universities.
The L. U. Department of Math Sciences
is well aware of the help that many students
require with math, and it tries to establish a
firm contact between students using the
O.U. materials and mathematics staff. The
O.U. films for the courses offered are owned
by L.U. and are used to supplement the
texts written by the O.U. course teams for
each lesson unit. Unfortunately it is not
technically possible, nor financially feasible
to telecast these films in N.W. Ontario. The
course texts are independent of the films,
but the films are a valuable supplement to
the texts and provision is made for offcampus students to see the films. The O.U.
course teams have made very effective use of
the film medium to present background
material which is too time consuming and
costly for an individual math instructor to
prepare. Interviews and short film documentaries on the applications of math in the
everyday world, elaborate and effective
models and devices for illustrating mathematical ideas, and effective use of computer
graphics are intermixed in the films.

Mathematics in today's world is a vital
and changing subject. There was a major
change in mathematics teaching which generally acquired the name "new math". That
name meant that the infusion of unifying
ideas from set theory devised in the 19th
century finally caught on in school teaching
in the middle of the 20th century. But, that is
now yesterday's story. There is a "newer
math", and that is computational math. The
O.U. math materials are prepared to emphasize the importance of computations which
were not possible several years ago, but can
now be performed by the rapidly growing
generation of computers which will soon be
available nearly everywhere. Many such
computational procedures can be carried out
on the very small calculators and should be
introduced to anyone who intends to use or
teach math. One example of the O.U.
approach to this subject will conclude this

account.
For many years, in fact centuries, it was
necessary to develop mathematical techniques to short circuit calculation. Such
formulas as the "quadratic formula" for
solving equations like
AX 2 + BX + C O
do this very effectively by writing

( 1)

X == -B+ /8 2 - 4AC

(2)
2A
Unfortunately, other classes of equations do
not submit to this kind of treatment. An
equation like
SIN (X) - X 1-5
0
(3)
would, until recently, have been regarded
with horror by generations of math users.
To the computer age student, equation
(3) is no more troublesome than equation
(1 ), and there are several very simple ideas
for its computer solution. Equation (3) can
be rewritten as
(4)
X == (SIN X)Lf.3
and what equation (4) "says" is that we
want a value for X which is unchanged by
2
the calculation of the right side, (SIN X) l3.
Such values can often be found by guessing
an initial value, X 1 , passing X 1 through the
calculation (SIN X)2'3 to get a better value

�22.
X 2 , and by repeating this process until a
stable value of X is found. Stable means that
the number X, expressed to as much
accuracy as we are interested in, emerges
unchanged from the calculation box. The
procedure is summarized in the diagram.

this procedure is given below. It is written in
the APL computer language used on the LU
computer, but the thing to note is how short
and concise the instructions to the computer
are. There is also a computer printout of a
solution to equation (3), to 5 decimal place
accuracy. The same solution was carried out
on a hand-held Texas Instrument calculator,
in the same number of steps, in 70 seconds.

A short computer program which performs

APL INSTRUCTION
f/

[l]
[2]
[3]

[4]
(5]
(6]

K SOLN X
XN+X
XN
XM+-(1 oXN) *2¾3
+( ( ( IXN-XM) )!;K) /0
XN+XM
+2

V

. 00001 SOLN 1.0

EXPLANATION
[l]
[2]
(3]
[4]
(5]
[6]

Choose X as first guess
Print the current value
2;.
Computethe function (SIN(XN)) 3
If the difference in the last two values
is ::;K, stop
Change the guess to the new value from [3]
Go back to line [2].

Starting with a guess of 1, compute
to accuracy .00001 .

1

0.8913044954
0.8458231997
0.8243934626
0.813800048
0.8084452283
0.8057085975
0.8043022638
0.803577518
0.8032034828
0.8030103024
0.8029104907
0.8028589102
0.8028322518
0.8028184731
The "convergence" of the successive test values to a solution to equation (3) which the
above table illustrates, is one of the cornerstone ideas of the calculus. Introducing the
calculus student to the idea behind the computer solution not only teaches him a useful
computational technique, but helps him to understand one concept of the calculus in a
concrete situation.

�UNITS

ACROSS
1. The Canadian body responsible for metrication (6, 10)
8. 1/100 chain (NOT an SI Unit) (4)
9. 1/12 of this carbon entity is 1 u (4)
10. A quality measured in kg m·3 (7)
13. la (4)
15. The old name for 1 fm (5)
16. Happenings without units (6)
19. A width (4)
21. The general term for a creative mental exercise (4)
22. Anti-front? (4)
23. 10·18 (4)
24. The consumption of this device is normally measured
in kWh (6)
25. The units of this might be m km·1 (5)
26. 100 fm 2 - not SI. (4)
29. 104 m2 (7)
32. A low pH (4)
33. Fishy non-SI measure of capacity (4)
34. Children here now will be accustomed to SI Units (10,6)

.DOWN
1.. A loose way of describing a plane figure of area
10· 6 m2 (10,6)
2. Factors for metric units (4)
3. Hurrah! for SI Units? (5)
4. Units of electrical resistance (4)
5. The quality characteristic of mass (6)
6. A very small amount - but not an SI Unit (4)
7. The answers to metric calculations, excluding the
units (9,7)
11. The base of SI multiples (7)
12. The quality measured in JK·1 (7)
14. n/2 radians from N (4)
17. The next nearest one is about 4 light years (4)
18. A non-SI Unit of length (4)
20. Unsatisfactory (4)
26. The outside of a chest (6)
27. Incorrect (5)
28. A non-SI Unit of length (1.609344 km) (4)
30. 101325/760 Pa (4)
31. Liable to be high when the barometer reads a low
value of 3 0 (4)

�24.

T~rowilg l ht on the Past of Cer ia
by: Dr. S.J. Fleming
Research Laboratory for Archaeology, Oxford

The phenomenon of thermoluminscence
(TL) is exhibited to a varying degree by
many minerals. It is an emission of light
when the mineral is heated: th is Iight is
additional to· the usual incandescence that
occurs at elevated temperatures around
400° C. It represents the release of energy
stored as trapped electrons in the crystal
lattice of the mineral. The energy is accumulated by absorption from nuclear radiation
to which the mineral hlay have been
exposed. Consequently the amount of TL
observed (as measured using an extremely
sensitive photo-mufti pf ier) is directly related
to the overall radiation dose which has·been
received.
In terracotta and most types of pottery
there are crystalline .constituents (like·
quartzes and feldspars). that have this capacity for accumulating TL energy particularly well. Though they receive only a small
dosage of nuclear radiation each year over
the long periods of archaeological burialthe
total dose experienced is quite appreciable.
The dosage comes from radioactive impurities (around 1-10 parts per million ppm - of uranium and thorium and a few
per cent of potassium) in the clay fabric
itself and in the surrounding burial media;
cosmic radiation also makes a smaff contribution. The concentrations of the radioactive impurities can be measured using
standard laboratory techniques.

Time-zero for pottery
In a geological condition the relevant
minerals will have accrued huge levels of TL
energy but this will have been driven off
during the process of kiln-firing when ancient man included some sand in his clay
stock to help the pottery fabric withstand
the rigours of extreme heating.
Immediately after its manufacture the
pottery's stored TL is nil. A time-zero has
been set that is directly related to the age of

a■cl Bro■zes

the pottery. In present times the natural TL
carried by the sample can be expressed as an
accumulated dose. This is determined by
exposing the sample to radiation from an
artificial radio-isotope of known strength,
hence calibrating each individual fabric with
respect to its susceptibility to TL energy
storage. We may then use the equation:
Age

=

Accumulated dose
Annual dose-rate
to obtain a date of· manufacture for the
pottery.
It is worth stressing the importance of
the mechanism of time--zero setting peculiar
to pottery-making. Other media of interest
to archaeologists and art connoisseurs, like
marble and sandstone used in sculpture,
jades and. precious stones used for decoration, obsidian used for tool-making, are
geological in origin. TL anijlysis of these
would duly yield a geological age, not a date
for when the material was worked in
antiquity.

Archaeological dating
A major limitation in accurate TL age
determination is the dependence of the
annual dose-rate on external environmental
factors. Even in homogeneous burial contexts there are a number of difficulties
associated with evaluation of the gamma
radiation dose-rate from radioactivity analysis of an extracted soil sample.
The most obvious is that groundwater
(low in self-radioactivity) directly dilutes the
dosage from the burial medium by acting as
an energy absorber itself. This correction for
the presence of water is also applicable to
the internal dose components of the pottery
(short-range alpha and beta radiation) but.
saturation uptake rarely exceeds 20 per cent
while uptake in soil media reaches levels of
70 per cent of the dry material weight.
Further, the decay chain of uranium
includes an isotope of particular importance,
radon (Rn 222 ), which is gaseous and thus
capable of high mobility about the soil and

�25.
of free movement to the outer atmosphere.
Close to 98 per cent of the total gamma-ray
energy associated with the uranium chain
lies beyond this gaseous decay product. The
radioactive half-life of radon, of 3.84 days,
allows a degree of diffusion - dependent
upon the soil's porosity -- comparable in
distance with the influential range of gamma-radiation of about 30 cm that affects the
pottery sherd's dosage. The presence of soil
moisture reduces this diffusion by an order
of magnitude, but now a transportation
mechanism during groundwater flow allows
radon displacement of up to 2 m.
Inevitably these factors result in the
environmental dose-rate being subject to
seasonal fluctuations.
As a short-term solution at present a
measure of the integrated annual gamma
dosage is obtained by placing a small capsule
of annealed fluorite in as similar a burial
position as possible to that from which the
sherd was removed. This dosimetry phosphor
has a susceptibility to radiation many orders
of magnitude greater than pottery minerals

and so an accurate measurement of the
environmental dosage is easily obtained at
the end of the year's burial.
The level to which such a short-term
measurement correctly reflects the levels
experienced in the long-term archaeological
burial is questionable and comparison of two
sherds from an original test programme of
the TL method may well show this (See
table below). The distinguishing feature
between the two sherds is the different
dependence on the environmental dose-rate
(the 0.080 rad yr-1 being the value obtained
at the site during 1968-69 using the monitor
capsule approach). For the sherd d2 which
has a high internal dose-component the
surroundings contribute less than 21 per
cent of the total dose-rate, but for sherd d4
that dependence reaches a level of 57 per
cent. Thus it is reasonable that while d2
yields a TL age within 2 per cent of the
known age for the Roman Fort, d4 is about
11 per cent in error. Yet with a change of
only 0.016 rad yr- 1 in the environmental
dose-rate both sherds lie within 2 per cent of
the known age - such a variation is certainly

a reasonable level to be expected in longterm fluctuations.
Accuracy of the TL dating method has
been shown to be close to ±7 per cent per
sherd, on average (expressed as one standard
deviation, statistically). In application thermoluminescence has been used on pottery
from the Nok culture of Nigeria, from the
Early Bronze Age phase of Crete (at the site
of Myrtos), from the Jomon Culture of
Japan (placing the early occupation of the
important site of Fukuie Cave as far back as
the eleventh millennium BC). Aboriginal
hearth material from Mungo Lake, Australia,
has been provisionally dated to arpund
35,000 years old. The neolithic levels of the
Cretan site of Knossos are now under
investigation through study of the six-metredeep strata below the renowned Minoan
Palace site.

Authenticity studies on ceramics
From the outline of the principles of the
TL method given above the distinction
between an authentic art ceramic and one of
modern origin (be it imitation or forgerv) is
now apparent. The modern ware wi II -yield
only a small fraction of the TL observed
from its genuine counterpart.
There are special restrictions upon the
accuracy the TL method can achieve in
dating art ceramics, however. To prevent
physical damage to the piece the sampling
process involves drilling a hole only about
2-3 mm diameter in the piece. The small
quantity of material collected allows only
approximate assessment of the radioactivity
content of the clay. Also, the cleaning of the
ceramic prior to sale or display removes the
adhering soil that could have given some
indication of the piece's burial environment
so the latter quantity, in terms of radioactivity, is an unknown in our age calculations. Accuracy of dating of authentic
wares is then usually around ±15 per cent, at
best. With modern wares the lack of •sufficient time to build up a significant TL
signal means that it is rarely distinguishable
against the background incandescence also
measured for each sample. Then only a limit
can be set on the piece's age.

�26.
The examples discussed below have been
chosen to illustrate one central theme: that,
irrespective of how accomplished and experienced an art historian may become in
recognising style visually, certain features of
the forger's skill must necessarily cause
severe headaches.
(i) Terracotas

of

the

Renaissance

period

offer an interesting problem for a couple of
distinct reasons. Workshop techniques of
manufacture typified by the works of the
della Robbia family such as the Pieta allow
anomalies in style to be attributed to either
imitative attempts in recent times or the
hand of an apprentice whose efforts slightly
distort the characteristic family style. Also
there was a phase of definite encouragement
of high quality imitation from 1850 onwards. Indeed, the Doccia factory was
awarded gold medals in 1851 and 1855 for
its ability to simulate della Robbia tinglazing techniques, a treatment of the
terracottas originally intended to harden
them sufficiently to face outdoor exposure,
so offering a cheap alternative to use of the
more fashionable marble. The passing of
over a century and the blurring of documentation of the sources of imitations of
this type may well have allowed many pieces
to receive false attribution in present times.
(ii) Ceramics of the T'ang Dynasty in China

(Ad 618-906) first attained popularity in the
western world during the second decade of
this century. A large proportion of these
wares were unearthed quite by chance as
railway construction carved through the
ancient tombs in the Chinese countryside.
However, at the same time several kiln sites
were found that gave much insight into the
technology of the T'ang artisans, particularly aspects of the use of piece-moulding
methods. Several original casting moulds
were taken up and some were re-used to
produce impeccable forgeries. The idea
would cover a very wide spectrum of
unglazed T'ang Dynasty wares such as
groups of musicians, zodiac figures of mythical significance, groups of warriors and
other animal types, like camels and oxen.

Porcelain problematical
A recent development in the TL method
has been its application to Chinese stonewares and porcelains. Here only partial
success has been achieved as the cl~y used
for these wares was usually much purer than
the more common earthenware ceramics:
only limited amounts of crystalline impurities were added before firing. Occasionally
even authentic wares give no natural TL, nor
do they respond to laboratory radiation. The
TL method is then simply not usable.
One important example is worthy of
note however - a phosphate-splashed bottle.
This high-fired grey stoneware piece received
much acclaim at the Oriental Ceramic
Society Exhibition of T'ang Dynasty Art in
1955, but has recently been questioned by
experts in America. The TL authentication
of the bottle has offered a rapid solution to
this academic controversy.
Dating of Bronzes
Specific reference was made to minerals
that possessed the property of TL energy
storage. Indeed this property is limited to

such substances - metals (bronze, si Iver and
gold) and other materials of archaeological
importance, like wood, do not have the same
capacity and so TL analysis cannot be
applied to them, in a direct sense. However,
many ancient civilizations employed a technique of bronze manufacture that involved
casting the metal about a sand or clay core.
Then TL analysis becomes feasible, not on
the metal itself but upon this supporting,
fired ceramic-like material inside.
In China th is technique of construction
began in the Late Shang period (circa 1100
BC) and is particularly common in the Chou
period (1027-222 BC) that followed. It is of
interest to note that the documented era of
imitation of early Chinese bronzes is the
Sung Dynasty (AD 960-1279) when academic interest in that material flourished.
The intervening 900 years or so, coming
forward to the present day, is quite long
enough to allow development of good
patination indistinguishable from that on
much earlier pieces.

�27.
Dating is practical on bronzes from
Africa (particularly of the Benin period) and
has already found useful application in
material from Java, Cambodia, Nepal, India
and Thailand, where, unfortunately, there
are growing signs of a flourishing industry in
production of imitation wares.
In conclusion, attention should be
drawn to the fact that TL dating is an
absolute method, not dependent upon reference standards and requiring no data on
technology of the past to solve authenticity

problems. As such it may be fairly claimed
as one of the most powerful tools in
archaeological and art historical research
now available.
Further reading

See Archaeometry, volumes 11 onwards
(bulletin of the Oxford Research Laboratory
for Archaeology and History of Art).
Two monographs by the author are due
to be published in 1973 by Merrow Press,
England.

Table: TL dating of sherds from Baginton, England (Roman Fort, AD 70).
Sherd reference

Water uptake
{% of dry weight)

d2
d4

12.5
10.2

Dose-rate internal
(rad yr-1 )
0.306
0.060

Dose-rate environmental (rad yr-1 )

Accum. dose
(rad*)

TL age
(years}

0.080
0.080

750
287

1940
2110

* The doses are expressed in rad, equivalent to an absorbed energy of 100 ergs/g.

This article is reprinted from Spectrum, No. 108, 1973.

EDITOR'S NOTE

Caret is directed at the high-school
teachers and students, and we would Ii ke to
keep it so with your help. One of my many
headaches as editor is to know what do and
would appeal most to my readers. I have
been fortunate, in this new office, to have
many useful criticisms and suggestions from
the Editorial Board, and we at LU. are
beginning to introduce some changes, e.g.
shorter articles, more frequent issues, Editor's Mix with word games, definitions, etc. I
cannot help feeling that much more can be
done yet. In the Science Faculty, particularly near Science Fair time, we often have
requests from students for help with their
projects. In Caret we would like to feature a
Question Box in the hope that the answers
would prove useful to a wider spectrum of
readers, particularly those from out of town.
So why don't you - and that means YOU
TOO - write to us, send in your queries,
WRITE!? It is of course always gratifying to
receive letters like that from Mr. Dunnell,
but that of Miss McBride is equally welcome.
As in the past issues of Caret we are again

appealing to you to let us know how you
feel about Caret. Feelings, likes and dislikes
do change. So, even if you have written
before, do write again soon!
Another headache that many editors
have is to find persons willing to write
articles. In this respect I have been fortunate
to inherit a number of articles from the
previous editor, Dr. J. Hart. I thank him for
them, the crossword puzzles and for his
help. But I am counting on YOU for future
articles, and I thank you in advance for
them. I also thank the contributors ir, this
issue of Caret, all those who have helped to
produce it, those who attended the Editorial
Board meeting, and Mr. S.T. Spivak for his
work on the crosswords.
True or False?
ammeter: a device for measuring the elevation of
the sun through 90 degrees, from sunrise to noon.
cataract: a waterfall
genome: fictitious character commonly found under
mushrooms
If you do not agree with those definitions, send in
YOUR version.

�LA EE

I

SITY

FACULTY OF SCIENCE

THE BORA LASKIN SCH LARSHIPS
Five scholarships of $1,000.00 will be awarded in
1975-76 to students entering the Energy and Fuel
Science programme. The scholarships are renewable for a maximum of three years depending on
academic progress.
Early application is advised and further details of
the competition can be obtained from:
The Office of Bursaries and Scholarships,
c/o Dean of Students,
Lakehead University,
Thunder Bay, Ontario.
P7B SEl

�If you have enjoyed reading Caret, please write to us.
If you have not enjoyed reading Caret, please write to us.
If you would like to contribute an article, please write to us.
If you have any suggestions for improvements, please write to us.

UCARET"
Lakehead University
Thunder Bay, Ontario
P78

5E1

�PLEASE LEA VE ME
ABOUT FOR
OTHERS TO READ

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                <text>Caret: Lakehead University Science Review. A publication produced by Lakehead University Faculty of Science and distributed especially to high schools and other universities. Volume 1 Number 4, January 1975.&#13;
&#13;
Articles on a variety of topics:&#13;
Extraterrestrial life and the statistical probability of life&#13;
Teaching science to children&#13;
Future energy fuels, petroleum, oil and gas to new sources like uranium and solar energy&#13;
International Congress of Mathematicians&#13;
Open University Maths&#13;
Archaeological dating in ceramics and bronze&#13;
&#13;
Also contains photographs and crossword puzzles.</text>
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                    <text>LAKEHEAD

UNI

SCIENCE
VOLUME 1

NUMBER 3

.

INTERNATIONAL

'

NUMBER

�Our CARET symbolizes the disastrous
communications gap between High Schools and
Universities: the bridge across it is missing and
we will hope to span the void if only with
a gossamer thread.
Let us know what kind of articles you
would like to see.
Write an _article yourself
and send it in. Push your science teachers into
sending us stories about their scientific and
personal interests, or write about them yourselves (what an opportunity!) Above al I, don't
think that what you have to say will not be of
any interest to us: let us be the judge of that.

And, please don't assume that university
scientists are somehow not quite human; we
experience the same emotions of fear and hope,
love and hate as the majority of human kind.

Type: Fiona Karlstedt
Design: LU. Media Services
Printing: LU. Print Shop

�aret
A LAKEHEAD UNIVERSITY SCIENCE REV!EW
incorporating
LAKEHEAD UNIVERSITY MATHEMATICS GAZETTE
(kar'at) n. A sign (A or A)
aced below a line to indicate
something shou 1d be inserted.

EDITOR

VOLUME 1, NUMBER 3, 197~.
EDITORIAL
LETTERS TO THE EDITOR
THE UNIVERSITY SCIENCE SQUAD

Dr. J.

by A. W. Kruijshoop

ASSOCIATE EDITOR

ARCHAEOLOGICAL DATING IN
AUSTRALIA by A. J. Mortlock
SCIENCE WITHOUT ELECTIVES by

Hart,
Lakehead University

Professor B. Spenceley

HONORARY EDITORIAL ASSISTANT
Mrs . G . I. Hart

EDITORIAL BOARD
Mr. G. Campbell,
Westgate Collegiate &amp; Vocational
Institute
Mr. c. Gehrels,
Ontario Ministry of Education
Mr. W.

Lajoie,
Westgate Collegiate &amp; Vocational
Institute

BIOMECHANICS - YOGAMECHANICS by
B. R.

THE ENERGY DILEMtv'iA by G-A. Grin
HEAT, ENTROPY AND LAWLESSNESS
by K. M. Khanna
AN INTERVIEW WITH GRAHAM CHANDLER,
DEPUTY REGISTRAR OF THE UNIVERSITY
OF SALFORD, ENGLAND
THE ORGANIZATION AND MANAGEMENT OF
SCIENCE IN THE U.S.S.R. by
E. S.

9

'13
15

17
19
22

27

Bobrov

Mr. T. Reynolds,
Queen Elizabeth High School,
Sioux Lookout

Valerie Mothersill

15 PUBLISHED BY THE
FACULTY OF SCIENCE OF LAKEHEAD UNIVERSITY, THUNDER BAY,
ONTARIO, CANADA. P7B 5El

5

Seth

A GEOLOGIC TRAVERSE ACROSS AFRICA

CARET

3

R. J. Julian

Mr. J. Palko,
Port Arthur Collegiate Institute

THE VIEWS EXPRESSED IN CARET
DO NOT NEC ES SAR I LY REFLECT THE
OPINIONS OF THE EDITOR, THE
FACULTY OR THE UNIVERSITY.

2

36

by John S. Mothersill

TRAVELS WITH MY SON by
AU SEUIL D'UNE NOUVELLE TECHNOLOGIE:
LA SUPRACONDUCTIVITE by Gaston Fischer
WELCOME TO MY SCHOOL by Ernie Dojack
ARISTOTLE'S IDEAS ON MOTION

41
44
47

49

by D. G. Hughes

KENORA ENVIRONMENTAL SURVEY
by R. Aitken
LE CHAMP MAGNETIQUE TERRESTRE

51
53

by Gaston Fischer

THE CONTINUING ADVENTURES OF MATWiAN 59
by The Lakehead University Math Club

�I!

fl

IC

I

By Martin Steward

technological advance appears to be

Though a log l ca 1 necess I ty, such a
system is 1 i ke l y to pi ay havoc w l th
advance in pure Sdence. A swing
away from the idea of technology as
a by-product of pure research, to-

c&lt;;mirig to a~1 end, i t ls perhaps
unfzJshJc,na'.)]e ~:c: try to anticipate

wards fundamenta, advance as a byproduct of "R &amp; ;)'' is almost in-

the s~are o~ our society, say a hun-

evitab]e, Indeed, it is impossible
to see the cotrntry 1 s scientists
satisfied with such a system.
Would lt not be more real ist!c
for the government to continue to
sponsor research in such fundamental
subjects ln the universities as
part of general educatlonai pol icy,
and encourage the more !iuseful":
fields to follow the example of
the Pasteur Institute in Paris, and
take immed late advantage of the 1 r
practical applications? At the beginning of this year, the Pasteur,
France's outstanding institute for

At a time when, to the general
pub! kc- a per ioci of z-eai ly dramatic

dred yea:-·s f:-om now"
T!·,: s, however,
must he.we cee,1 3 quest l on in the
mind cf evc:-y scientist during the
lase yt2r~ as t~e government 1 s views
on the :;ponso,sh i p of scientific
research have grad~ally crystallised
thrnc1gi '.:re H~;thsch;1d Re;:,ort ancf
the \t!h te '-'aper, ;:l\ Framework for
Gc&gt;vernmen'.:: Research and Development".
As most scientists are on,y too
uncomfortably a1.r1are, there ls one
m,Jjol"' prcb 1 em inherent l""l the present
system. As far as the government is
concerned, sc l' ent l sts involved in
pure ,.. esearch are being pald largely
to satisfy their own appetites for
knowledge of the universe. Apart
from unfortunately negi igible lnte l l ec tu a 1 v a l u e to the pub i i c

(negligible because of extreme
sped al isatlon 1 n many topics, and
poor communication between scientists
and public), the only real value of
such ;-,ese2rch tc&gt; the country is the
occasional technological innovation
which results. As lnflat:on and
other short-term problems gradually
r'l!du::.e the ava1 1 able funds, it is
only raturaI for the goverr1mentto
re~f~xarni n~ the system and attempt to
improve the efficiency in terms of
t(?chnologlcal yield.
As a result,
ti1ough, gover'1ment support for pure
r1?searcii, i, e, that which does not
hdve ;,ny techno log i ca; goa 'I in ml n d •
will have to be severely restricted,
r,1s ls a logical nf.:cessity -- however uncomfortable for the pure
research scieritlsL
Equally

loglca! ls the request that
scientists take an active interest
in DES,\- pol lcy, but, l f present
L1dicatlons are a reliable guide,
such a change of approach w I 1 l get
off to a shaky start amongst our
more conservative scientific
Institutions.

2

fundamental biological and medical
research, founded its own who l i yown ed limited pharmaceutical
company, whose tot a 1 prof i ts w i 11
pass directly to pure research. As
this example demonstrates, i t
requl res the in i t i at! ve of scientists alone to spark off such a
venture, and clear;y it is their
responsibility to attempt th ls
and, in doing so, help the country
to maintain work in the Jess
technologically useful fundamental
sciences that are really the vital
i nsp l ration beh l nd a 1 1 scientific
research and for which we have

such a high reputation.
'~Department of Education and Science.

r--------=-·-7
j

This article Eirst appeared in

!

~

ENQU i RY 1973, the Sc.ience ,Journal
lof the f!arrov,J County School for
~ Boys. Mart in Steward won an Open

~

!scholarship to read Natural~
;scienc(::S at Christ's College,!
and is now studying
,
~
I t has been slightly abridged.

i Cambr.idge
i there.

�LETTERS TO THE EDITOR
I thoroughly enjoyed the magazine
and think i t would be very useful
in the library.
Please let me know the cost of a

yearly subscription.

Thank you very much for the complimentary copy of the La.kehead publication
CARET. As suggested, we will see
that i t is left about for others to
read. Future copies will also be

appreciated.

P. Backer, Librarian
Hanmer Secondary School
Hanmer. Ontario I
The publication of CARET (Vol. 1,
No .. 2) should delight our students
and teachers ..
We appreciate the complimentary
copy mailed to Campanile Library
and feel we have something really
worthwhile to call to the attention
of the science teachers.

(Sister) Evelyn Beerepoot
Librarian

John Cozzi, Librarian
Midland Avenue Collegiate
Institute
Scarborough, Ontario I
I have just returned home and have
had an opportunity to look at the
new publication CARET. I found i t
very interesting reading and, while
there was a good deal of i t I did
not understand particularly because
I am not able to live up to Jim
Widdop's calculations, I did enjoy
the whole thing.

Campan i 1e - Not re Dame

I think you are to be congratulated.

Ottawa, Ontario

With kindest personal regards, I am,

I

R. J. Flatt
We, the staff and students of the
Sheridan Technical School appreciated receiving your complimentary copy of CARET. I t is a
welcome addition to our library.
Thank you ..

V. McDouga11
Teacher-Librarian
Sudbury High School
Sudbury, Ontario 111
Thank you very much for

the two

copies of CARET.
To enable as many students as

possible to have access to these
science reviews, we have put cards
and pockets in them, and let them
out on an overnight basis.
These publications are indeed a
welcome addition to our library.

Vera M. M. Watt, Librarian
West Ferris Secondary School
North Bay, Ontario I

Thunder Bay, Ontario

I

Thanks very kindly for sending me a
copy of CARET, the La.kehead University
Science Review.
Although not a scientist myself, I
gave the magazine a careful look and
found several of its articles most
interesting.
I am particularly
delighted that you are printing
articles not only from within the
University itself, but also from
people outside the University. I
think this is a very valuable contribution to the development of ideas
in Northwestern Ontario.

James F. Foulds
MPP for Port Arthur
New Democratic Party I
The information on the colourful
"Outer Space" insert in the second
issue of CARET needs amendment and
correction:
[l] Mercury's "rotation" should read

3

�59 days (1965).

[2] Venus rotation 243 days retrograde ( 1961).
[ 3] "Space ship time schedu.le". The
times are based on a speed of 25,000
m.p.h. without considering the time
taken to accelerate to that speed
or the time to deaccelerate and
match velocities with that particular planet. Trajectories in the
solar system are approximately
sections of elliptical orbits and
not straight lines.
For minimum
energy requirements, tve have:
i
I

LEAVING
, EARTH FOR
Venus
Mars
Mercury
Jupiter

Saturn
Uranus
Neptune
Pluto

TIME

IN YEARS

VELOCITY
REQUIRED MPH

2,@

5,000

2t66

6t[JJ0

0,7b
6,05
13,03

15,000
lB,000

33ll01

22, □□□

20, □□□

62,01

23,D□□

91.aDO

2L;,OOO

J. S. Griffith
Mathematical-Sciences Department
Lakehead University I

Thank you for send.ing two copies of
CARET, Vol. 1, No. 2P for use in
our school library.
The articles will be especially
valuable to the teachers and to
the Grade XIII students who are
interested in careers at this stage
of their education.
Thanking you again and wishing you
success i.n this worthwhile undertaking, I amp

A 1969 Lakehead University
Graduate,

FIBRE - THE NEGLECTED FACTOR IN Foon
WONG ALL THE RESEARCH THAT HAS BEEN
DONE ON FOOD IN ATTEMPTS TO DISCOVER
ADEQUATE DIET;, ONE ELEMENT HAS
BEEN,, UNTIL RECENTLY,, COMPLETELY
I Gl'.QRED: FIBRE. TH IS lill.S BEEN REGARDED
t,S A CONTAMINANT y TO BE REMOVED
WHEREVER POSSIBLE.
NOW., IT IS
REALIZED THAT A NUMBER OF DISEASES

,l\N

SUFFERED BY LARGE NUMBERS OF

IN THE "WESTERN CIVIUZED"

PEOPLE

PARTS OF

THE WORLD ARE DUE TO THE REJViOVAL

OF

THE HUSKS OF FOOD, PARTICULARLY WHEAT.

Endless studies have been under taken
to determine the amounts of different
food constituents required for the
maintenance of health.
From time to
time, hitherto unrecognized requirements have come to light, adding to
the 11st of substances considered
necessary for normal body metabolism.
But in spite of this search for a
total iy adequate d ! et, one of the
major elements of all plant foods,
consumed ln large quantities by nearly
al i human races and by all but solely
carnivorous animals, has been almost
totally neglected: the fibre, regarded virtually as a dietary contaminant
and consequently removed and discarded.
Because it ls largely unabsorbed from
the 1n t e s t i n e an d so con t ri but es
little to nutrltion, the fibre has
been considered dispensable and has
barely, l f at a ·11, been alluded to
in standard textbooks on nutrition.
Stockbreeders have appreclated its

contribution to animal health,
whereas physicians and nutritionists
have almost tot a 11 y discounted any
role it may play in the human contexL

St. Joseph's College

Now, we are gradually realizing that
this 1 Cindereila 1 of diet:cs deserves
promotion to the prominent role for
which it 1,,Jas destined, as ln the case

North Bay, Ontario I

of the fairytale princess.

Sister M. Andrea

Denis P. Burkitt, MD, Dsc (hons),

WE ARE ALWAYS GLAD TO HEAR

FROM OUR READERS!

4

- Ed.itor

FRCS, FRS,
Medical Research Council, London.

�THE UNIVERSITY SCIENCE SQUAD
By A. W. Kruijshoop

INTERACTION BETWEEN HIGH SCHX)L
AND UNIVERSl1Y STIJDENTS
The University of Papua and New
Guinea, established in Port Moresby
in 1966, now has 1500 students from
a11 over the South Pacific studying
the norma1 range of subjects in all
Faculties in a modern, well-equipped
and adequately staffed institution.
Secondary education in this
country is quite a different chapter.
The High Schoo1 system is expanding
rapidly and experiences growth
pains, despite good efforts by the
Government and Church Missions. The
High School teacher may find himse1f
presented with large classes, a
lack of suitable textbooks, domestic
and administrative duties, his own
dup1 icating jobs and often incomplete laboratory equipment.
The basic High School takes four
years, but a number of schools are
now being converted into Senior
High Schoo 1s w i th a six-year programme. Biology, chemistry, geology
and physics are taught as parts of
an i nt eg rated s c i en c e co u r s e ,
developed in Papua New Guinea in
1970-71. This course is based on
experiments done by students in
sma 11 groups fo 11owed by c 1ass room
discussion with the more difficult
or dangerous experiments done as
demonstrations by the teacher. In
more advanced courses much mater i a 1
will have to be presented on the
blackboard or straight from books
because equipment is not available
or because the teacher simply cannot afford to spend days of his
time preparing a few specia1ized
lessons.
We in the University felt that
by using our expertise and equipment it sh o u 1d be po s s i b 1 e to
give more High School students an
opportunity to observe new and
interesting phenomena and to
actually perform certain crucial

experiments. With sufficient
student support (100% voluntary,
no credits or exemptions) we could
try to bring a few "morale boosting
working sessions" to schools with
road access to Port Moresby.

TI£ UNIVERSITY SCIENCE SQUAD
In August, 1972 the University
Science Squad was formed with 25
students and 3 staff members from
the Science Faculty. With each new
semester there are a few changes
in the participating student groups.
We set out to prepare a range of
two hour experimental programmes
suitable for Form Ill and IV High
School students.
The student members organized
themselves into working groups:
Mic rob i o 1ogy, E 1e c t r i c i t y a n d
Chemistry of the Elements (groups
on Mechanics and Geology are projected). Within each group, long
discussions took place to draft
demonstration out 1 i nes and to work
out the technical details. Most
work was done during weekends and
the mid-semester study breaks. Two
experienced High School teachers,
one from a Government school and
one from a Catholic Mission Schoo),
took an active interest in the
development of the Science Squad.
They attended meetings at the
University, described their own
curriculum and the difficulties
they experienced. It was recognized
that the demonstrations would be
most meaningful if they were related to the schoo1 1 s current
science programme and if the 1eve 1
of complexity was the same or
only slightly higher than that of
normal teaching.
Over the past year three Science
Squads have now made visits to
High Schools in the Port Moresby
area. I n each case, s ix to
eight University students set up
experiments in one or two High
School classrooms.
5

�The teacher divided his class into
groups of four to seven students and
these small groups then circulated.
Each University student acted as a
spec i a i i zed 11 gu i dance off i cer 11 for
one or more experiments but the High
School students were encouraged to
do all assemb1 Ing, manipulation,
instrument reading, microscope work
and calculations.
I t w a s important t ha t s t u d e n t s
were left to work out the experiments at their own pace without
interference or even observation by
teachers. They developed interest
and initiative and during all visits
continued working in a playful but
concentrated atmosphere for at
1east an ho u r
planned, i . e.

l on g e r

t ha n w a s

outside the norma 1
school hours. Another feature was
the degree of participation and
small group leadership of the girl
students at some of the schools
visited.

BRIOOING THE GAP
The advantages of Un i v er s i t y
students and High School students
getting together to do and talk
about Science are clear.
The
University students renew links
with the schools, gain experience
in an informal teaching situation
and confidence in their scientific
understanding. The High School
students see students a few years
older than themselves involved
with and enjoying Science.
Maybe this idea of (privileged!)
University students giving fresh
inspiration and assistance to
schools on a voluntary basis is
worth serious consideration 11 back
home 11 in (over - ) de v e 1 oped

countries as well?
The University of Papua and New
Port Moresby is an
extraordinary undertaking, sponsored by the Government of

Gu.inea in

6

Australia. In some ways, the
s.i tuation is not unlike that of
Lakehead University. The Port
Moresby University serves a large
area of inhospitable terrain,
populated by people with a wide
diversity of ethnic and cultural
characteristics. The University
is relatively new, and is still
searching out ways of serving its
community.
Dr. Kruijshoop has been
associated with innovative ideas
from the outset, including some
ambitious programmes to educate
the native peoples with "crash"
techniques. The University is a
going cultural concern: with the
coming of independence, it will
be a very influential force in
shaping the future of this
colourful Nation. □

A QUIET PROPULSION UNIT -

THE
OTTAWA JOURNAL OF JANUARY 12,
1974 REPORTED THAT HPL ENGINEERING OF OTTAWA WILL TEST THE
MARKET IN OTTAWA AND THE SURROUNDING AREA THIS SPRING WI TH A NEW
AIR DR IVE UNIT FOR BOATS, SNOW
PLANES AND LIGHT HOVERCRAFT THAT
IT HAS DEVELOPED.
RESEARCH
ENGINEER T. APPARAO SAYS THAT THE
QT-30 AIR DRIVE IS THE RESULT OF
YEARS OF RESEARCH AND DEVELOPMENT
AT HPL WHICHWAS BACKED BY THE
NATIONAL RESEARCH COUNCIL AND MHV
INDUSTRIES. HE DESCRIBED THE QT-30
AS A 11 COMPACT., SIMPLE OUTBOARD
PROPULSION UNIT THAT ALLOWS BOATS
TO BE OPERATED IN INCHES OF WATER'.'
IT USES .AN AIR DRIVE OR "OUTBOARD
MOTOR WITH .AN AIR PROPELLOR.AND
LIGHT - WEIGHT TWO CYLINDER AIR
COOLED ENGINE~' THE 11 QUIET THRUST
PACKAGE'' CAN BE USED SINGLY OR IN
PAIRS; IT IS BOLTED ONTO A PLATFORM
OR FRAME ON THE CRAFT. THE QT-30
WAS ORIGINALLY DEVELOPED FOR THE
SPECTRA II HOVERCRAFT OF MHV INDUSTRIES. □

�"instrument reading, microscope work
and calculations."

"getting together to do and talk
about science . . . "

THE UNIVERSITY SCIENCE SQUAD
IN DIVERS ACTIVITIES

"experiments done by students in
small groups . . . "

''participation of the girl students . . "

�Above -- Archaelogical dig in progress
at Lake Mungo, New South Wales.

Above - Measuring the radioactive
background level in an ancient aboriginal
fire place at Lake Mungo.

Dr. Mortlock with one of the sets of
thermal um inescent dating apparatus in
the Physics Department at the Australian
National University in Canberra. The
cylindrical glow oven is in the centre and
the XY recorder on the bench at the left.

Below - A disc covered with fine
quartz grains from the object under
test positioned on the heating strip
inside the glow oven.

Below - Some pot sherds from New Ire land
in the South Pacific which were subject to
thermoluminescent testing and proved to be
approximately 2,000 years old. The decoration
indicates the advanced culture of the potters.

�ARCHAEOLOGICAL DATING IN AUSTRALIA
By A. J. Mortlock

SETTING lHE SCENE
Lake Mungo is.an ancient dried up
lake located in New South Wa 1es about
70 mnes from Mi1dura and 80 mi 1es
fro1n Balranald. It is reachable from
either one of these centres by car
although the red sand country roads
involved would be dJ.ffrcult after
heavy rain. As the Lake.ls part of
private land holdings, permission to
visit needs to be sought from the
graaiers of either nearby Joulni or
Mungo Stations.
Lake Mungo is roughly five• miles
in diameter with'a long sand dune
thirty or more feet high running
around about half of its cf. rcumference on its eastern side. This dune,
called the Wal ls of China, was perhaps
fifteen feet higher in ancient ti mes
and was used by the aborigines as a
place to 1 ive when the Lake was ful 1.
Erosion of this dune by wind and rain
has exposed' a remarkable density of
aboriginal artefacts in the fo.rm of
fire places, a cremation site, hand
tools, etc. Studies of these artefacts
have· indicated that the aborigines
\-Jere in the area as long ago as 30,000
• years B.C. and probably longer.
Archaeologically, therefore, this
site is of great importance because
it represents the ear 1 i est proven
presence of man in• Australia.
Our visitwas made in a smal 1 party
complete with two excited school
chi 1d ren to coincide w i t h a 1 a r g e
sca'le excavation investigation of the
dune by Professor J. Mu 1vaney. After
a long high - speed drive across the
Hay Plain we arrived at Mi lduta which
we planned to use as a centre. The
next day we, set out for Lake Mungo
and, after some back tracking near
the end of our journey, located the
main party at the southern end of the
Walls of China.
What a fascinating •sight it was!
The nea r"".wh i te sand of the dune
stretched around and into the far
distance encircling the vast utterly

flat green floor•of the Lake. Dotted
along the dune were smal 1 areas of
uneroded soi 1 standing proud of t he
surface by a few feet, rather I i ke a
toy version of the rock pinnacles of
Monument Va 11 ey in Arizona. Here and
there were the remains of ancient
fire places in the form· of localised
collections of blackened residues.
These also could be raised up relative to the surrounding sand due
probably to the hardening action of
the original heating. Underfoot were
the shaped stone tools and she 11
fish used and eaten by the original
residents.

11-IERr'OLLt11NESCENT DATING
We unloaded our car and joined
Professor Mulvaney's group to view
the way modern archaeological
excavation proceeds. A mechan i ca 1
shovel had produced a wide"'trench
across the dune by removtlig some five
feet or so •Of over -burden and hand
work with brushes and small shovels
had taken the excavation down to
lower levels and thereby to earlier
times: the search,. was on.• for Mungo
Man. We, ourselves', got out our
radioactivity measuring ,equipment to
test background levels in the ancient
fire places. These determinations
are part of our thermo 1um inescent
dating studies ln t'hi s area. The
technique is new, absolute, and particularly applicable to fired
ceramics or baked mud from old' f i re
places. In this way, we bi.is i ed
ourselves during our stay, talking
with the archaelogists ·about the
new dating technique. Although
scientists fhemse 1ves, they seemed
fascinated by the ti'cking of the
register,on the portable monitor.
The continuing feeling one has
while one is there, however, is the
eerie connection the place has with
the undisturbed and distant past.
This feeling is added to by the vastness of the scene, the quietness,
and the apparent lack of human
habitation. One thinks of those long

9

�agob1ackfe11ows sitting by the edge
of this large isolated lake and
wonders what thoughts they had about
the sun and the night sky above. A
dream time to be sure in a place of
dreams.

ARCHAEOLOGICAL DATING USING THl:Rt-'OLlt1INESCENCE
The app1ication of the phenomenon
of thermoluminescence to the dating
of ceramic objects is a relatively
new technique which is ga 1n 1ng in
popularity because of its abso1ute
nature and the apparent ease with
which results can be obtained.
In
actua 1 fact it is not nearly so easy
as it first appears, and great care
has to be exercised to avoid mis interpreting the data and producing
wrong answers.
Thermo1uminescence or TL is the
1 i ght given off when a body is heated
due to the dissipation of stored internal energy. Black-body radiation
accompanies this TL radiation but is
distinct from it: b1ack-bodyradiation
is always present, but the TL radiation may be 11 g1owed out" during the
first heating.
The energy storage process which
is of interest to us here is due to
the presence of smal 1 amounts of
rad i oac t i v e imp u ri t i es i n the fa br i c
of the ceramic object. The part icu1ar
isotopes involved are U-238, Th-232
and K-40. Because the ha1f-1ivesare
long (~10 9 years) the fabric of the
material receives a constant dose
rate due to their presence. This
radiation ionizes the constituent
minera1 atoms.
The resulting
electrons can become trapped at other
defect centres. Some of these are
deep enough for there to be negl igib 1e 1eakage from them over archaeo 1og i ca 1 times. However, on heating,
these traps a re emptied and Tl
radiation produced. The wavelength
of this for quartz is ~4, 200 A.
When the ceramic object is first
fired during manufacture, the traps
are emptied. Over archaeo1ogica1

10

t i mes t h e y s 1ow 1 y f i 11 u n t i 1 a
second (laboratory) firing empties
them again. The strength of the
associated Tl signal is proportional to the rate at which the electrons
are emptied out of the traps. By
keeping the laboratory heating
rate fixed, intercomparison of Tl
signals can be made.

STANDARDIZATION BY ARTIFICIAL
IRRADIATION
The propensity of various
materials for the production of TL
varies. For this reason, samples
have to be irradiated with artificial
i soto·pes to measure this propensity.
We then have a s i mp 1 e e q u a t i on
based on proportions 1ead i ng us to
the age of the object:

NATURAL Tl
ARTI FI CI AL TL
=
NATURAL DOSE
ARTIFICIAL DOSE
but

NATURAL DOSE= AGE x (ANNUAL DOSE RATE)
thus

AGE = ARTI FI CI Al DOSE • NATURAL TL
ART I FI CI Al Tl ANNUAL DOSE RATE
The a n nu a 1 dose r a t e , w h i c h
should be measured for each object,
inc 1udes contributions from not on1y the object itself but from the
surrounding soil (if it has been
bur i ed) a n d cosm i c ray s .
It i s
rough 1y 0. 5 rads/yr. Determination
of this rate is perhaps the most
time consuming part of the dating
procedure.

TI-E DETAILS
The details of the app1 ication
of the technq i ue are worthwh i 1e
describing. In the case of the
dating of an art object such as a
sma 11 figure, samp 1es su i tab 1e for
testing are obtained by d r i 11 i ng
two sma11 holes in an inconspicuous part of the object, for example,
the base. The drilling operation

�provides a powder wh l ch contains
small quartz crystals inwhich most
of the TL energy is stored. In
what is knownasthe fine grain
technique, crystals in the size
range 1 to BJ.Jm are selectedbyan
l n - liquid sett l i ng procedure and
deposited on small aluminum discs.
These discs a re then p 1aced in turn
on a heating strip in what is known
as a glow oven. Each disc is then
heated in a highly pure nitrogen
gas atmosphere and the 1 i ght given
off picked up by a very sensitive
phototube. Theoutput from this is
fed to the Y-axis of an XY recorder,
the X-axis being fed with the temperature data as it r l ses at the
rate of 20°c per second to about
500°c.
APPLICATIONS
One of the simplest appl I cations
of the technique ls to the authent l city testing of ceramic art objects.
As all that is generally required
is to teil whether the object is
young or old, it is usu a 1 l y not
necessary to measure the rad ioact ive Impurity content: this can be
safely assumed. Fakes can be
eas l l y detected in this way and l t
is becoming i ncreas l ngly common
for dealers in expensive art ware
of this type to state that a particular object which is for sale
has been au t hen t i ca t e d by the
technique. There are an amazing
number of fakes about, as approximately 50% of the suspect objects
submitted for test turn out to be

young.
Other applications relate to archaeology and, in the case of the
Canberra Unit, to the testing of
artefacts from around the Pacific
Basin and Southeast Asia where the
written history is virtually absent.
The archaeology of Australia is
beginning to benef l t from the technique as it is applicable to the
baked hearth mud from aboriginal
fireplaces. Theearliestsigns of
man inAustralia are at lake Mungo

in Western New South Wales.
Ev i de nee here indicates that he
was present and able to make and
use hand tools more than 32,000
years ago.
Generally speaking, TL-test l ng
has been app1 ied with success to
objects ranging in age from 20 to
1Q5-]06years. It is being extended
to new materials of interest to
the earth scientists as 111el1 as to
old bones! These new materials
represent cha 11 enges in the sepa ration of wanted from spurious Tl
signals and also in specimen
preparation,

I Dr, Mortlock is a member of the
Department of Physics of the
Australian National University at
Canberra, He has had a life-time
of experience in the measurement
of low levels of radiation activity; and his recent excursion into
the dating of ceramics w i 11, as
his article implies, have profound
effects on the Australian archaeo-

logical scene. I
FOSSIL FISH FOUND BY OIL RIG: A 60
mill ion year old fossil, 3 inches
(8 cm) long is a species of smelt
thought to be new to scientists.
It was recently located in a
Tertiary formation 2135 m below the
seabed of the North Sea during
exploratory dr i 11 l ng in the famous
Forties oil-field. Geologists
work i n g for Br i t l sh Petro I eum
recovered the foss i I smelt from
a core sample made from the Sea
Quest dri 11 ing platform which
s ta n d s we 1 1 o u t i n deep water.
The smelt probably choked to death
swallowing head-first an eel-like
fish. The fossil has been sent to
the Na t u r a l H i s to r y Mu s e um i n
London which possesses one of the
finest fossil collections inthe
world, and which has not so far
found the pr i mo rd i a 1 s me l t I s
paral 1e1,
!ts bone structure is
being given special study.•

11

�The Bursary

A general view

THE UNIVERSITY
OF
SCIENCE OF MALAYSIA
IN PENANG

The Chancellory

The Registry

�SCIENCE WITHOUT ELECTIVES
By

R. J.

Julian

CAN THE QUESTION BE ANSWERED?
I have made the title of this paper
a question.
If I had written the
tit 1e out_ i t wou 1d have been too
long. It shou1d read 1 ike this:
Should Science Majors only take
courses in their field or should
they take courses outside their
field to become 'well rounded'
students?

There probably is no answer to
this question, but we can look at
some of the arguments and some of
the advantages of the two different
schools of thought. We can first
consider that 11 streaming 11 the
students provides them with more
time to work on their major fie1d.
(In this paper we wi11 not consider
the question as to how much mater i a 1
an undergraduate s hou 1d cover in
his quest for a degree.) The
argument is that a student can be
more broadly educated in his major
field. This means a student not only
gets what is considered a 11 basic
programme11 , but he reaches further
into his f i e 1d and becomes more
usefu 1.
The second argument is that a
student can achieve his goal in a
shorter period of time. He does
not have to 11waste t ime 11 on subjects that are not related to his
programme.

EDUCATION AFTER THE DEGREE
The a rg umen ts above are very
true but we can counter them with
some very good arguments. Let us
ask the question, "How much of a
degree programme is actually used
by a graduate?" Most industrialists
feel that in receiving a degree, a
student has proven that he can be
educated. Industry then provides
the tr a I n i ng g r o u n d f o r h i m to
become educated. If we were to

educate a student to fit into all
situations after graduation, it
would take many, many years. This
is not a student who will be productive; just one to fit into a
situation. To make a person productive, an industry plans on a
six month to two year training
period. In this time, he is not
being utilized on on1y one
concept. He is usua11y sent from
sect ion to sect ion to become
familiar with the entire system.
We can go one step further and
consider a move to another industry that is related. The systems
may be the same but the processes
wi11 surely be different. Again,
there is a training period
involved to make the new employee
fit into the new system. If
re1ated industries feel the need
for specialized training, how can
a university produce the broad
training needed to fi11 a11 the
needs of a graduate?
If we accept this argument, then

the university education should
consist of a 11 basic programme"
that 1ays the ground work for
further education. We can argue
that th i s i s a found a t i on on
which a11 other knowledge is an
extension. The basic programme is
still undefined, but let us say
that the solution of one problem
usually leads to the solution of
another more complicated problem.
I am not advocating a university
that does problem-solving. It is
the technique in so 1vi ng a prob 1em
that is important. A student must
be schooled in how to find this
technique and then how to app 1y it
to various problems. When he has
mastered th i s art , he w i 1 1 b e
considered capable of being
trainab1e in many areas of his
field.

THE EXPANDING MIND
Now let us consider the "wasted
13

�time" on unwanted' subjects. A person
must have contact ·w1 th the outside
world. He cannot closi! himself Jn a
shell made up of his major field.
Basically, he··must meet and communicate with other people. Theworld is
becoming sma 11 er and a person no
longer lives in his own little community without outside contact.
If you have never been exposed to
the world at large, you cannot communicate with Others. Educational
material outside a student's field
of study will prepare him to be
able to conrnunicate. Again, if we
accept this argument, we cannot say
that it is "wasted time" to take
courses outstde a major field.
In conclusion, both sides of the
story have a·good case. ft probably
depends On one's background as to
which one will accept as the best
solution.· Maybe a middle-of-theroad solution would benefit the
the students themost. After all,
th i s i s what educ a t i on i S a 1 1
about.
Dr.~- J. Julian is a gradu"te
of the Axi~ona State Uni~ersity,
wherE! he was awarded a Doctorate
for his work on shock waves. He
has worked. on several NASA
projects, including digital command systems. He has been a
Senior Lecturer at the University
of Scie~ce, Malaysia stnce 1971,
and has beE!n responsible for
many innovat:iops in that relatively new ;university.p

• MANAG lNG . NO ISE: POLLUTION •
BY·ANGELA CROOME
The international value of noise
research under Dr. D.W. Robin•son, at
the National Physical Laboratory
near London Airport, hc1s come into
particular prominence lately. The
endeavours to ach i. eve an acceptab 1e
noise level for cars and lorries
and to introduce standards for busy

14

airports is being tackled on a worldwide basis.
One b r a n ch of t h e NP L no i s e
research relates to the measurement
of airport noise so that mean i ngfu 1
standards may be produced for t.he
allowable din that aircraft engines
may make on take - off and 1anding.
This is when they cause the maxi m1Jm
disturbance t~ the community.
Whether Jt is a fine or a wet day
makes more difference to the propagation of noise and, therefore, to
peop 1e's percept ion thar;, a few
dee i be 1s mo.re or 1 ess in the absoJ.ute
,noise .level' of a jet engine. The
'sc,me sort. of factors&lt; apply :to the
propagation of motorway noise to
nearby ho1,15es. Dlstance away and
noise level are not of governing
importance; ac;ornfield in front of
the.house (which tends to break up
and absorb the freguenctes), and
garages ln tfie gaps,1,etween houses
(which reflect the sciund back}, have
a d,~c is i)'e) n f 1 uence. R~\iab le
'prediction ofwhat the noi~e burd.en
on p~C&gt;p 1e, w,i11 be i s.Jhe over r i Qi ng
reqt,ilrement. .
.
.
..·....
NPL work has now p rqduced a ~o i se
Pol,lution Level Index (the initials
quaintly come out NPLI !) which .rela.tes
the phys i ca I descr ipt i or, of different
noise.envi ronme11ts to the subjective
react io11 of peop 1e. It mal&lt;.es pqss ible
the prediction qf noise nuisance a.nd
the reaction to it without, for instance, having to build an a~rport
handling a jumbo jet a minute to' find
out what the neighbours will think.
t&gt;Noise pollution had low priority
at the UN Env;ironment Conference at
Stockholm. In world terms, there were
more urgent considera,1:i ons t:.o be
tackled by the international delegates. Nonetheless nois.e nuisance
is an increasing problem with a
number of international aspects.
Work on the complex character of
noise is continuing.~
,;

_,

- REPRODUCED FRCJ1 'SPECTRUM',
BRITISH SCIENCE NEWS NO. 95.

�BIOMECHANICS - Y
By B. R.

AMECHANICS

Seth

Rapid advances in cybernetics, information theory and servomechanism
are now making it possible to study
the most perfect machine in the world,
ca11ed the human body. The problem
is to be tackled by rheologists,
phvsicists, psychologists, anthropologists, etc. It is, therefore,
high time that at conferences of
scientists we pay some attention to
Yoga Meehan i cs whose frag ranee seems
to have spread a11 over the world.
This will involve both the macro and
micro fields and their interactions.
The impact of strong impulses on the
senses and the reaction of the brain
centres can form the subject matter
of many good Ph.D. theses.
Yoga ta 1k has become a fashion a 11
over the world.
Its physical and
men ta 1 benefits a re being advertised
and presented in a mystic atmosphere.
To become scientific and available
to all, it should be developed as a
contro11ed discipline. Its study is
to be objective and experiments are
to be conducted on the body itself.
AH modern e 1ect ron i c techniques w i 11
be necessary. The corrosive effect
of anger and pass ion impulses, the
retardation due to frustration forces,
the exhi1aration resulting from
success and appreciation, all need
quantitative measurement. A number
of eye 1es with definite cent res exist
in the body. Their study involves
problems of system dynamics and can
bring about appreciable harmony and
synthesis in human relationships.
Man is being pounded with all types
of forces incessantly, resulting in
i n tern a 1 con f 1 i ct , which on 1y a
scientific study can resolve. The
human body is to become a mo re
important 1aboratory than Skylab and
the thought .. waves investigated can
have ave loci ty greater than that of
1 i g ht. I s i t no t very ex c i t i n g to
know t ha t t he Con s c i o u s En e r g y
in the body i s out to cont ro 1 t he
Universe?

Yoga Meehan i cs may r eve a 1 new
laws of the following types:
[1] Every space-time point in the
universe can be explored indefinite) y due to i ts inf i n i t e connect i v i t y .

{2] A11events are neutral and

interconnected and the individual
framework decides their nature.
[3] The force of hat red affects
the source more than its target.
[4] Each event is the result of
global optimization by Nature.

I The Editor met Dr. Seth on an
Air India Viscount en route from
Calcutta to Dibrugarh, a university
town at the eastern extremity of
the beautiful tea-growing Province
of Assam. I t was not unti 1 we were
nearly at the gates of the University that Dr. Seth let drop the fact
that he was indeed the ViceChancellor.
He has since left to
take on the Directorship of The
Birla Institute where he is
responsible for charting the course
of research in applied science
which is so necessary for the
development of India. Dr. Seth is
a charming gentleman, a highly
respected mathematician, and
a skilled administrator. As his
article demonstrates, he is greatly concerned with the relationship
between Eastern and Western
philosophies: we should listen
carefully to what he has to say,
for he has much to teach us. I

"GOVERN\1ENT DEPARTMENTS, SPECIAL
ADMINISTRATIVE AREAS, UNIVERSITIES,
GROUPS OF UNIVERSITIES AND INDUSTRIAL CORPORATIONS ALL CONSTITUTE
ORGANIZATIONAL COLLECTIVITIES
WHICH MUST BEGIN TO COMMUN I CATE
ABOUT MATTERS OF SCIENCE AND
SECTORAL PARTICIPATION. IT WILL
I NVAR I ABLY BE A PROCESS BASED ON
PERSUASICX\J, NEGOTIATIQ\J AND TIMECONSUMING FRUSTRATIONS."
-

G. Bruce Doern.

15

�The Birla Institute of Technology.
"Yoga talk has become a fashion
all over the world . . . "

Dr. Khanna
"increasing lawlessness and disorder
in the universe."

Mr. Bobrov
"the planning of the national economic
development should proceed from the
outline of future scientific and technological progress."

Graham Chandler
"my actual job is a mixture of things . .

"

�THE ENERGY DILEMMA
By G-A. Gr in

ELECTRICITY AND WELL-BEING
It becomes more and more apparent
that providing Switzerland with
s u ff i c i en t e 1ec tr i c energy cou 1d
prove to be one of the serious
problems of the next decade. The
importance of an adequate energy
supply can certain 1y not be minimized
w h e n , i n 1 a r g e pa r t , the socioeconomic we11-being of the country
is at stake.

SWISS REALISTS VERSUS IDEALISTS
As elsewhere, the quest ion has
degenerated in to a confrontation
between, schemat ica11y speaking, two
categories of human beings: on the
II
11
one hand, the rea 1 is ts - or those
whose foremost concern is with the
n ea r fut u re ; on the o t he r , the
11
11
idealists - or those thinking in
terms of generations. Too often,
unfortunate1y, the debate - if one
can s pea k of a de b a t e - has been
marred by subjectiveness and
emot iona1 ism, if not a lack of
honesty or simply incompetence.
There is another pecu1iar aspect
to this matter. Although e 1ectr i city
covers only 15% of Switzer1and 1 s
over a 11 energy requirements, the
controversy centers primari 1y on its
future,and not on the situation as
a whole, characterized by a heavy
re 1 i an ce on o i1 , a 11 of i t imported .
To compound the problem, this same
portion of Switzerland's energy
supply, a1ways regarded as secure
and entirely indigenous, by virtue
of the famous mountain dams, must
now depend both on the acceptance
by the population and on foreign
supplies for the essential part of
the equipment, as we11 as the fuel.
We a re ta 1 king, of course, about
nuc1ear-fission power plants which
have been chosen as the on 1 y acceptab 1e alternative at present to
cover the ever increasing demand
anticipated for electricity.

TH: :MSIC FACTS
At this point, it might be useful
to refer to some basic facts concerning production and consumption of
e 1 ectr i city in Switzerland. What
comes out clearly is that if the
beginning of construction of a
second group of nuclear power
stations is further delayed, Switzer1and w i 1 1 face the prospect of
electricity shortages, starting in
1975-76. In this connection, it may
be encouraging to report that some
serious thinking is now devoted to
the formulation ofa national energy
pol icy, which would comprise, especia11y for electricity, generation,
distribution, and in some way,
consumption. Under consideration,
together with the siting problem of
future power plants, is the poss i b i 1 i t y o f co u p 1 i n g the n u c 1 e a r
production of electricity with
remote central heating of apartments
and offices, as we11 as industrial
use of therma1 energy.
As is we11 known, s i mi 1a r prob 1ems ,
though indifferent connotations,
are bound to affect most industrial
nations, including the United States.
What is striking also, is the
rapidly increasing international
interdependency w i th its man i fo 1d
po 1 it ica 1 imp 1 i cations, c re a t e d by
the overa 11 growing demand for
energy.
A good case can certainly be made
for trying to curb the excessive
demands for energy, especia11y as
far as 1osses and wastes are
concerned. However, it is probably
not realistic, at least not at this
stage, to ca11 for a halt to any
further increase, particu1ar1y as
regards electricity which, by most
accounts, will see its relative role
strengthened by, among other reasons,
the necessity to better protect the
environment,an undertaking which is
said to require more energy, mainly
in a 11 c1ean 11 form.
17

�OPPOSITION TO NUCLEAR TECHNOLOGY
Conversely, it shou1d be admitted
by the a 11-out proponents of nuc 1ear
energy that not a 11 of their opponents• apprehensions are i rr at i ona 1 or i 1 1 - f o u n d e d . I n d e e d ,
more should be learned and probably
disseminated on safety prob1ems
connected with the operation of ever
larger nuc 1ear power p 1ants ( for
example, the emergency core cooling
system). Even if an accident, of one
kind or another, appears high1y unlikely, it is advisab1e, especially
among professionals and men of reason, to foresee possible consequences and take preventive measures
wh i ch co u 1d i n c 1 u d e do i n g more
res ea r ch on t he s a f e t y a s p e c t s .
Among the future headaches of the
nuclear industry are the treatment
and storage of a gr ow i n g amount of
highly radioactive byproducts
generated by nuclear reactors, incl ud i ng the ext rem e 1 y tox i c a n d
Jong-Jived plutonium, the prime
fuel of the future breeders.
C1ear Jy , t he p r o b 1 em o f s i t e
select ion in Swi tzer1and has been
further complicated by the obligation to resort, henceforth - along
the Aar and the Rhine - to huge and
inaesthetic cooling towers. Only
the future wi11 tell if the government decision in the matter was
unduly conservative.
Since the time is not yet ripe
for the fast breeder reactors
(either sodium or gas-coo1ed) to
take over from the present ones
(mostly 1 ight water), the high
temperature gas-coo1ed concept
cou1d we11 p1ay a significant role
in the meantime; it is especia11y
attractive for Swiss industry, due
to its anticipated use in association with gas turbines.
Furthermore, now that the Canadian heavy
water type i s r e g a i n i n g s om e
momentum, one might doubly regret
that the Swiss reactor venture
( l u ce n s) d i d n o t fa r e t o o we 1 1 •

18

Thi s 1 i ne WO u 1d have provided a
va1uab1e interim a1ternative,
at 1east with respect to the
crucia1 fuel supp1y prob1em (natural
versus enriched uranium).

ARE NEW

TECH'JOLOGIES THE ANSWER?

New, yet-to-be-developed
technologies might he1p solve the
1ate,nt energy crisis.
We are
a 11 ud i ng h e r e no t on 1y t o c o n tro11ed thermonuclear fusion or to
magnetohydrodynamics, about which
a r ea sona b 1e 1e v e 1 o f r e s e a r c h
efforts ought to be maintained a 1so
in Switzerland (in cooperation
with other countries), but likewise
to refined classical processes and
less explored methods.
At any rate, the problem is there
and the nu c 1 ear controversy goes
on. Among the latest news on the
subject can be mentioned that the
Federal Office of Energy in
Switzerland - fol )owing in the
footsteps of the U.S. Atomic Energy
Commission -- has decided on a more
restrained ro1e than before, leaving
the utilities in the forefront of
the contention.
The double role of promoting
nuclear power generation and regulating it has 1ed to some difficult,
nearly schizophrenic, situations.
The functioning of society - its
institutions in particular - is
increasingly put under severe test
by such problems. The difficulties
probab1y 1 ie there as much as in
techno 1ogy, if not more so.
It is
undeniab1e that a commitment to
nuclear energy, as necessary as it
may be, is an act of faith in the
wisdom of man.

I Dr. Grin is Scientific Counsellor to the Embassy of Switzerland
in Washington.
1111

�HEAT, ENTROPY and LA
By K. M. Khanna

MEASURING "DISTI..ru3ANCE" IS
DIFFICULT
In the early days of science, it
was assumed that temperature is a
measure of disturba:nae of a system
and that the temperature must rise
when a certain amount of heat is
given to the system. But the processes of boi 1 ing and me 1 ting at
constant temperatures established
the fact that in some processes
heat may be added to the system,
but the temperature may not rise.
The amount of heat given to the
system at the me1ting or bo i 1 i ng
point was given the name 1atent
(hidden) heat. But this nomenclature and concept did not so1ve the
problem of the measure of disturbance which the adding of heat
brings about in the system. Certain 1y when a so 1 id me 1 ts into a
1iquid or a liquid evaporates into
a gas, its heat content increases
(it is a more loosely bound system
or its constituents have larger
amp] itudes of vibration) and the
disturbance in the system is large.
The question arose 11 lf heat is not
the measure of disturbance, then
what measures the disturbance or
disorder that comes about due to
the addition of heat to a system?"
In fact, whether heat is added at
constant temperature or the temperature changes, the disorder of the
system definite1y increases. The
quantity that is a measure of the
disorder in the system is cal led
entropy (s). If dQ is the amount
of heat added to the system at
constant temperature, T, then the
change in entropy of the system
ds = dQ/T. If no change in temperature takes place, dQ is s imp 1 y
the latent heat. If the temperature~changes, a more general equation for the variation of entropy
is obtained by the integration of

LESSNESS
the equation above
2ds = a2-s1 = f2dQ
1 T
f1

(l)

Most of the processes in the
universe are irreversible, barring
a few of them 1 i ke me 1 t in g and
evaporation which are reversible.
In an·irreversibleprocess,we do not
get back to precisely the starting
point, if we reverse the course
of events - for example, running a
refrigerator as a heat pump. Whereas for a reversible process, we do
get b&lt;jck to the starting point if
we wait long enough. The parameters
in deciding whether a process is
reversible are pressure, temperature,
heat flow and so on.

SQ\E LAWS ARE NECESSARY
Now to d es c r i be t he t he rm a 1
behavior of a physical system, we
need some laws and they are called
the 1aws of thermodynamics. A
large number of therma1 concepts
are integrated into simple looking
equations. To understand the laws
of thermodynamics, it is necessary
to have a clear perspective of the
thermal variables involved. The
equations connecting the various
thermal variables 1ead to the
different laws of thermodynamics.

THE LAWS OF THERrmYNN-1ICS
(i) ZERO LAW OF THERMODYNAMICS
It states that if any two bodies
are separately in thermodynamic
equilibrium with a third body11
these two bodies are in thermodynamic equilibrium with each other
also. It means that when two bodies
are in thermodynamic equi 1 ibrium,
the thermodynamic variables which
describe the behaviour of the body
are the same for the two bodies
19

�concerned. Of the large number of
thermodynamic variables, we have to
choose a few which could give areasonable equation that could be
called a 1aw of thermodynamics. The
The thermodynamic variables cou 1 d
be t he i n t e r n a 1 e n e r g y U , t h e
pressurep, the volume V, the
temperature T, the entropy sand so
on. If we look at the equation
of state of an ideal gas, pV = RT,
we find that the state of the gas
cou 1d be known i f we know any two
of the three thermodynamic variables
involved.
In the same manner given
a thermodynamic equation one can
find out the independent thermody nam i c v a r i a b 1 e s r e q u i r e d t o
determine the state of a thermodynamic system. Each thermodynamic
equation represent i n g a 1aw of
thermodynamics wi 11 indicate the
nature of thermodynamic variables
required to represent the state of
a thermodynamic system.
After
having said so much about the
thermodynamic state, it could be
said that the 'zero law of thermodynamics' is a self-evident fact.

(ii)

FIRST LAW OF THERflODYNAMICS

The first 1aw of thermodynamics
is just a restatement of the 1aw
of conservation of energy p1us the
add it iona 1 inforrnat ion that heat
is a form of energy. Newton 1 s 1aws
imp 1y that a 11 energy is mechan i ca 1
and that this energy is conserved.
But soon situations arose where
mechanical energy was not conserved and it was part 1y converted
into other forms of energy, 1 ike
electromagnetic energy, heat
energy, etc. and thus var i o us
forms of energy came to be known,
and the 1aw of cons er vat ion of
energy was restated by saying that
the sum t o t a 1 o f a 1 1 f o rm s o f
energy is a constant.
If an amount of heat energy dQ
is given to a system such that its

20

internal energy is increased by dU
and an externa 1 work dW is done,
then

dQ

= dU + dW

(2)

Th i s e q u a t i o n i s k now n a s the
First Law of Thermodynamics. The
changes in the internal energy of
the system a re governed by some
perfect laws which determine the
internal dynamics of the system.
Thus dU does not depend upon the
path of change. For instance, if
U is a function of any two thermodynamic variables x and y, then
whetherxchanges first or y
changes first, keeping the other
variab1e constant, the value .of
dU is the same. Expressed
ana1ytica11y

(3)
When the above equation is va1 id,
is said to be a perfect
differential. But dQ depends upon
the mode of absorption of heat,
i . e. whether heat is absorbed,
for instance, at constant volume
or at constant pressure. Hence,
the value of dQ depends upon the
path of change or dQ is not a
perfect differentia1.
Eqn. (2) can be restated in
another way also. The system can
be assumed to possess just one
pool of energy, and that is the
internal energy U.
Contribution
to U comes from the input of both
mechan i ca 1 energy and heat energy.
During any quasi-static process,
any change i n U, 1. e . d U , i s predetermined and it is equa 1 to
the difference between dQ and dW.
Thus both dQ and dW are imperfect
differentials.

dU

(iii) SECCX'ID LAW OF THERtJODYNftMICS
Eqn. (1) is said to be the
ana1ytica1 form of the second 1aw
of thermodynamics wh i ch states

�that heat cannot of itself flow
from bodies at lower temperatures
to bodies at higher temperatures.
Si nee bod i es at higher tempera~
tures wil1 have more heat content
and, therefore, more entropy, they
w i 11 be more d l so rd er 1 y. The
second law of thermodynamics
could thus be restated in the
following way:
only a more
disorderly system can spare heat
which can easily flow to a less
disorderly system and the reverse
is not possible.

ENTROPY

AND THE SECOND LAW

We now conclude our article by
correlating the concept of
entropy and the Second law of
Thermodynamics with the increasing
lawlessness and disorder in the
universe.
The concept of entropy and the
Second Law of Thermodynamics
assert that it is difficult to
convert an orderly system Into a
more orderly system by drawing
heat or entropy out of it, but
it is easy to convert it into a
disorderly system by pumping heat
or entropy into it.
Si nee most
of the processes that are taking
p 1ace in the universe are i rrevers i b 1e, and entropy increases
in an irreversible process, the
disorder or lawlessness in the
universe is increasing. It would
appear that the increasing disorder or i.aw:essness in the
universe ls a consequence of the
laws of thermodynamics and ls
thus a natural process.

Dr. K. M. Khanna is Professor
of Applied Physics at the Birla
Institute of Technology,. Ranchi,
India. H.is fields of research
are Theoretical Nuclear Physics,
Statistical Mechanics, Low
Temperature Physics and Spa.ce

Sciences.Ill

MARINE AND FRESH WATER ECOLOGY
MONITORING PROGRAMS ··• !n general, the
discharge of pollutants into lakes,
rivers, estuaries and oceans will
reduce the dlversity of animal and
plant species, causing certain
species to dominate others in the
competition for food and habitat..
By regular quantitative examination
of the animals and plants in areas
receiving pollutants, the effects
on the biotic community can be
determined.
Sessile (attached)
animals and plants are particularly
useful organisms for monitor lng
pollution. They are unable to avoid
pollutants, thus changes in their
community structure may be related
to particular pol1utants if other
control I ing and limiting env i ronmental factors are knowno

RECENT COASTAL t'lARINE AND ESTUARINE
STUDIES - B.C.
Research biologists
with expedence in intertidal and
subtidal benthic ecology have ca f f led
out ecological programs along the
Paci f le coast.
i n one study , an
assessment was made of the effects
of the sewage effluent from the
Vancouver Sewerage and Drainage
District I s o 'J t fa J l at Iona ls land.
Animal and plant communities i'Jere
mon l to red in rel at !on to the outf a 11;
sediment cher.d stry (organic matter,
nutrients and metals)and particle
size were related tofaunal distribu··
tion while wind data, together with
the resu,t of drogue studies, was
used to determ I ne the effluent dis·pers io~i An lm:ertidal baseline study
was carried out In 1973, on an area
located west of Vancouver for which
recreationa: development was being
planned. The results of the study
were used to predict the probable
consequences of t~e development. A
study being undertaken at the present
time includes an assessment of the
effects of oil refinery effluent on
marine lntert lda1 and subtidal biotic
communities, a
o

21

�AN INTERVIEW WITH GRAHAM CHANDLER ,
DEPUTY REGISTRAR OF THE UN IVERS I TY OF SALFORD, ENGLAND

f i 11ed in by the student. On it,
he is a11owed to name five universities, in order of priority:
or perhaps the first one or two
he wou 1d most 1 i ke to go to, and
the other three he is about
equa11y expectant about, and
there are various permutations
that can be indicated on the
form. In no sense does the Centre contro1 his choice.

us: How long have you been in Canada
at the moment?

C:

Six weeks.

Us: What is
visit?

C:

the purpose of your

I am here because I have a Commonwea 1th Fe 11 ows h i p f r om t h e
Association of Commonwea 1th
Universities which is part of a
scheme that they run to encourage
administrators in the Commonweal th
to v Is it one another I s countries
to find out something about
various administrative arrangements and problems.
I am here
in Canada because it has been a
country that has always interested me, in that I had a1ready
read something about experiments,
innovations and changes in the
Canadian higher educational
system. I was interested in, for
example, the University of
Toronto's unicameral system of
government and the reports of
the Ontario Commission on Post
Secondary Education. There are
many areas I wanted to find out
about.

Us: I wonder i f you could just repeat
what you said about your early
days at Aberystwyth, and then
we will take i t from there.

C:

Yes. We 11 the work was concerned
with the admission of students,
primarily; prior to the format ion
of the centra1 council.

Us: Is that a central council fox
admissions in Wales only?

C:

No, it is for the whole United
Kingdom: it serves a11 universities and an subject areas within
universities.

Us: I see well, how do the universities divvy up the students,
how do they decide who goes
where?

C:

22

They have the tota 1 res pons i bi 1 i ty for decision in that a11 the
Centre does is to ensure that
on 1y one a pp 1 i cat i on form is

Us: Now I got a bit ahead of you.
Is in fact the system changing
now?

C:

It is not changing. What I was
referring to was the fact that
I had experience in admissions
work before there was any cent ra 1
system at a11, when a11 universities were in a free - for-a11
situation, and each university
had i ts own a pp 1 i ca t i on form .
Students at the high school
1eve1 would app1y to as many as
ten or perhaps a dozen un ivers i ti es, and no one u n iv er s i t y
would know which students were
in fact coming.

Us: Can I ask whether in your opinion
i t is better to have a free-forall system ox a central system?
Or perhaps there is some even
better system that should be
adopted?

C:

I have no doubt about it; it is
much better to have a centra1
system. It is easier for the
student, it saves him time and
effort (and a certain amount of
money) ; it is s imp 1e and it is
infinitely better for the
universities because there is a
very good information system
associated with the Centre, so
they know at any one time what
is the position with regard to
any one s tu dent who hp s app 1 i ed .
They know if another university
on his list has made him an offer, they know what his rep 1y
was to that offer, and they are

�kept up to date at fortnightly
interva1s with regard to all the
students who have app 1 i ed to them
- so they are in a much better
information posit ion. The Centre
a 1so produces something ca 11 ed a
c1 ea ri ng s y s t em w h i c h a pp 1 i es
toward the end of the app 1 i cation
cycle, and which assists those
students who have not found a
place: this helps the universities
to soak up vacant places.
Us: Have you become familiar with
the Ontario high school system?

C:

Only

at second hand.

us: Have you got any impressions from
university admissions officers
and faculty members about problems
in Ontario high schools? Don't
answer this i f you don't want to!

C:

I have. What I have been told
from time to time is that things
are more difficult for your universities than for ours. There
have been great changes in the
high schools, including a departure from an examination which
involves external assessment.
There has been a move toward more
1oca1 assessment, in other words,
marking by the teachers in their
own schools. This does seem to
cause prob 1ems that we do not
have to deal with.

us: You are a university officer of
great experience.
I f you, in
Great Britain, were to face the
problem of assessing marks
obtained from a school in a
small village in the wilds of
Wales and another school nominally at the same level in
Cardiff, how happy would you
feel?

C:

I would not feel happy at al 1. I
think what might happen would be
the reintroduction of the un ivers i ty-conducted entrance examination. I t did ex i s t at one ti me,
but most universities dropped it
some time ago. If the standards
of grading in the schools were
to become var i ab 1e, the uni vers i ties would reluctantly be forced

into the position of running entrance exams. But remember, we
are stil 1 talking about an elite
system-very much so- in simple
statistical terms, a very small
proportion of the university age
group reaches university in the
United Kingdom.
Us: Yes. I think that is true. Expatriates like me tend to equate
the Canadian and u.K. systems
forgetting that the constituency
here is much wider. Going on from
this, we are introducing options
lower and lower in the system: in
other words, students are allowed to select their subjects at a
much earlier age, even now they
are already selecting subjects
at the Grade 11 level, which
means that they may be coming
into university with great gaps
in their education from our point
of view.
Now at the university
level, there is a very wide range
of options in what we call major
fields. Is there a trend towards
options in the United Kingdom?

C:

Yes, there is a trend towards
options, a trend towards the
introduction of more i nterdiscipl inary courses which in turn
wi 11 introduce a great degree of
choice. But I would not 1 ike to
say that it has gone a very 1ong
way yet. The backbone of the
un i ve rs i t y system i s s t i 1 1 t h e
standard three-year honours
degree . Ex p e r i men t a t i o n w i t h
other arrangements is st i 11 on a
moderate scale.

Us: Do you have a two - year general
degree?

C:

No. That, to my know1edge,does
not exist. We have or d i n a r y
degrees and genera 1 degrees, the
1atter with not many students in
them, usua 11 y designed as a safety net to catch students who a re
not making the grade.

Us: Is there anything in particular
that you would like to comment
on, on the general tone .... you
can see what I am trying to get

23

�for the high school students. Is
there anything you think should
be said that would be useful to
them?

C:

Weil .... I was quite interested
in the Ontario App 1 ications
Centre at Guelph.

Us: We, at Lakehead, hate it!
C: What interestedmeabout it was
that obviously in its orig l ns
it was based on a model very
close to the U.K. system .....
Us: That's right.

C:

.... but had responded since
to local situations, which has
changed its function remarkably.
The original intention was to
have a c1earing system but this
was not des i rab 1e, and now there
is a "drop and add 11 sys tern wh lch
goes a long .... a student can at
any time tel1 the Centre which
university he is dropping, and
which he is adding on. On the
whole, it reflects a situation
where there are more places than
students .... that is not to say
that we do not have this; we do
in some areas, but they are
in selected areas. They tend to
be in areas 1 ike physics and
engineering where i t is di fficult to fi11 places.

us: Our engineering situation is
is quite different from yours,
because you have two channels
by which people can get into
engineering: one through the
certificate system and the other
the degree system. I had hoped
that when the community colleges
were started here we should
produce something equivalent to
the Higher National Certificate
in engineering, but that has
not in fact happened, and the
tendency is for people who would
get HNC in the U.K. to get a
degree here.

C:

24

lncontrasttothesedi
ties,
we have very large numbers of
candidates wanting to get into
the arts faculties, social sciences, and into bio1ogica1

science; and of course into the
professional subjects like law,
medicine and dentistry. For
example, at my last university,
Nottingham, where I was very
ciose l y associated with admissions
work, the department of law admitted fifty people out of two
thousand a pp l i cat ions . I t is
still a very selective system.
There isone interesting contrast.
We have not developed the high
schoo 1 l ia I son sys tern; we do not
send represent at i v es out to
individual high schools on
a formal regulated basis. What
takes place is that most of
the schools have something which
they ca11 a Careers Convention,
and they will invite representatives of employers of all kinds
- loca ·1 government, ci vi 1 service
and various industrial companiesto send representatives to talk
about the jobs they have for
school leavers in their organ izations. Now, at the same time,
they also invite a neighbouring
university to send someone to
talk about universities, adml ssions criteria and so on. One
man win go by himself to that
school to take part in a wide
careers convention on behalf of
a 11 un Ivers it i es, and he wi 1 l be
discouraged from ta 1 king about
a particular university - including his own!
In no sense do we
have
mass invasions of the
high schools, where representatives of a 11 u n i v er s l ti es make
make their pitch.
Us: That is a very interesting
distinction. Now, could you tell
me something about your job?
C:
My present job is one in which I

look after a section of the administration of the University
Salford, which is called the
Academic Division. It broadly
covers all academic administration; that is to say the admission
of students.their records and
examinations,andit also provides

�the committee secretariat for
the Senate and its subcommittees.
There is another division which
looks after the Council Secretariat, equivalent.to the Board
of Governors and is also concerned with central services
I i ke te 1ephones and ma i 1 sys terns
as wel 1 as doing all thee.personnel work. There is ~{f4r-t#lef'.
Finance O i v i s ion, wh i:~'h. deals
with pay ro 11 and s i miJst i tf!~S.
The difference befireen ,(&gt;ur ...
system and yours is that there
is rather more of the tradition
of the professional civil service
in the universities; the Vice
Chancellor is the equivalent. to
your President, he is the senior
administrator. He is almost always a man of some academic
distinction. Below him are
• the administrative staff. The
usual situatio~ is that the officers are professional administrators and not academics.
The Registrar at my institution
is the single senior officer
be1owtheViceChancellor in the
administrative structure and he
in turn has a number of deputies
· wh9 look after those areas. thc1t
I have describecft Very briefly,
my job is a mJxture of things
that f:.1:io in iny capacity of
Secr~tary of Senate ( I prepare
tl}e,..;.:~·gend, ;,~d expedJte the
busJnes!{ of S~nate) and fa 1so
haveasupervisory role in)hat
have r:i ine graduate ass ist~nts
who d·ivfde tlJe .. wqrk among thems ..
j i s . Tm'e y ·: b r i n~g· ·m7:,, he Jr
prtiblems. from t im.e.·tq timrt·......... .

r

~J

f

Y,s:, ·:cp a;J~t""e u~:!V,J?£$,i. ty ?J,f{,,:r.~'/tlla.f::c.
wou;/;,'1,1tl&gt;e ~v.iyi,1E?nt; t;o&gt;., Vi.::9e
Pr~s!1dent;;, ... tha1ttis wnaa,+t . w.ould
a~ui-Jt &gt; 1;/;, .:_ y~"u do ~~j ,~ v~ t&lt;i&gt;
comment!

C:

I agree.

Us: Could we come back to the tran-

sition from high school to
university for a moment? We
have the concept of schooling
in Great Britain; that students
are very much "streamed" and

that when a student comes to the
end of high school, he knows
exactly what stream he wants to
enter in the university, and
what degree he can look forward
to, how long he has to take and
whcJ,t job he wants after he
'''fitI,.shes. Is this true, or is
it' a fa.,~se impression?

C: • ft ls something of an exaggerat h&gt;.n. There is no doubt however
that.h~ is streamed into rather
qroad "streams; that is to say'
that by the t i me the student
gets. t.&lt;&gt;. what wou 1 d be the
eg~'l"~fibt of your Grade 13,
oui,,,Jxth form, he has made
cerfa:la\f i na I choices about
:$ttl&gt;J ~c:t;s of study, and broad 1y
S'peakiri!h it is still true that
he will be, for example, very
much on the science side, and
will typically be reading ....
Us: what do you mean by "reading;'?

C:

' 1studying 11 ! ''takl'ng 11 ! ... three
main school subjects, in which
he wi 11 be examined by an external examiner.
If he is on
the science side, he will
probably be taking something
1 ike chemJ s..t ry, physics and
math~!}laflf~J,or chemistry,
physlcs,.an&lt;f:,ef&gt;io.logy. A student
on the arts side wi 11 ~e t°'ki ng
three arts subjects, for example,
Engl i'sh, history .a nd;pe rhap s
geography. Jneseare national
exams. which qualify for a
·general certifi.'cate of Education,.
•
•

Us:';';:see•f;batwe have run out;cof
,f':i.me: there will be a lot"·.c;o:f
questi:orls stir.ring i11 the mJ~d;
of qur readers, and I hop~ they
,"(:il°.lt'write in aJ?put them.I/appy
.:,I,a.n.q~,ngs ! □
••
.,,,,,,

fl • • • I THOUiHT THAT THE SCIENCES CONTAINED IN BOOKS ... COMPOSED AS THEY
ARE ... ARE FURTHER REMOVED FROM
TRUTH THAN THE SIMPLE INFERENCES
WHICH A MAN OF GOOD SENSE . . . DRAWS
RESPECTING THE MATTERS OF HIS
EXPERIENCE ... fl
Descartes.

25

�In the U.S.S.R. research work is becoming a necessary element of college curricula
from the first year of study. There are now over 200 students' design groups which are
fulfilling the orders of different mills and factories.

A university and dozens of colleges and
vocational schools graduating students in
over 150 fields have been opened in
Kirgizia (Kirgiz S.S.R.) where people did
not have their written language before the
re vol u ti on.

A practical lesson in the water problems
laboratory of Frunze Polytechnical College.
(Kazakh S.S.R.)

�THE ORGANIZATION AND MANA E ENT OF SCIENCE
IN THE U.S.S.R.
By

E.S.

Bobrov

SPEED UP OF
SOUGHT

SCIENTIFIC PROGRESS IS

In describing the current system
of the organization and management
of Soviet Science, let us start
from the administrative agencies.
In the USSR Supreme Soviet - the
highest organ of 1eg is lat ive power the functions of deputies' control
over the elaboration and imp1ementat ion of scientific pol icy are
discharged by the Standing Commission of the Soviet of the Un ion
and Soviet of the Nationalities
for pub 1 i c education, science and
cu l tu re. A t t he i r s e p a r a t e and
joint sessions, the commissions
of both chambers hear reports by
the chiefs of ministries and
departments on their activities in
managing scientific and techno1ogica1 progress.
The main functions in the field
of managing the development of
science and technology a re discharged by the USSR Counci 1 of
Ministers, the highest organ
of executive power. Today there is
hardly a section of the Council of
Ministers' activities unrelated,
directly or indirectly, to the
problems of science and technology.
According to the Directives of
the 24th CPSU Congress, the chief
goal of the 9th Five-Year P 1an
{1971-1975) is to ensure a
substantia1 growth of the people 1 s
1 iving and cultural standards on
the bas is of the high rate of
development of socia1 ist production, its growing efficiency,
scientific and technological
p r o g res s, and the a cc e 1 e r a t e d
growth of Jabour productivity.
Proceeding from this, the
Directives provide for speeding
up the rates of scientific and
technological progress, ensuring
the imp1ementat ion of a single

technical pol icy, developing fundamental and app1 ied research in
every way and int rod uc i ng t he i r
resu1ts into the national economy
more promptly.
These tasks have been set, on the
whole, to three state organs - the
State Committee of the USSR
Council of Ministers for Science
and Technology (GKNT), the State
P 1an n i n g Comm i t tee o f t h e US S R
Council of Ministers (GOSPLAN of
the USSR) and the USSR Academy of
Sciences (AN of the USSR). While
the USSR Academy of Sciences, the
country's top scientific institution, coordinates fundamental
research; the USSR State Planning
Committee plans the use of the
achievements of science and
technology and carries on a single
state scientific and techn ica 1
po1 icy.

PLANNING DEVELOPMENT
The State Committee of the USSR
Council of Ministers for Science
and Technology determines the main

trends of the development of
science and technology in the
count ry , o r g a n i z e s r e s e a r c h i n to i n t e r - b r a n c h s c i e n t i f i c and
techni ca 1 prob 1ems, ensures the
growing effectiveness of research
and a prompt use of the achievements
of science and tech no 1ogy i n the
national economy, organizes scientific and tech n i ca 1 information
and carries out international
scientific and technica1 cooperation. The State Committee for
Science and Technology g i v es
technical and economic appraisal
to the level of deve 1opmen t of
science and technology in individua1 branches and takes measures for
speeding up scientific and technological progress and for development of the scientific organization
of 1a bou r i n the co u n t r y . I n p u r suance of these aims, it selects,

27

�jointJy with the USSR Academy
of Sciences, Ministries and Departments, the most promising resu1ts
of fundamental research, organizes
their realization by the branch
research i n st i tut es and the designing bureaus, maps out the
fields of application and the
met hods of i n t r o d u c i n g r e s e a r c h
findings into production. The State
Commit tee for Science and Techno 1ogy
pays special attention to contro1
the ti me 1y int rod u ct ion of the
achievements of science and
technology which are of the greatest
importance.
The ro1e played by the State
Committee for Science and Techno1ogy
as the leading organ of state
policy is confirmed by the fact its
Chairman is Vice-Chairman of the
USSR Council of Ministers, a member
of the Centra 1 Committee of the CPSU
(CC·CPSU), a member of the USSR
Academy of Sciences. Howe v e r , the
entire work of the State Committee
is co11ective. The resolutions of
the State Committee are adopted by
its board which, besides the highranking officials of the Committee
it se 1f, i n c 1 u des author i tat i v e
representatives of the USSR
Academy of Sciences, Ministries and
Departments. In his work, the
Chairman of the State Committee for
Science and Technology has the assistance of his deputies on various
prob 1ems; in turn , the de put i es
are in charge of departments and
functional boards and a 1 so the
composite departments of the scientific and technical p1an.

than 5500 members of councils and
their sect ions, of whom 1 60 a re
academicians and corresponding
members of the USSR Academy of
Sciences, more than 1000 doctors
and 1600 candidates of sciences.
The 1earned counc i 1 s hear and
discuss reports by chiefs of
technical boards of ministries
and departments, directors of institutes and individual scientists
on the state of research into
various problems in the USSR and
abroad. They map out the basic
research trends in the interests
of the earlier solution of the
prob1em, work out recommendations
on the ways of the practical use
of the resu 1ts obtained and of the
latest scientific and technical
achievements, adopt decisions on
stopping the research jobs which
have no prospect of success. It
is obvious that such problems cannot be solved on a mere1y administrative basis, and the counci1s
play an especia11y great role here
as the organ of scientific examination.
In their activities, the learned
counci 1s of the State Committee
for Science and Technology are
connected with the learned counc i1 s
of the USSR Academy of Sci enc es
(many leading scientists are members of both counc i 1s), with the
scientific and technical councils
of Ministries and the appropriate
branch boards and departments.

1-DLDING THE REINS ON RESEARCH

Ranking very prominently in the
work of the State Committee for

learned counci 1s, dea 1 i ng with
key comp 1 ex and i n t e r - b r a n c h
prob1ems, play an important ro1e in
the work of the State Committee of
the USSR Counci 1 of Ministers for
Science and Technology. Working in
these research and consu1tative
organs on pub 1 i c 1 i nes are more
28

Science and Technology, under the
USSR Council of Ministers, is the
dissemination of advanced scientific and technical experience, the
organization of an effective system
of scientific and technical information. Under present conditions,
such a trans fer of "know how" on a

DISSEMINATION OF THE RESULTS OF
EXPERIENCE

�11

horizontal 11 p1ane is no 1ess, if no
more, important than that on a vertical plane, from the birth of a new
idea to its rea1 ization. The reduction of the 11 sc i ence-product ion 11
culture wi11 be of little use if the
1atest achievements of science and
technology remain in the possession
of one industry or of one enterprise.
The Committee for Science and
Technology is supported in this sense
by the USSR Exhibition of National
Economic Achievements, the All-Union
Scientific and Technica1 Information
Centre, the A11-Union Institute of
Scientific and Technical Information
(VINITI), the State Public Scientific and Technica1 Library.
.
The Chief Committee of the USSR
Ex h i b i t i on of Na t i on a 1 Eco n om i c
Achievements, joint1ywith the State
Committee for Science and Technology,
systematica11y conducts contests
for the best solution of major
scientific and technical problems,
and awards the winners with medals,
dip1omas and prizes. The Exhibition,
situated in one of Moscow's most
picturesque parks, propagandizes
advanced experience and new developments in the field of science,
techno1ogy and production among
representatives of a 11 the repub 1 i cs
and territories of the country
visiting it. The paviJions of the
Exhibition are specialized in the
branches of the national economy,
science and technology. Lectures,
seminars, and f i 1m shows are
arranged for the visitors.
The State Public Scientific and
Techn i ca 1 Library is the main sci enti f i c and technical library of the
USSR. It offers its subscribers the
leading periodical and non-periodica1 pub1 ications in a11 the spheres
of knowledge pub1ished in the USSR
and abroad. The Library carries on
extensive methods and bibliographica 1 work. Bes i des , i t f u 1 f i 1 1 s
orders for the making of microf i 1ms and various copies from the
materials in its repositories.

The A1 1- Un i on S c i en t i f i c
and Technical Information Centre
plays the main role in the
organization of specialized
information in the field of
science and techno 1ogy, which
inc 1udes the information of a
branch and departmental character.
S t o r e d i n t h e Ce n t r e a re can di dates I and doctors' theses in
the field of science and technology,
reports on the completed research
jobs or those sti11 in progress.
The A1 1 - Un i on I n s t i t u t e o f
Scientific and Technical Information complements the activities of
the Centre. It co11ects and gives
pr i ma ry an a 1y s i s n o t o n 1y t o
s pee i a 1 , but a 1 so genera 1 i n formation in the field of science,
technology and economics. The
VINITI is in a doub1e subordination
to the State Committee of Science
and Technology and to the Academy
of Sciences and meets the needs for
information for fundamental and
app 1i ed s c i enc e and product i on
alike. The institute publishes
journals of abstracts on various
fields of knowledge and on industrial economics, including the
organization and financing of
research projects, as we 1 1 as
express information and other
materials, including the "Scientific and Technical Information"
monthly.

INFORM!\TION NECESSARY FOR PLANNING
The Directives for the 9th FiveYear Plan of the USSR's economic
development provide for setting up
in the country a single state
system of scientific and technical
information. In their reports at
the 24th CPSU Congress, L. I. Brezhnev, General Secretary of the CC·
CPSU, and A. N. Kosygin, Chairman
of the Council of Ministers of the
USSR, stress a close interconnect ion between the improvement of the
system of scientific and technical
29

�information and the improvement
of the p1anning and economic management standards in the present-day
conditions. 11 0ur p1anned economy",
A.N. Kosygin stressed in his report,
11
makes it poss i b 1 e to create a
n a t i on w i de a u tom a t e d sys tern of
information co11ection and processing
for the planning and management of
the nat iona 1 economy on the basis
of the state system of computing
centres and a sing 1e automatic
system of communications in the
country". The Directives provide
for the improvement of scientific
and technica1 information and for
the systematic transfer of data on
the scientific and technica1
achievements and advanced experience
in the field of technology, production processes, the organization of
product ion and management to the
branches and enterprises concerned.
It is necessary to deve 1 op and
introduce automatic systems of the
p Janning and management of branches,
territorial organizations, associations, enterprises; and to ensure,
from the very beginning, the
organizational, methodological and
technical unity of the nationwide
automated information system.
Automatic process control systems
are to be introduced in industria1
enterprises. In the course of 1971
to 1975, we sha11 introduce no less
than 1700 such systems in industry,
agriculture, post offices, in the
trading network and on transport.
The State Committee for Science
and Technology and the Scientific
Information Centres subordinated
to it p 1ay the 1ead i ng ro 1e in the
development and rea1ization of the
sing1e system of scientific and
technical information. The introduction of this system wi11 make
it possible to make a much fuller
use of electronic computers and
of the work of the ever growing
number of people employed in the
sphere of information supp1y to
science, techno 1ogy and production.
30

The single system wi 11 cater
not on 1y to t he 1o ca 1 and
regional computing and information centres, but a1so to the
automatic control systems (ACS).
In the f i na 1 an a 1 y s i s , th i s
system is to become the basis
of the scientific management of
the nationa1 economy and of the
very scientific and technological progress by ensuring the
fastest and fu11est possible
trans1ation of the last word of
fund amen ta 1 s c i e n c e i n t o t he
1anguage of practice.
The state system of scientific
and technical information set up
in the USSR comprises 10 A11Un ion, more than 18 0 branch
republican and territorial institutes or cent res and about
9000 departments or bureaus of
scientific and technical information at industria1 enterprises
and in organizations. They have
accumu 1ated more than one bi 11 ion
units of reference and information materia1s reflecting
the achievements of science,
technology and advanced experience. E1 e c t r on i c comp u t e r s ,
e q u i pm en t f o r ma k i n g mi c rof i lms, e lectrograph i c and other
kinds of copies are used in the
search for, collection, storing
processing and transfer of information.
The task now is to keep
enhancing the purposefulness of
information, to differentiate its
spread, depending on the requirements of the given research
institution or industrial
enterprise. The USSR Council of
Ministers has made it binding on
all the information services of
the co u n t r y to s u b mi t to the
p 1ann i ng organs , mi n i st r i es ,
departments and enterprise
managers, every year, materials
on the major Soviet and foreign
achievements in the field of
science and techno 1ogy. This

�information is taken into account in
working out and considering the
plans of national economic development.

t~ese p1ans and organizes, joint1y
with the USSR Academy of Sciences,
economic research in respective
fields.
The USSR Academy of Sciences is

REGISTRATION OF EXPERitJENTS
ObJ igatory state registration is
be i ng i n t rod u c e d not on 1 y of com~ 1et ed experimenta1 and designing
Jobs, but a1so of those in progress
and even those t ha t have just been
started. Ministries and departments,
the USSR Academy of Sciences and the
Counc i 1s of Mi n i s t e rs of Un i on
Republics have been instructed to
exercise control over the continuous
and uninterrupted inf 1 ux of this
information. The automatic subsystems of the co11ection, processing,
storage and transfer of scientific
and t e c h n i ca 1 i n f o rm a t i on a r e
coup1ed with the automated systems
of production management. Such a
combined system is already functioning in the instrument-making
industry, for instance.
The USSR State Planning Committee

(GOSPLAN of the USSR) p1ays the
1eading role in the system of
national economic management. Its
main job is to work out p1ans
ensuring the proportional deve1opment of the Soviet nat i ona 1 economy,
the continuous growth and increasing efficiency of pub1 ic
production. The USSR State Planning
Committee is paying an ever closer
attention to the planning of the
use in the nationa1 economy of the
achievements of science and technology, to the output of technica11y
perfect machinery, to the mastering
of modern production processes,
comprehensive mechanization and
automation of production, to the
use of economic and ma themat i ca 1
methods, computers and automatic
planning systems, as we11 as the
systems of automatic management and
information processing. The USSR
State Planning Committee exercises
contro1 over the fulfi 11ment of

the main organ for the management
of fundamenta 1 research in the
sphere of natural and socia1
sciences in the first place. It
determines the basic research
trends and coordinates the
efforts exerted in this sphere by
its institutes (the Institutes of
the Academies of Sciences of the
Union Republics and branch
academies, the Academy of Medi ca 1
Sciences, the Academy of Pedagogica1 Sciences, the Academy
of Construction and Architecture,
the A11-Unioh V. I. Lenin
Agricultural Academy) and a1so by
higher educational establishments
and the biggest research institutes
of various departments. The chief
tasks of the USSR Academy of
Sciences are as follows: to
develop research a1ong the main
trends of natural and social
sciences, to carry out research
work in the interest of scientific
and technological progress in the
field of electrification, comprehensive mechanization and automation of production, the use of new
power sources and new methods of
energy conversion; the bringing out
of the entirely new possibilities
of t e c h no 1o g i ca 1 p r o g r e s s , the
drawing up of recommendations for
their use in the national economy;
the study and genera 1 i za ti on of
the achievements of world science
and the promotion of their ful1est
possible use in practice.

D~OCRATIC PRINCIPLES
The activities of the USSR
Academy of Sciences a re based on
democratic principles. Its highest
organ is the general meeting of the
Academy, convened at ]east once a
year, with the full members,
31

�honorary members and corresponding
members of the Academy of Sciences
taking part. The Presidium is engaged in organizational work and
the day - to - day management of the
Academy's subdivisions. The Presidium is comprised of the President,
Vice ... President, the Chief Learned
Secretary of the Presidium, academicians- secretaries of the divisions
and other members; the number of
which is set by the Genera 1 Meeting
of the Academy. The Presidium
convenes General Meetings, endorses
the plans of work in the fie1d of
na t i ona 1 a n d s o c i a 1 s c i en c e s ,
joint1y with the State Committee
for Science and Technology and the
USSR State Planning Committee,
sets up learned councils for
dealing with the key complex
problems, sets the research trends
and specializations of institutes,
takes measures for ensuring the
use of research findings in the
nationa1 economy. The Presidentof
the USSR Academy of Sciences
supervises the activities of the
Union Republics through its
Coordination Counci1.

THE ACADEM'f
The USSR Academy of Sciences has
16 departments united into 4 sections (3 natural science sections
and 1 social science section). Each
department of the Academy i s the
scientific and organizing centre
of one or sever a 1 sciences and
carries out scientific guidance
of the institutes of the respective specialization. The
highest organ of the department is
its genera 1 meeting. The department bureau is headed by an
academician-secretary.
The branches of the USSR
Academy of Sciences and research
centres in Autonomous Repub 1 i cs,
Territories and Regions have the
administrative organs of their
own (Pres id i urns) and are coo rd i -

32

nated by the Presidium of the USSR
Academy of Sciences. The Siberian
branch of the Academy of Sciences
is subordinated not only to the
Presidium of the Academy, but also
to the Counci 1 of Ministers of the
Russian Federation and shares the
scientific guidance of its
institutes with the respective
departments of the USSR Academy of
Sciences.
Besides the national level, we
can a 1so speak of the branch 1eve 1
of science management - the level
of ministries and departments. At
this leve 1, the requisite rates of
industria1 development and labour
productivity growth are ensured,
a single technical po1icy is
carried on, the latest advances of
science, technology and advanced
experience are introduced, the
techn i ca 1 and economic performance
of production is enhanced and a
scientific organization of Jabour,
product ion and management, ensuring
the maximum use of the knowledge
and experience of the employed is
introduced.
The ministries and departments
appraise the techn ica 1 and economic
1eve1 of production achieved, map
out ways of the most effective use
of the achievements of science and
techno1ogy, exercise control over
the work of research and designing
organizations for their branch
In most cases, these organizations
are subordinated to branch central
boards,except the organizations
dea1ing with the problems
confronting the whole Ministry;
such organizations are subordinated
to technical boards. In the
Ministry of the Gas Industry of
the USSR, for instance, the techn i ca 1 board manages a 11 the research and designing organizations
of the branch.
In its work of guiding the
research and development work,
the administration of ministries
and departments has the coopera-

�tion of technical councils which employ the most prominent specialists
in the given sphere as experts.
The ministries and de pa rt men t s
organise, in close contact with the
State Committee of the USSR Council
of Ministers for Science and Technology, the scientific and technical
propaganda and information service,
which is usua11y combined with the
service of technical and economic
ana 1ys is and the patent and 1i cence
service, and maintain contacts with
foreign countries.
The Soviet science management
system contributed to the rational
arrangement of the network of
research institutions and centres
in the country, to the organization
of fundamental and applied research
and development work. A controlled
system of research activities - the
so-ca11ed mode1 of development,
unparal1e1ed in the developed
capita) ist countries -was set up in
the country. The system is of great
interest to the deve1oping nations.
As di st i net from the majority of
Western countries, fundamental research in the Soviet Union is
concentrated mainly in the institutes
of the USSR Academy of Sciences,
the Academies of Sciences of the
Union Repub1ics and of the branch
academies; h i g her educ at ion a 1
establishments play a more modest
ro1e than in the USA, Western
Europe, Canada or Japan.
The
Soviet Union is by right ca11ed
abroad a country with the 11 academic syste~• of research organization. This is directly connected
with the role played by the
Academy of Sciences of the USSR,
in the first p1ace, in the guidance
of research.
The tota1 number of research
es tab 1 i shments in the USSR grew
from 2359 in 1940 to 4985 in 1970,
that is, more than doubled in the
past 30 years. An espec i a 11 y
striking numerical growth was
registered by research institutes,
their branches and divisions - a

form of research organ i z at ion
which Russia's advanced scientists
had urged way back before the
October Revolution. As of late
1970, the USSR Academy of Sciences
had 234 research institutions which
employed 35. 1 thousand researchers,
including 693 academicians, ful 1
members and corresponding members.
Altogether, the system of the USSR
Academy of Sciences, the Academies
of Sciences of Uni on Repub 1 i cs
and bra n ch a cad em i es comp r i s es

862 research establishments, employing 85.9 thousand research
associates.

HIGHER EIXJCATION
Higher educat iona 1 es tab 1 i shments
-universities in the first placeare closely connected with the
system of academic research
institutions. It is noteworthy,
that in the USSR, as distinct,
for instance, from the USA,
institutions of higher learning
offer four to six - year courses
of training to graduates of
ten-grade secondary schools. The
total number of higher educational
establishments in the country was
811 in the 1971/72 academic year.
The emphasis was ]aid on the
deliberate regulation of the number
of higher educational establishments while raising their quality
standards through the modernization
of study programmes, improving the
qualifications of professors and
instructors, the provision of more
experimental and training faci1 ities to the higher school, the
drawing of even more instructors,
post graduates and students into
research work. At present, about
one-third of all Soviet research
workers are concentrated in the
higher schoo 1.
In a number of 1 ead i ng higher
educational establishments,
junior students are drawn into an
active participation in research
33

�and designing work. Rich experience
has been accumu1ated in this fie1d by
the Novosibirsk State University, the
Moscow Physica1-Technica1 Institute,
Moscow's Bauman Higher Technical
School, and the Moscow and Leningrad
Universities.
The activities of students• scientific societies have gained in scope;
their membership at the leading
higher educat i ona 1 establishments
accounts for about a third of the
total student body. The growing
standards of these societies' work
can be judged at 1east by the fact
that more student papers (especia11y
those by senior students) are of
considerable scientific and practical
importance.

FUTURE SCIENTISTS AND ENGINEERS
The future gifted scientists and
engineers show their abilities whi1e
st i 11 at s c hoo 1 . I t i s on 1y na tu r a 1
that serious attention is paid to the
timely revelation and cultivation of
these abilities. Various faculties
of Moscow's Lomonosov University arrange yearly contests in which senior
school pupils take part. Pupils are
invited to the University's
scientific circles, the members of
which are given priority in enrollment. The circle set up by the
Faculty of Mechanics and Mathematics
of the Moscow University, for instance,
has been functioning successfully for
many years now. Prominent scientists,
academicians, corresponding members
of the USSR Academy of Sciences and
professors devote much of their time
and energy to the training of gifted
young people. Many leading scientists
of the Siberian branch of the USSR
Academy of Sciences take an active
part in conducting the so-ca 11 ed
summer schools in the Academic Town
every year, to which the winners of
scientific cont es ts by correspondence
are invited. The most gifted of
them are accepted by the boarding
school of the Novosibirsk State
University.
34

Together with higher educational
establishments, academic research
institutions make up less than onethird of the total number of the
country•s research bodies, but it
is they that create the 11 sc i ent if ic
backlog 11 which ensures the development of science, technology and
production. New ideas are made a
reality by a vast network of branch
and other app 1 i ed research institutes
and designing bureaus, plant laboratories and scientific - industrial
associations.
The 24th CPSU Congress paid most
serious attention to the problem
of speeding up the introduction of
the latest achievements of science
and techno1ogy into production.
A programme of economic, 1ega1 and
organ i zat iona 1 measures for the
solution of this problem was worked
out. The basic organizational form,
making it possible to carry out the
whole complex of the measures planned i s the s c i e n c e - i n d u s t r i a 1
association headed by the director
of a research institute. It is precisely the institute, and not the
p1ant, that plays the decisive ro1e
in determining the technical policy
and strategy of the scienceindustrial association.

SC IENCE - INDUSTRIAL
AND PROOOCTION ASSOCIATIONS

MNNffAGES OF

The associations showed their advantages in the early years of their
existence. In the science- i ndus t ri a 1
associations of Leningrad, for instance, the duration of the 11 science
product ion 11 eye 1e was reduced to
one-third or even to one-fourth
as compared with the enterprises
which have not joined the associations. labour productivity grew
remarkably and personnel fluctuation
was reduced. Science-industrial and
production associations have a great
future ahead of them in the epoch of
modern scientific and technical
revo1ution. The most important thing
is that these associations open up

�broad prospects of the effective use
of modern automatic control systems.
The experience of Soviet sciencei ndus tr i a 1 and product ion associations
confirms that such systems produce
good results given a sufficiently
efficient and substantiated organizat i ona 1 s t r u ct u re , we 1 1 - adj us t e d
communication channels and an
unhindered influx of information.

The system of organs of the state
management of science in the USSR has
worked out and implemented, wlth the
support of the broad scientific and
technical public and all the working
people, a smoothly operating system
of the organization and management of
research work in the country. This
system is an organic part of a broader
system of national economic planning
and constitutes its ever more important e 1ement.
Fol lowing the principle accepted
in the USSR, the planning of the
national economic development should
proceed from the out 1 i ne of future
scientific and technological progress.
Therefore, branch and comprehensive
forecasts of sclentif ic and technological progress and long-range
plans based on them are drawn up.
These plans serve as a foundation of
the State Five-Year Plan of research
and of the utilization of technical
and scientific achievements in the
national economy and also of coordination plans for solving basic scientific and technological problems
which are presented in more detail
in the appropriate branches and
organizations. These plans, in turn.
serve as a basis for the yearly
plan n in g of s c i en t i f i c and techno 1oq i ca I progress alt along the
line - from the country as a whole
down

t o an

i n d i v i d u a 1 re s ea r c h

institute, a designing bureau or an
industrial enterprise. I
Mr. Bobrov was born in 1925 near

Moscow. He graduated from Secondary
School in 1943 and joined the Air
Force where he served in the
capacity of fighter-bomber pilot
unti.1 1948.
In that year, he
entered the Moscow Civil Aviation
Institute and graduated from i t
a dip.lama in Electric and Electronics Equipment in 1954. Between
1954 and 1961 he served in various
capacities with the Electric
Industry, mainly in quality
controJ departments. In 1961 he
joined the Foreign Trade Ministry
and in 1962 was posted to Great
Britain as Chief Inspector responsible for Soviet orders with
British electric and electronics
firms. In 1966 he was called back
to Moscow and for a short period
served in the Scientific and
Research Institute, Ministry of
Civil Aviation as Assistant Director
of the Technical Information Branch.
In 1967 he joined the State Committee for Science and Technology
of the USSR, and in November 1 9 6 8
was posted to Canada in the
capacity of Counsellor of the Embassy
(Science and Technology). He is
married with two children, 16 and
20 (son and daughter). His hobbies
include tennis, fishing, skiing and

camping.

Ill

EIXJCATIOO IN THE THIRD WORLD -

THE

PEARSON COLLEGE OF THE PAC I FIC IS
THE TH I RD IN A NETWORK OF UN I T ED
WORLD COLLEGES CREATED TO PROMOTE
INTERNATIONAL UNDERSTANDING THROUGH
EDUCATION AND TO PROVIDE A PATTERN
OF EDUCATION TAILORED TO THE NEEDS
OF THE TIMES.
THE PIONEERING
UNITED WORLD COLLEGE OF THE ATLANTIC
WAS ESTABLISHED IN WALES IN 1962.
A SECOND COLLEGE,. THE LJWC OF SOUTHEAST ASIA,. OPENED IN SINGAPORE
LAST YEAR. THE ULTIMATE PLAN IS TO
HAVE SIM I LAR COLLEGES IN EVERY
MAJOR REGION OF THE WORLD. THE
GRADUATES ATTAIN AN INTERNATIONAL
BACCALAUREATE,. RECOGNIZED BY ALL
CANADIAN UNIVERSITIES.

35

�A GEOLOGIC TRAVERSE ACR SS AFRICA
By John S. Mothersi11

11-IE Lir+IOLOGY OF LAKE SUPERIOR
Lakehead University is in the
fortunate position of being on the
doorstep of one of the 1argest natura 1
1abs i n the wo r 1 d - La k e Sup e r i or.
The opportunities for scientific research on Lake Superior are 1 imitless
and since becoming a facu1ty member
of the Geo logy Department at Lakehead
University in 1966 J have carried
out 1 i mno 1og i ca 1 stud i es of Lake
Superior in conjunction with the
Canada Centre for ln1and Waters.
These studies included physica1 and
geochem i ca 1 research of the lake
bottom sediments, interaction
processes of the sediment-water
interface and the chemistry of the
Jake waters.
The dee is ion to spend my sabba ti ca 1
leave inAfrica was not difficu1t to
arrive at, for a number of reasons,
not the 1east of them being the
opportunity to do comparative
research on lakes Victoria and Chad.
Most of the time, from graduating
from Queen•s University to taking up
a position on the facu 1ty of Lakehead
University, I had spent with an
international oi 1 company carrying
out o i 1 exp 1o r a t i on i n the Mid d 1e
East , A f r i ca , Sou t h A f r i ca a n d
Europe. Having lived in West Africa
for several years I was aware of the
extreme housing shortage in most of
the African countries. As I was being
accompanied by my family, this
presented a problem to which,
fortunately there was a solution. As
most universities in Africa provide
housing for their facu 1ty and senior
staff, I wrote to Makerere University, Uganda, and the Universityof
N i g e r i a , N i g e r i a i n d i ca t i ng my
interest in carrying out 1 imnologica1
studies on Lakes Victoria and Chad,
respective1y. The Vice-Chance11ors
of both un i ve rs i t i es r e p 1 i e d that
they would be pleased to accept my
proposal and designated me as

36

a Visiting Reader (equivalent to an
Associate Professor in Canada) which
resolved the housing problem and
also expedited the process of
obtaining our visas.
In most
independent African countries, an
ordinary visitor's visa a 1 lows the
holder to remain in the country for
a 1 imited period oft ime only, usually
six weeks or less, which was of
1 ittle use to me. To obtain an
ordinary visa can take many months
while an extended vis itor 1 s visa and
work permit presents much greater
problems. Fortunate1y,with the he1p
of the universities in both countries,
this red-tape was made much ea s i er
to copewith and after rece1v1ng our
visas we 1eft Canada for Uganda in
June 1972.

RESEARCH AND PRESIDENT AMIN
The problems encountered in carrying out independent research in any
underdeveloped country are quite
staggering, just a few wi11 be
mentioned in this paper. The lack
oft rained manpower was the first
problem encountered as, being in
short s up p 1 y , a 11 of the t r a i n e d
men av a i 1a b 1 e a re fu 11 y emp 1oyed.
This matter was not eased at a11 by
the expulsion from Uganda, by
President Amin of all Asians, of
whom most of the ski 1 led trades were
composed. All eight launches of the
Department of Fisheries and the only
research vessel of the East African
Fresh Water Fisheries Research
Organization were under repair.
Of course the mechanics of both
organizations were Asian and they
had been ordered to 1eave the country
so why should they work? Eventually
a launchwas provided by the Ministry
of Works and by early September,
after one complete engine change in
the launch (the details of which
wi 11 not be entered into here)
a 1 i mno 1og i ca 1 s u r v e y was c a r r i e d
out on the northwestern area of Lake
Victoria. The survey was terminated

�broad prospects of the effective use
modern automatic control systems.
The experience of Soviet scienceindustria1 and production associations
confirms that such systems produce
good results g l ven a sufficiently
efficient and substantiated organizational structure, well-adjusted
communication channels and an
unhindered influx of information.
of

S~Y
The system of organs of the state
management of science in the USSR has
worked out and implemented, with the
support of the broad scientific and
technicai public and all the working
people, a smoothly operating system
of the organization and management of
research work in the country. This
sys tern is an organic pa rt of a broader
system of national economic p1anning
and constitutes its ever more impor-

tant element.

Fol lowing the principle accepted
in the USSR, the p 1ann i ng of the
nationa1 economic development should
proceed from the out 1 i ne of future
scientific and technological progress.
Therefore, branch and comprehensive
forecasts of sc lent if i c and technological progress and long-range
plans based on them are drawn up.
These plans serve as a foundation of
the State Five-Year Plan of research
and of the utilization of technical
and scientific achievements In the
national economy and also of coordination plans for solving basic scientific and technological problems
which are presented in more deta i 1
in the appropriate branches and
organizations. These plans, in turn.
serve as a basis for the yearly
plan n i n g of s c i en t i f l c and techno l oq i cal progress a1J along the
line - from the country as a whole
down

to an

i n d i v i du a 1 res ea r ch

institute, a designing bureau or an
Industrial enterprise. I
Mr. Bobrov was born in 1925 near

Moscow. He graduated from Secondary
School in 1943 and joined the Air
Force where he served in the
capacity of fighter-bomber pilot
unt_il 1948. In that year, he
entered the Moscow Civil Aviation
Institute and graduated from it
a diploma in Electric and Electronics Equipment in 1954. Between
1954 and 1.961 he served in various
capacities with the Electric
Industry, mainly in quality
control departments. In 1961 he
joined the Foreign Trade Ministry
and in 1962 was posted to Great
Brita.in as Chief Inspector responsible for Soviet orders with
British electric and electronics
firms. In 1966 he was called back
to Moscow and for a short period
served in the Scientific and
Research Institute, Ministry of
Civil Aviation as Assistant Director
of the Technical Information Branch.
In 1967 he joined the State Committee for Science and Technology
of the USSR, and in November 1968
was posted to Canada in the
capacity of Counsellor of the Embassy
(Science and Technology). He is
married with two children, 16 and
20 (son and daughter). His hobbies
include tennis, fishing, skiing and
camping. I

EIXJC'ATI~ IN TIE TIHRD WORLD - THE
PEARSON COLLEGE OF THE PAC I FIC IS
THE TH I RD IN A NETWORK OF UN I T ED
WORLD COLLEGES CREATED TO PROMOTE
INTERNATIONAL UNDERSTANDING THROUGH
EDUCATION A~D TO PROVIDE A PATTERN
OF EDUCATION TAILORED TO THE NEEDS
OF THE T I MES .
THE P I ONE ER I NG
UNITED WORLD COLLEGE OF THE ATLANTIC
WAS ESTABLISHED IN WALES IN 1962.
A SECOND COLLEGE., THE IJWC OF SOUTHEAST ASIA., OPENED IN SI NGA PORE
LAST YEAR. THE ULTIMATE PLAN IS TO
HAVE SIMILAR COLLEGES IN EVERY
MAJOR REG I ON OF THE WORLD. THE
GRADUATES ATTAIN AN INTERNATIONAL
BACCALAUREATE., RECOGNIZED BY ALL

CANADIAN UNIVERSITIES.
35

�when ten armed soldiers took over
the launch on beha1f of President
Amin who wanted to go fishing! We
discovered later that the authorities
suspected that the vessel might be
used to transport Asians to and from
Uganda and Kenya, and was not to
leave the dock at Ji nj a.
We 1eft
for Nigeria in mid-September five
days before an attempted coup took
p1ace and things became rather
unpleasant for expatriates living
in Uganda.
Apart from the 1imno1ogica1 studies,
our stay in East Africa was most
interesting from a general geological point of view. We took every
advantageofour stay to visit some
visit some of the places which
to us were almost legendary.
In
particular, I examined parts of the
unique East African Rift system
which consists of a series of downdropped blocks (grabens) and
uplifted blocks (hors ts) of the
earth's crust extending from
Tanzania to Turkey. In addition, a
visit to01duvai Gorge where Professor Leaky discovered the bones of
Zinganthropus and Homo erectus
leaky i which many scientists be 1 i eve
to be d i rec t an c es to rs of man
proved to be most interesting. Work
was sti 11 being carried out at 'the
dig' under the direction of Professor Leaky 1 s widow. On the way to
01 duva i we visited Ngorongoro crater,
advertised, and possib1y correct1y
so, as the 1argest known crater of
an extinct vo1cano.

THE SOURCE OF THE NILE
One of the great geographic
challenges of the last century was
to discover the source of the Nile.
Eventually the riddle was so1ved by
Speke who in 1858 postulated
correct 1y that Lake V i ctori a was
the source. We fo 11 owed the Victoria
Ni 1e from the source, Lake Victoria
at Jinja, to Lake Kyoga and along
the A1bert Ni1e to Lake Albert and
i ts 1 i n k - u p w i t h t h e Wh i t e- N i 1e ,

visiting on our journey Murchison
Fa11s and its game park. The time
passed so qui ck 1 y that, when our
time came in September to leave for
Nigeria, therewas so much we wished
st i 11 to do!
In Nigeria, the Federa1 Fisheries
Department provided us with a bunga1 ow a t t h e i r r e s ea r c h s t a t i on at
Ma 1 umfator i on the shores of lake
Chad, 175 mi 1es into the Southern
Sahara! The transportation of 1,000
pounds of equipment from the University at Nsukka in the East Cent ra 1
State over 850 mi 1es of very inferior
roads (175miles of which were across
a trackless scrub desert) proved to
be somewhat of an obstacle. Three
different Land Rovers were required
to complete the journey. The first,
a brand new 1972 vehicle belonging
to the university, came to an unt ime1y end at Jos, after completing
approximately 350 grue11 ing mi Jes,
with a broken ax 1e. Rep 1acement parts
not being ava i 1ab 1e we were 1ucky to
obtain the use of a Land Rover from
the Ministry of Natural Resources,
which could take us only as far as
Maiduguri, 175 miles from our
destination. We were met at Maiduguri
by p e r s on n e 1 f r om t he res ea r ch
station who transferred our equipment, yet again, to the fina1 vehicle
which conveyed us across the desert
to Ma1amfatori.

SEVERE

DROUGHT 11-IREATENS

A survey of the open water area of
Lake Chad was carried out from the
research vesse 1, E 1 Kanemi, during
January and February. The studies of
the lake, which has a maximum
depth of merely 14 feet although it
covers an area of 5,000 square mi 1es,
has uncovered some interesting data
at a time when severe drought
t h re a t en s the very ex i s t en c e o f
thousands of peop 1e in Cent ra 1 Africa.
The f 1 u v i a 1 input to the 1 a k e is
mainly from the Chari River which
flows into the Southern Basin. There
is no outlet from the lake, and the

37

�fluvial addition is kept in rough
balance by the high rate of
evaporation in the northern basin
which fringes the Sahara. The
combination of fresh water influx
in the south and evaporation in
the north has resu I ted in a sa 1 in i ty
gradient towards the north.
Situated as it is in a depression
a substantial increase in rainfall
could increase the volume of water
inthe lake, but unless this
happens in the next few years,
the fish population will be badly
depleted in an area already faced
with the threat of wholesale
starvation.

BEFORE YOU GO TO AFRICA
I f you a re p I a n n i n g a tr i p to
Africa in the near future you would
do we 11 to heed the fol lowing
advice:-

♦

AFRICA
ATLANTIC

0

Miles

200

[1] Check thoroughly and well ahead
of time on visa and vaccination
requirements. Most African countries
have Embassies or High Commissions
in Ottawa and this information can
be easily obtained.

♦

[2] Dress conservatively as Africans
in most Independent African countries tend to be conservative about
dress. For example, the wearing of
shorts or miniskirts by g i r 1 s in
African countries could resu 1 t in
a fine or imprisonment.

Lake

[3] Don't try smugg 1 i ng as you
could end up in an African jai 1
which is a part of the African
scene you wou Id probab 1y wish to
avoid visiting.
I Dr. Mothersill has been a faculty
member at La.kehead University since
1966. Born in Ottawa, his work has
taken him to Turkey, Nigeria and
Columbia amongst other places. As
well as analyzing the results of
his studies of Lake Superior and
lakes in Africa, he is currently
Supervisor of the Federal Government Seismic Station at La.kehead
University. I

38

Olduvai GorQe
•/

Mt. Kilimanjaro

.....

0

Miles

100

NoorOOQoro Crater

-o

�Dr. Mothersill at home

and away

Mrs. Mothersill and infant at
Mount Elgin on the border of
Uganda and Kenya.
"in the best of spirits and
well fed . . . "

Overlooking the Victoria Nile.
"a child . . . whose father has
more than a passing interest
in geology . . . "

�Olduvai Gorge
where Professor Leaky made his discovery.

At the foot of the section at Olduvai Gorge

Above - Murchison Falls
"Our first encounter with the spectacle
of the African panorama . . . "

A Kanuri family at the communal water tap
near Lake Chad
"the people [ were j very hospitable and
extremely friendly .

�TRAVELS

1TH

By Valerie Mothersi

Y SON
11

When my husband informed me that
he had been granted a sabbatical

leave and that we were to spend that
precious year in Africa, carrying
out r e s ea r c h s t u d i e s on La k e s
Victoria and Chad, the thought of
any difficulties being encountered
in taking our son, then aged eight
months, on an extensive tour of
East and West Africa did not occur
to me; after a11, we had taken him
to Toronto when he was mere 1y three
months old!
We left Canada in June, 1972 and
after a brief stopover in England
arrived in Uganda twelve days later.
Living as we were in the fairly
sophisticated capita 1 of Kampala,
the routine of daily life was not
so very different from that encountered in Thunder Bay.
It was
our expeditions beyond the urban
areas which put to the test our
abi 1 i ty to adapt and improvise.
For example, can you imag•ine
travelling many miles in Canada
without encountering a road-side
snack bar urging you to "EAT", let
alone an A&amp;W? First lesson - never
contemplate even the shortest car
trip without taking along a couple
of thermos flasks of boiled water,
a packet of dried milk, halfa-dozen jars of baby food and, if
you are lucky enough to have any
room 1eft, some sustenance for Mum
and Dad.
The second lesson, that
of the necessity of having an inexhaust i b 1e supply of disposable
diapers, was of 1 ittle use to us
as this commodity is not regarded
as an abso 1 ute necessity of l i f e
by the Ugandan peop 1e and hence is
unavailable.
Dirty cloth diapers
combined with lack of water do'
test one 1 s ingenuity.

VENTURING INTO THE COUNTRYSIDE
Our first encounter with the
spectacle of the African panorama

was on a visit to Murchison Falls
National Park where crocodiles in
the Nile are as common as lamprey
in Superior: elephant, giraffe,
water buffalo, kob 1 and many other

an ima 1s roam free 1y, unhampered by
man's urge to kill.
The political situation being as
it was, my husband's work on Lake
Victoria was delayed, giving us a
few days to fly to Kenya to do the
safari thing. After an exceptionally sumptuous over-night stay in
the New Stanley Hotel in Nairobi,
we felt we 11 fortified for our
drive to Tanzania and the wonders
of Kilimanjaro Serengeti and Olduvai Gorge. Lesson number three - if
possible always take along a baby
when going on safari. At border
crossings what is in effect a mere
formality of stamping a passport
often can be turned into a marathon
wait for the I r ight man I to come
to perform the r i tua 1 . An accompanying chi 1d a c q u i res the uncanny
ab i 1 i ty to cut red tape as if he
transformed to a pair of enchanted scissors, his presence
has the effect of making an
insignificant border guard into a
great stamp-wielding man (perhaps
because of those dirty diapers in
the car?).
The equa 1 measure of p 1ea sure and
curiosity with which a child
treats a 1 1 new experiences is
either an object lesson in how to
find joy, excitement or merely a
s t i mu 1 us for one I s cu r i o s i t y
in a 1 1 th i n gs , be they ug 1y or
beautiful, mundane or ethereal,
precious or i.ne~pensive. The
beautiful Masai people clothed in
bright flowing robes and adorned
so e 1egan t 1y with handmade, beaded

jewellery, earrings which stretch
their ear lobes out of all proportion, aroused great interest (but
then so does Mum in a shocking
pink housedress and ceramic
meda 11 ion) . To an adu 1t the vision
of Kilimanjaro, sur~ounded as it
is by t~e mystique of Hemingway,
41

�is awe-inspiring, but to a nine months
old bor who has a 1 ready seen Mount
McKay, what else is there? Serengeti,
with its thousandsofsquare miles of
arid savanna land and great herds of
zebra and ostrich, proved to be of not
much more competition to the teddy
bear than were the elephants of
Murchison.
Even being the largest
extinct volcanic crater in the world
did not save Ngo rogo ro from being
re 1ega t ed to the posit ion of 11 just
another pretty valley with nice
an ima 1s - but no teddy bears! 11 3
But the genetic heritage of a child
(whose Mother is not averse to joining
in an archaeo1ogica1 dig and whose
Father has more than a passing interest in geology) cannot fail to
make that chi1d appreciate Olduvai
Gorge, the home of Aust ra 1op i thecus
and the Mecca of all who are concerned
with pre-history. Where else can one
be photographed with the femur of an
elephant circa one million years old,
in its natural habitat?

A LONG AND DIFFICULT JOURNEY
To detail the eighteen hour drive
from A r u s ha , Ta n z a n i a to Th i k a ,
Kenya would require an article in
itself, but the value· of adhering to
rule one was made abundantly clear to
us during that time. Careful planning
ensured our arrival in Thika in time
for supper, contingent on our leaving
Arusha by 8 a.m. which we did. However, our careful planning, although
it did take into account visiting
Ngorogoro Crater and O 1duva i Gorge
and al lowed for a reasonably 1eisure1y
drive through Serengeti Nat iona1 Park,
did not al low for the deplorable
driving conditions in a constant fog
of swi r1 ing dust and roads which
wou1d make a tank driver shudder in
horror: a 1 f 1at' dea 1t us a f i na 1
blow on re-entering Kenya. Our
pioneering spirit was further severely tested by the 1ack of food! In the
orig i na 1, ca refu 11 y made i t i n er a r y,
arr i v a 1 a t safar i 1od ges co i n c i d e d
42

with mea 1 times: the actua 1 time of
arrival in Kenya coincided with the
area of no - man ' s 1a n d be tween
meals. Witness the wisdom of tule
number one - whilst the two adults
of our 1 it t 1e party we re without
sustenance, save a packet of cookies
and two melted chocolate bars, for
eighteen hours, the youngest member
thrived on milk, pureed sp I nach,
minced chicken and the inevitable
a p r i co t p u d d i n g . He a r r i v e d i n
Th i k a a t 2 a. m. i n t he be s t of
spirits and we 11 - fed, the envy of
his Mum and Dad.

TI£ CHILD AS DIPLc»\AT
The ensuing months saw us in
Nigeria, Liberia and on the borders
of Niger, Nigeria and Chad at lake
Chad. It was at Chad that ru 1e three
again exhibited its worth. Situated
as we were, at a scientific research
station 140 miles into the Southern
Sahara, access i b 1e on1y by fourwheel drive vehicles and camel, the
soc i a 1 1 i f e , a 1 t ho u g h e n v i a b 1y
peaceful, at times did become rather
wanting in stimulation and here the
child as diplomat came into his own.
The people from the neighbouring
Kanuri vi 1 lage, al though very
hospitable and extremely friendly,
were rather shy of strangers,
especially a white, fema1e stranger
who wore trousers! But a chi 1d, 1 i ke
a dog, has the uncanny ab i 1 i ty of
breaking down al 1 barriers, even
that of uncommon language, to make
communication not on 1y enj oya b 1 e
but uncomplicated. By this time he
had learned to walk and cou 1 d be
seen toddling over to the communal
water tap for his dai1y ration of
ground nuts from the women of the
vi 11 age.
As I am writing this, my mind is
flooded with incidents, most of
them enjoyable to recall, which we
experienced with the '1 itt1e man' as
we began ca11 ing him ancl al 1 of them
reinforce my conviction that where-

�ever two adu1tsgo together,a child
can go and probably suffer a Jot
less from the accompanying problems
of adj,1;.1stment; in fact, if you don't
have one yourself, borrow one for
jou,neys in foreign 1ands, they are
invaluable.
1 A Kobis a member of the antelope
:family.
2 A local wen of 'which Thunder Bay
is inordinately proud.
3 The Mot'hersills should go· to
Queensland on their next Sabbatical ~ there are teddy bears
• (Koalas) all over the place. □

taken root in the reorganization of
the e 1ementa ry and secondary sch.co 1s
and community colleges.'
•
As we 11 as the headqu 9 rters at
Quebec ·city, the Un Ivers i ty of Quebec
has campuses located at Chicoutimi,
Moritrea1, Rimouski and Trois.-Rlvieres
and smal Jer study centre.s at ~01;.1yn
and Hu ll . I n add i t ion , •L ' Eco 1 e
nationale d'administration publJque,
Plnstitut national de .1 9 recherche
scientifique ancll I lnstitut de microbiologie et d'hygiene are administrat iVe 1y a pa r t o f t he u n i v e rs it y.
Total enrolment 1n 1973-74 is 30,POO
s·tudents.
The networks

A univer'sity w.ith an 800 mi.le
campus? The educa tionai needs of
Quebec.make i t necessary, and
commu'ni~c1t.ion,s technology .makes i t
practical.·
•
•
C

:••

:0.

•,

Sea rce 1 y f i,ve yea rs ago·, the
University of Quebec did not exist.
In the short period since, however,
i t has become one of the p icineers
in the concept of mult i..;.campus
universities, and has broken new
ground in applying state-of-the art
technology to the problems bf
providing effective communications.
To maintain, a constant 1 ink among
its seven campuses, stretching across
an 800mi1e territory in Quebec, the
university has used engineering and
ingenuity to develop a uril~ue
communications system, not only to
provide more effective admiri istration,
but for teaching and research as we 11 .
The University of Quebec, founded
in 1968 by an act of the National
Assembly, is the province's seventh
institute of higher learning, its
fourth French language university
and the first to go public.
Its
creation was the culmination of a
ten year reform of Quebec's educational system which had already

From the outset, i t was seen that
such a wide dispersion bf faf i l iti es
would present administrative di ff iculties. More ser io'us, •. i f ]ess
tang'ible, probl'ems of providing for
a free flow of idea$ clrid information
among students. ancf professors. - the
kinds, of exchange so vi ta 1. to the
ed.ucat iona 1 prbcess - are al.so .more
acute when significant di stances
separate the phys ica t e leme.n ts of
a uriiversity. ••
•
...
One of. the first projects in 'proVi ding e f f'ec ti \le cornmu i, i cations
throughout the un'iversi\Y was to
1aunch a data&lt; communications n~twork
to aid in teaching, research and
management. The system, based 011 a
Control D~(a'tYBER'.;. 73 compyier, .at
Qu~bec, prtivides both batch a'nd, realtime proces~ i ng fa c i 1 i, t. i es . Ea·c h
campus has ,:fc c '7 ~ s
o
accor~j,ng
to its demands. 'The central. computer
serves at.t of the other univ~rsity
i{1 emen ts , i n c 1 u d i n g t he s ma 1 i e r
study cent res.
Because computing
demands are hi'gher at three focat ions
the ce11tral computing facility.has
been beefed up by separate compu.ters
installed at the Montreal, Troi sRivieres and Chicoutimi' campuses.

f

iJ

- Louis Brunel, Vice~President,
Communications, University o:f
Quebec.,□

43

�AU SEUIL D'UNE NOUVELLE TECHN LOGIE: LA
SUPRAC NDUCTIVITE
Par Gaston Fischer

dema in, que nous a 11 ons essayer d I en
presenter les traits principaux.

L I a tt r i but I on d u p r i x Nobe 1 d e
physique pour 1972 est remarquable
a deux tit res. Tout d 'abord, ce pr ix
recompense non pas une invention,
ma is 1a decouverte de 1 'orig i ne d I un
phenomene observe depuis longtemps,
mais dont on ignorait jusqu'a1ors
entierement la cause. Ensuite - fait
sans precedent - il s • ag i t de 1'
attribution d 1 un deuxieme prix Nobe1
a une meme personne, pour des
travaux dans un meme doma i ne. En
e f f e t ' 1 I u n d e s t r O i s 1au r eats
americains,* John Bardeen, avait
deja recu 1e pr ix Nobe 1 en compagn i e
de Wi 11 iam Shockley et W.H. Brattain,
pour avoir invente le transistor.
Ma i s a 1ors q u e 1e p ri x No b e 1 de
1956 recompensait une invention en
physique des semiconducteurs, celui
de 1972 a ete attribue pour JI
e1a bO r a t i O n d I u n e t heo r i e mi C ros cop i que de 1a supraconduc ti vi te.
II
L'adj ect if "mi croscop i que sign if i e
qu'il s'agit d'une theorie expl iquant
1'origine du phenomene de la supraconduct iv i te en termes de processus
a 1 'eche11e atomique,, par opposition
a une t heo r i e qui ne fer a i t q u e
de C r i r e 1 e p hen Omen e t e 1 q u I on
1 1 observe a 1 1 eche 11 e huma i ne OU
"macroscop i que 11 • la nouve 11 e theorie
de 1a supraconductivite estdesignee
par 1es in i ti a 1es BCS, de ses t ro is
auteurs; e11e a
comp1etee
quelques mois seu1ement apres que
Bardeen eut recu son premier prix
Nobe 1 . A cet te epoque, Bardeen ava it
48 ans et - de par son activite de
professeur - dirigeait 1es travaux
d 1 un groupe de jeunes chercheurs,
parm i 1esque 1s Cooper, qui eta it au
benefice d'une bourse de perfect ionnement pos tdoc to ra 1 e, et
Schrieffer, un etudiant preparant
sa these de doctorat.
Le phenomene de 1a supraconduct iv ite est si spectaculaire, et i1 est
appe 1e a jouer un role te11 ement
important dans les technologies de

ete

44

L.ORSQUE LA RESISTANCE ELECTRIQUE
DISPAAAIT
La supra CO n du Ct i V i t e est 1 a
propr i ete qu 1ont certa ins metaux' a
des temperatures voisines du zero
abso1 u, de presenter une conduct iv i te
i ect r i que inf iniment e1evee (ou
une resist iv i te nul 1e). La loi d 1 Ohm I
= U/R, ou I= courant et U =
tension, nous montre qu 1 un courant
I non nu1 peut parcourir un supraconducteur, bien que 1a tension U
soit zero (mathemat iquement: I= 0/0
# 0). Ai ns i, un anneau supraconducteu r (p. ex. un anneau de p 1omb a une
temperature de 4°K, c'est-a-dire 4
deg res centigrades audessus du zero
abso1u qui est a -273, 16°C) pourra
etre parcouru par un courantI
ver i tab 1ement permanent. Ce courant
permanent est un courant d'electrons,
tout comme 1e sont les courants
1ectr i ques da n s 1es conducteurs
traditionne1s. Puisque nous savons
que les electrons sont des particules
atomi ques bien ree 11 es qui ont
une masse m (done une inertie)
et une charge,e, ce courant I dans
1 1 anneau represente une sorte de
mouvement perpetuel, au meme titre
q u e 1 a r on de i n c es s ante des e1ectrons autour du noyau d I un atome.
la resistance electr i que des metaux
provient des forces de f re i nage
auxquel les sont soumis les electrons
de conduct ion 1orsqu' i 1s entrent en
collision, soit avec les atomes ou
ions du reseau cristal 1 in, soit avec
des imperfections de ce reseau, te 1s
que les a tomes d' impuretesou des
def auts er i sta 11 ins. Un reseau sans
imperfections freine Jes electrons
par son agitation thermique.Au
zero absolu, un reseau crista11in
par fa i t opposer a it une resistance
nu11e au courant e1ectrique. Mais
on sait que le zero abso1u ne peut
etre atteint.

e

e

�a

Revenons 1a supraconductivite.
Comment comp rend re que pour des
metaux qui ne sont ni parfaits, ni
au zero abs o 1 u, 1es forces de
freinage semblent dispara7tre
lorsque 1a temperature descend audessous de Tc? I 1 se t rouve que dans
1es supraconducteurs un phenomene
tout nouveau appara7t. Les electrons
responsab1es de la conduction
e1ectrique, qui dans un meta]
la
temperature ambiante se comportent
comme des pa rt i cu 1es es sent i e 11ement
independantes, s 1 associent soudain
en pa i res don t 1es deux pa rtena i res
tou rnen t 1 ' u n au tour de 1 1 au tr e.
Ces paires, dites paires de Cooper
- p u i sq u e c I est 1 u i q u i 1es a
decouvertes - forment une nouvelle
particu1e de tres grandes dimensions.
Les deux electrons de chacune
de ces pa ires res tent constamment a
plusieurs dizaines ou centaines de
d i s t a n c e s i n t er a tom i q u es 1 1 u n de
1 'autre.
Pour ces nouve11es
particu1es, les co11isions avec le
reseau deviennent sans effet;
Jorsqu'un des electrons subit une
co11 is ion, son partena ire absorbe le
recu1 du reseau, de sorte que la
pa ire n'a pas perdu d' impu 1 s ion (ou
quantite de mouvement) dans cette
co 11 is ion. Les deux e 1ec t ron s de 1a
paire changent simultanement
d I orb i tes c r is ta 1 1 in e par un processus q u i n e fa i t n i gagner n i
perdre d 1 energie a la paire. En
d 'au t res termes, cette pa ire ne
subit pas une force equivalente de
freinage, cequi revient a dire que
la resistance electrique a disparu
dans le supraconducteur.

a

DES MATERIAUX NOlNEAUX
Des qu 1 il eut decouvert, en 1911,
1e phenomene de la supraconduct iv i te,
le physicien hollandais Kamer1ingh
Onnes a tout de SU i te pense a la
construction d 1 electro-aimants qui
ne consommera i ent pas d' energ i e. I 1
dut cependant vi te se rend re compte
que cela n'etait pas si facile; la
supraconductivite disparaissait

rapidement dans un champ magnetique
de que1que intensite. Il importait
peu que ce champ soi t d I orig i ne
externe - parexemp1eproduit par un
aimant permanent - ou d I or i gine
interne, c'est-a-direproduit par le
courant c i rcu 1ant d ans le supraconducteur luimeme. Aujourd 1 hui, heureusement, on comprend bien mieux le
phenomene de 1a supraconductivite,
surtout en raison de la theorie BCS.
On sait que les fi ls supraconducteurs
de mater i aux comportant une tres
grande densite d 1 imperfections
crista11ines sont extremement insens i b 1es a 1 1 i n f 1 u enc e des champs
magnetiques. On fabrique ainsi deja
des e1ectro-aimants extremement
puissants, qui ne consomment pas
d 1 energie e1ectrique (hormi s cel le
necessaire a la refrigeration), dont
les dimensions sont tres reduites
comparees a ce11es des e1ectro-aimants
classiques et qu'on peut faire fonct ionner comme des a imants permanents
en reliant les bornes d 1 al imentation
par un fil supraconducteur une fois
que le courant a ete etab1i.

VASTES

PERSPECTIVES D'AVENIR

Ces noveaux mater i aux supraconducteurs ouvrent des perspectives toutes
nouve11es pour les futures technologies de production d I energie,
te11es la fusion thermonucleaire et
1a g~n~ration d'e1ectricite par la
methode magnetohyd ro-dynam i que (MHD),
ou 1 1 0n aura besoin de champs magnet iques tres puissant s sur de tres
grands volumes. On envisage aussi
- et un gros effort de recherche y
est engage - la construction de
c~b1es electriques supraconducteurs,
beaucoup p1us economiques que les
1ignesahaute tension d 1 aujourd-hui.
Ces nouveaux cab 1es supraconducteu rs
seront en forme de tuyaux, a 1'
interieur desquels circule 1 'helium
1 i qui de refrigerant. Cette methode a
d 1ai 1leurs revolutionne toute recemment
la techno1ogie des aimants supraconducteurs e11ememe deja revolutionna ire par rapport aux e1ec t ro-a i mant s

45

�classiques. On vient en effet de
construl re au CERN,
Geneve, des
aimants dechambres a bulles, parmi
Jes aimants les plus gros qui soient,
avec circulation forcee d 1 he1ium
liquide sous presslon.
Ce procede
s 1 est revele incomparablement plus
economique que de plonger l 1 almant
entler dans une grosse cuve pleine
de refrigerant, qu 1 il fautcontinuel1emen t ma i n ten i r p l e i n e et qu i
necess i te un enorme VO 1ume d I he 1 i um,
gaz rare qui reste encore cher.
La poss i bi l l t e de produ ire des
champs magnet i ques i n tenses a peu
de frais permet d 1 ai l leurs d'
envisager des progres rapides dans
bien des domaines, par exemple en
medecine, ou 1'on pourra deplacer
des obj ets pourvus d'un pet it a imant
a l'lnterieur du corps, en particulier du cerveau ou le long de vaisseaux sanguins (navigation intravasculalre). Par cettemethode on
a reuss i tout recelllllent aux USA a
colmater quatre ruptures d'aneu r I smes
(ruptures de vaisseaux sangutns).
En exploitation mlniere, on etudie
la separation de minerais dont les
proprletes magnetiques sont tres
legerement differentes. Pour
effectuer la separation, i1 suffit
de reduire leminerai enpoudres
suffisamment f!nes pour que chaque
g ra In de 1 a poudre ne cont i enne
plus en general qu'un seul compose;
un champ intense separe ensu i te 1es
differentes sortes de grains. Un
gros effort de recherche se produi t
auss i dans le doma i ne des transports
publ lcs, o~ l 1 on essaye d 1 employer
des champs magnetiques autant pour
acce lerer que pour supporter un
train {levitation). Dans un tel
train, les roues decollent du rail
des qu 1 une certaine vitesse (environ
?Okm/h)est attelnte; le train
11 flotte 11 ensu l te au-dessus d' une
piste d 1 aluminium, repousse par des
forces d 1 induction magnetiques. On
espereatteindreainsi des vitesses
de 500 km/h.
Il semb le done que l I on soi t a la
vei i le de voir la supraconductivite
prendre une place de choix dans

a

46

not re vie tech no 1og i que. Cet te en tree
a tarde, d 1 abord parce que Jes
techniques cryogen i ques sont res tees
longtemps confinees aux laboratoires
de recherche pure; ensuite parce
que 1 1 on pensalt que la supraconductivite nepouvalt pasavoir d 1 interet
pratique a molns de pouvoir trouver
des supraconducteurs dent la temperature critique depasse 30 ou 40° K.
On a du flnalement se rendre a
l 1evidence qu I i l y a une sorte de
barriere naturelle autour de 20°K.
Mais, l 1 avenement d'al l iages fabriques
en laboratoire, qui restent supraconducteurs dans des champs magnet i ques t res i ntenses et qui peuvent
pa r con s eq u e n t t r a n s po r t e r d e s
courants 2000 a 3000 fol s p 1us forts
qi...oe le cu i vre, promet des perspectives
tellement revolutionnaires et
economiquement attractives, qu 1 il a
valu la peine de developper la
cryogenie pour acceder fac i iement
aux temperatures ou ces fabuleuses
proprietes devierment realite. Un
peu de retenue est de rigueur,
cependant~ car les obstacles techniques res tent importants et des
debo I res sont encore a prevo i r, tels
ceux qu'on a eu dans le domaine des
ordinateurs. Ainsi, plusieurs laboratoires americalns ont investl des
mi 11 ions pour le deve l oppement de
memoires supraconductrices de tres
haute densite, mais ont finalement
renonce devant certains obstacles
encore infranchissables aujourd'huL
Il n 1 en reste pas mo ins que la
supraconductlvite est une science a
suivre pour tous ceux qui s 1 interessent aux technologies d 1 avenir.
I '!,John Bardeen de l 1Universite de

1 1 111inois, Leon N. Cooper de
1 'Universite Brown et John Robert
Schrieffer de
Pennsylvanie. I

l

1

Universite de

Cet article a paru d'abord dans
la Revue Polytechnique (Geneve,
juin 1973).

�WELCOME TO MY SCHOOL
By Ernie Dojack

LIVING AND LEARNING
I'm not sure I like what I see
in our high schools. Ontario has
been on the credit system for
a few years now. We 1 ve all been
11
1 iving and 1earning 11 • But the
Ha11-Dennis report has been
gathering dust on my principa1 1 s
shelf for a long time.
Guidance
counse11ors are st i 11 trying to
fit student wishes into personal
t i met ab 1es . 11 T h e r e ' s s o mu c h
choice. 11 11 1 don't know what to
take. 11 11 1 hate History and Math.11
Why, I remember when you had to
take French and Eng 1 i sh to get into
University (and then, if you were
1 i ke me, the first chance you got,
you dropped those subjects faster
than a hot ring clamp).
At last, I made it!! Into the
confines of Chemistry and Physics.
No more 1 anguages or history.
No more iambic pentameter or
1
Kinglear 1 •
l 1 msafe. Fina11y,
I Im fee 1 i ng comfortable ... very,
very, comfortable.

A LETTER FRQ\1 LAHR
I decided to write this letter
even though we haven't been
communicating very well.
I'm living in a small apartment
located in the heart of the Rhine
Valley - and somehow I don' t feel
as comfortable as I did before.
Felix Wankel was born and raised
in the little town where I live.
R£Jm£1mbor him? He's the f e 11 ow
making ,all tho money with his
rotary engine. Have you ever
driven an Audi? Kurt Mauer lives
in my town, too. He's my landlord ..
But he only speaks German, so
we don't talk much.
Brig i t ta is Kurt's daughter.
She is only in Grade 5. I will

never forget her first words to me.
"Hi! How are you?" Brigitta and I
talk a lot. In fact, she's my
interpreter. I even had to get her
to ask Kurt to turn on the heat the
other day. Felt a little silly. I
just don ' t
feel that comfortable
any more.
I returned from a tremendous
holiday the other day. Cyprus,
Greece, Jugoslavia, Austria, Italy
and France. Not bad, eh! I must
have twenty shots of the Acropolis.
Never was able to figure out what
it was doing up on that hill.
Here's a picture of me in
Nicoseia, talking over a moussaka
with a Turkish Cypriot guard-the
one standing with the automatic
rifle on his shoulder. He told me
to say "Hi" to his daughter in
Toronto. He was a real nice guy.
He was never able to tell me why
the Turks and Greeks a re always
fighting.
Didn't feel very
comfortable there, either.
Tell June that I finally saw the
Mona Lisa. It looks just .like a
Safeway reprint - small too. I
don't understand what all the fuss
is about.
I even went to hear the Berlin
Symphony the other night.. Blew the
budget - $15 a ticket. It was OK, I
guess - i f you like that kind of
music. Everyone seemed to worship
the conductor; he got a bigger
ovation than when the "Rolling
Stones" came to town. Honestly!
Our Director of Education tells
us to use Europe as our classroom,
but it's not that easy. I feel a
little uncomfortable at times because I know so little about it.
In the 1 as t i s sue of CAR E T ,
Jeanne Sauve said that "everyone
must contribute or our society
will surely fail in its fundamental
obligation to provide a life worth
living for its members and their
descendants".
It felt good to get back to
school today. The old Chem. lab

47

�up on the
better.
chemical
examples
good

third floor never looked
nvefine physical and
change, and give two

of each." I t sure felt
taJk.ing about the subject

I know. I finally feel comfortable
again!
Good luck this year.
Ernle

P.S. Write soon.
I Mr. Dojack came from Winnipeg to
Port Arthur in 1966.
He began his
teaching career in Lakeview High
Schoo 1 that year. l n the Summer of
1972, he moved to Lahr, West Germany,
to begin teaching at one of the
Department of National Defence
Schools Overseas.
He ls presently
Head of the Science Department at
Lahr, the Senior School. After the
term I nation of his 11 Loan of Service"
agreement, he w111 be returning to
Thunder Bay. I

0I L SUBSTITUTES ?
The MONTREAL GAZETTE reported on
January 5~ 1974 a discovery by an
inventor ca 11 ed John F. Hughes. Mr.
Hughes, who was born in Wa 1 es, is
a chemist who has found a way of
making resins for plastics and
coatings from a key carbohydrate,
instead of from petroleum derivatives.
This of course has great potential
in view of the energy er ls is, for
i t me a r, s t ha t h l s s t r l k e cou 1d
eventual 1y provide a substitute for
a multitude of productswhich no,11
rely on o i 1.

What is his solution?

lt is a substance that is cheap and plentiful
- starch. While the easiest source
of starch is corn, i t can be
extracted from potatoes or tapioca.
More than 60% of easily processable
starch can be obtained from a dried
ear of corn. There are an enormous

48

number of advantages and repercussions that could be derived from
the scientist's flnd. Starch is, of
course, a reriewab 1e commod l ty; o i !
ls irreplaceabls,. As wei las helping
to solve problems of non-renewable
energy resources,aid to ecology is
also possible, for un 1 i ke regular
commercial paint, paint made from
starch res!n d1sintegrates once it
ls buried,, !t would cost much less
to make the pal nt. The raw materials
used are cheaper; those used in
late&gt;c paint, for example, cost
$ 2,50 a gal 1on, while those in
Hughes' mixture would cost $1 .56 a
gallon. Thls would be of advantage
in holding down inflation,
Two years ago, Hughes got a small
team together and incorporated
Plastistarch in order to continue
research and development. Paint
make.rs and other major companies
are fina1 ly evaluating hls resinbased coatings and they are negotiating to l i cense the process. Japan
Maize Products of Tokyo is showing
the most interest, but several major
U.S. starch and oil companies and
a couple of European petrochemical
companies are interested as well.

C.A.NADI.AN SUPPORT IS LAGGING
The inventor already has one United
States patent and around the wor 1d
sever a I others a re pending. However,
his lawyer stated that 11 we get zero
support from Canada",
He, Digby
Clarke, financially supports the
enterprise, He added that neither
the Nationa'I R.esearch Council nor
the Federal or Provir:clal Government
could be convinced to support
Plastistarch, "lOl" could any major
company.
Clarke blames Canada 0 s
ilcold shouider 11 on the fact that
many others have trled to do what
Hughes has done, but failed. He Is,
in fact, turning back the clock
thirty years or more whennatural
products were used to make natural
synthetics, and when plastics were
l i t t 1e used .

�ARISTOTLE'S IDEAS ON
By O. G. Hughes

Wlil\T ARISTOTLE SAID
It is likely that you, the reader
of this article, if you have been
exposed to the study of mechanics,
think that Ga1i1eo and Newton were
the firsf to say anything useful or
sensible about it. It is evenpossib1e
you believe that because Aristotle
lived and died in the 4th century
B.C. his ideas on physics can only
be laughable. It is certain that if
you believe this, you are wrong.
Aristot1e 1 s ideas on motion are
1arge1y contained in two of his
books, "On the Heavens" and
"Physics". These books are probably
versions of his lecture notes
edited by his fo11owers; they are
easy to read and understand, whereas books about Aris tot 1e tend to be
neither. He begins, in 11 0n the
Heavens 11 , by drawing a fundamental
di st i net ion between natural and
unnatural motion, the former being
that which bodies have of their own
nature, the latter requiring some
external agent to act on the body.
Natural motions are further subdivided into upwards (i.e. away
from the centre of the earth},
downwards (i.e. towards the centre)
and circular.. C 1ass if i cation
of this sort is typical of a
scientific approach to any problem,
but in choosing three subdivisions,
Aristotle seems to be governed by
reasons which appear alien to us:
he points out that three is the
1owest number of objects of which
we use the word 11 a 11 11 ( 11 both 11 being used of two objects) and therefore this number has a quality of
•
•In " one n or
comp 1eteness 1ac k 1ng
11
11
two •

EARll-lLY AND t-EAVENLY t'OTIONS
These ideas are then applied to
account for the motions actually

OTI N
observed around us, but in doing so
Aristot1e is careful to distinguish
the behaviour of objects near the
earth from that of objects in the
remoter reg ions of the sky. For him
the moon I s orbit round the earth
divided the universe into two, the
terrestial or sublunary region and
the heaven 1y reg ion . I n t he s u b lunary part of the universe, all
material objects were compounded
of the four basic elements: earth,
water, air and fire, these being
idea 1 i zed essences of the common
substances with those names. This
idea did not or i g i n ate w i th
Aristotle but was handed on to
him by his predecessors.
Aristotle, however, introduced
the further notion that these
e 1ements each had the i r proper
place in the universe; earth, for
examp1e, belonged properly to the
centre of the universe (which was,
for Aris tot 1e, at the centre of
the terrestria1 globe) whi1e fire
belonged to the heavens. Objects
made of these elements wi 11 , if
free to do so, move with a natural
motion in such a way as to find
their proper place; earth wi 11
move naturally towards the centre
in a straight 1 ine and is class ified as absolutely heavy; fire
moves natura11y upwards and is absolutely light; water and air are
only relatively heavy or light and
their natural motions, sti111inear,
wi11 be towards or away from the
centre according to the medium
which surrounds them. Opposed to
these 1 inear natural motions of
the sublunary elements is circular
motion which is a natural motion
only in the heavens, being an unnatu ra 1 or forced motion i n the
earthly region: circular motion
is natural to the fifth element,
introduced by Ar i st o t 1e , the
aether, which exists, incorruptible, without beginning or end,
only in the heavens. (This incidentally, leaves little room for

49

�the Biblical account of the creation
of the universe and was one of the
reasons behind the attempts made in
Paris in the thirteenth century to
prohibit the public teaching of
Aristot1e 8 s work.)

AGREEMENT IS QUALITATIVE, NOT
QLWITITATIVE
These basic ideas take us a
surprising 1y long way in exp 1a in i ng
(whatever that word may mean) the
everyday observation of objects
moving without constraint. Earthly
objects, such as rocks, do fa11
and in a straight 1 ine towards'
th 7 centre of the earth; fiery
obJects, such as flames and smoke
do rise upwards; water surrounded'
by earth r i s e s i n mo u n t a i n
springs, but falls as rain when
surrounded by air; the stars in
the heavens do appear to move in
circles. But the agreement with
observation is qualitative only
(and not even that when we consider forced motions), so that when
Aristotle, in showing that it is
impossible for a vacuum to exist,
assumes that the time taken foran
object to fall a certain distance
is inverse1y proportional to its
weight, he is assuming a quantitative relationship which is simply
wrong. Heavy objects do, of course,
fa11 faster than 1 i ght ones of
the same size in a res i st i n g
medium, though not to the extent
Aristotle thought, and the resistance of the surrounding medium
does affect the velocity of
the fa11, though again not in the
way Aris tot 1e thought. So hi s
argument - when resistance is
reduced to zero by a11owing the
object to fall in a vacuum the
velocity of fall will be infinitely large, which is impossib1e,
so ~ vacuum cannot exist - though
1og I ca 11 y fa u 1 t 1 e s s g i v e s a
wrong answer because it is based
on wrong assumptions.
50

NATURAL AND UNNATURAL t'KJTION
Aristotle was we11 aware that
fa11 ing objects moved faster the

further they fe11 and had a perfect 1y good exp 1a n a t i on , name 1y ,
that for objects moving in accordance with their nature towards
their proper place, the climax of
the motion would occur at the goa1
towards which they were striving;
for unnatural motions, the contrary
was true, and this was borne out
for Aristot1e by the observation
that a stone thrown vertically
upwards wi11 s1ow down as it rises
further from its proper place.
In d i scu s sing n a tu r a 1 mot i on ,
then, Aristotle's ideas seem
not unreasonable, at least qua1itative1y. In treating forced motion,
he was 1ess successful and it was
not long before his ideas on the
motion of a project i 1e were disputed.
You may think it easy to show that
the path of an arrow or a thrown
ba 11 i s , a t 1ea s t r o u g h 1y , a
parabo1a and so, in an age when
multiple-exposure photographs are
commonplace, it is. But when the
ballistics experts in the sixteenth
century knew that a cannon ba 11
rose along a sloping straight line
to the highest point of its trajectory, they knew it because the
gunners to1d them so. If you think
this i s stupid i ty, t r y as k i n g a
Grade 9 student what happens to
the speed of an arrow after it has
lef~ the bow (for that matter, try
asking yourse1f, or a third-year
university student).

THERE WAS A SHJRTAGE OF EQUIPMENT!
Everyday experience p 1 us high
inte11igence are not always enough
to so1ve even the simplest problems
in physics; that is why we are
driven to use special laboratories
and complicated equipment. But
Ar i st o t 1e was not foo 1 i sh because
he lacked these faci1ities and you
would be foo1ish to think him so. □

�KENORA

ENVIRONMENTAL SURVEY

Lakewood's environmental chemistry
students have received the resuJts
of a survey conducted in December

DO YOU FEEL OUR TOWN HAS
SUFFICIENT LITTER RECEPTACLES?

4.

and January on 355 Kenora residents.
The ten quest ions a 11 relate to

environmental issues. The question
responses were cross-tabulated
according to sex, age and income
groups. The survey resu 1ts were keypunched and tab u 1at ed by the Computer Centre at lakehead University.

I SURVEY RESULTS I

I
I

BELOW
18 TO
25 TO
OVER

21.%
20%

18
25
45
45

11

I

I

LOW -------------------AVERAGE ---------------HIGH -------------------

:Ll.%
~%

MALE ------------------FEMALE-----------------

L;a5%
53%

L;:L%

[A 11 resu 1ts are correct to on 1y two
significant figures, consequently
totals may vary from 100%.]

SURVEY QUESTIONS
1. DO YOU FEEL GOVERNMENT IS
CONTROLLING INDUS TR I AL POLLUTION
ADEQUATELY?

YES: 20%
f():

BO%

2. DO YOU FEEL ENVIRONMENTAL
PROTECTION SHOULD BE A POLITICAL
ISSUE?

YES: 7:L%
NO: 29%

3. DO YOU FEEL THE NEWS MEDIA
CONVEY OUR POLLUTION PROBLEM

EFFICIENTLY?

YOUR TRASH?

YES:
NO:

YES: 47%
t,¥):

53%

69%
31%

6. ARE YOU REDUCING FUEL CONSUMPTION IN YOUR HOME AND AUTOfvOBI LE
TO MEET THE ENERGY CRISIS?
45%
55%

7. WOULD YOU UTILIZE A PUBLIC
TRANSPORT SYSTEM IF SERVI CE WERE
INCREASED?

YES:

NO:

2L;%

SEX
I

5. WOULD YOU CONSIDER SEPARATING
CLEAN PAPER FOR RECYCLING, FROM

3L;%

INCc»E GROUPS
I

32%

68%

YES:
NO:

AGE GROUPS
I
I

YES:
NO:

8. WOULD YOU REPAIR YOUR AUTOMOBILE TO MEET EMISSION CONTROL
STANDARDS?

YES:

NO:

6L;%
36%

9. WOULD YOU CONS IDER PAY I NG AN
ADDITIONAL $2. 70/YEAR FOR IMPROVED
SEWAGE TREATMENT; J.E. TERTIARY
TREATMENT?

YES:

NO:

77%
23%

10. WOULD YOU SWITCH TO A LOWPHOSPHA TE DETERGENT IF YOUR PRESENT
DETERGENT CONTAINED EXCESSIVE
PHOSPHATE?

YES: 89%
NO: 11%

The computer print-out was analyzed
by the en v i r on men t a 1 c h em i s t ry
students in groups with the fo 11owi ng results:

QUESTION 1 ANALYSIS
Young people, in particular, were
concerned over the government I s
ineffectiveness at curbing i ndust r i a 1 po 1 J u t i on .

QUESTION 2 ANALYSIS
The 71 % con census indicates that
51

�leaders had best
generate and make known sound plat-

our political

QUESTION 9 ANALYSIS

forms wl th respect to env i ronmenta 1
protection issues.

Middle age males in particular were
concerned over the lack of litter
receptacles throughout the town.

Kenon::i boasts a modern secondary
treatment plant that is 90% effective at removing wastes from
domestic sewage (unless it rains),
Further improvement of existing
facilities wouid cost the Kenora
taxpayer $2, 70 per person per year
(Environment Science &amp; Technology,
November 1973). It is interesting
to note that the people most willing
to pay were the younger people who
generally are not involved In taxpayl ng.

QUESTION 5 ANALYSIS

QUEST ION 10 ANAL.VS IS

We were very elated to f Ind such

Asan,sult of the studies conduct-

QUESTION 3 ANALYSIS
Very reassurlng to know that news
media are conveying pollution prob-

lems adequately.

QUESTION 4 ANALYSIS

positive responses to the recyc 1 Ing
question.
Consequently, a feasibil i ty study is expected to take pl ace
in the very near future to discuss
the rec y c 1 i n g con c e p t .
It i s
interesting to note that approximately 59% of our municipal trash
consists of recyc.1 eab I e paper wh l ch
could be sold to the paper industry
for $15-$60 per ton, if processing
facilities were available.

QUESTION 6 ANALYSIS
Middle agema1es of average and high
incomes are not too interested in
voluntary reduction of fuel consumption.

QUESTION 7 ANALYSIS
A 60% 11 YES 11 to tak l ng a bus ls a
particularly.favourable response.
This indicates a truly sincere
desire to reduce both air pollution
as well as the petrol shortage.
Young and mi dd 1e age ma 1es were the
least responsive to this question.

QUESTION 8 Al'\JALYSIS
The favourable response was part icularl y evident for above income young
males.
The flaw in this question
stems from the fact that not ail
people surveyed are ln possession
of a vehicles

52

ed at the Fisheries Research
Station southeast of Kenora, under
the able leadership of Dr. D.
Schindler [1970]; it has been conclusively proven that phosphates
(present in most detergents) are
the cause of the over-enrichment
(eutrof i cat ion) of our Northwestern

Ontario waters. 89% of all people
surveyed are willing to substitute
for their present detergent an effective low-phosphate detergent or
soap" Analyses of phosphate in detergents co J 1ected in the survey
are present 1 y underway by the
environmental chemistry students.

I The details of this survey were
sent to us by Mr. Robert Aitken who
teaches at Lakewood Secondary
School in Kenora. I

AI RCRAFT

SIGHT?

l

CONTROL COLlffi I END

IN

Since the early days of
flying, the main method of controlling fl lght movements has
been by operating the control
column or 1 joystlck 1• The Royal
Aircraft Establishment in Farnborough, Engl and has devised an
electronic system which does the
work more effectively and more
quickly,

�LE CHAMP MAGNETIQUE TERRESTRE
Par Gaston Fischer
Nous nous proposons de parler d 1un
champ magnet i que beacoup pl us fa I b 1e,
celui de la Terre. Chacun conna1t
1 1 existence de ce champ q u i a 1 i gne
1 'aigui 1 le des boussoles et permet
au voyageur de s'orienter. Ce que
1e profane sa it mo ins souvent, c I est
que ce champ varie d I un endroit a
1 1 autre de la Terre, qu' i 1 varie
dans le temps et qu I a tous 1es ages
i 1 a et i n t i memen t 1i ea 1 I h i st O i re
de not rep 1anete. Nous a 11ons, dan s
le present artic1e, essayer de presenter ces divers aspects du champ
magnetique terrestre (CMT)et, autant
que possible, essayer de 1es
comprendre.

e

DEUX POLES NORD
Les usagers de 1 a bou s so 1 e, en
partlcu1ar 1es navigateurs, se sont
assez tot rendus compte que la
bousso1 e ne poi nta it pas, en genera 1,
exactement vers le nord geog raph i que,
c 1 est-a-dire vers le po1e de rotation de la Terre. On a ainsi ete
conduit a et ab 1 i r des ca rtes q u i
donnent pour chaque end ro i t du g 1obe
la deviation angulaire, OU declinaison*, du nord magnet i que par rapport
au nord geographique.
le CMT est une grandeur di r i gee,
done un vecteur, caracteri see non
seu 1 ement par son amplitude ou
grandeur,mais aussi par sa direction
dans 1 1 espace.
C1 est pourqoi 1 1 0n
represente souvent un champ magnet i que a 1 1 aide du concept des lignes
de force. On con~oit done bien qu 1 a
la surface de la Terre 1e vecteur
magnetique n i est pas represente
uniquement par 1a decl inaison et
1 • amp 1 i tude q u e nous v en on s de
def i n i r , ma i s q u I i 1 fa u t au s s i donne r son inclinaison par rapport
a 1 1 horizontale. La representation
mathemat i que de CMT permet de faire
la distinction entre une partie
reguliere (champ dipolaire) et des
anomalies du CMT.
Les p61es

magnitiques ne coincident pas avec
les po1es geographiques, cause
principale des fortes declinaisons
qu'on observe lorsqu'on s'approche
des poles magnet iques, et d 1 autre
part, on note que les deux pOles
magnetiques ne sont pas dans des
positions symetriques par rapport
au centre de 1a Terre. Fina1ement, 1a
dec1 inalson, et par suite aussi les
autres parametres du CHT, ne sont
pas immuables. En fait, s' i 1 est
vrai que la decl ina1son varie peu
d'une annee a l'autre, Jes instruments precis et sensibles dont on
dispose aujourd'hui demontrent sans
ambiguite que tousles parametres
du CMT changent continue 11 ement en
un endroit donne. On a observe que
ces changements semb1ent decouler
presque entierement d'une Jente
mais irregul iere rotation d 'est en
ouest des anomalies du CMT. On estime qu'un tour comp1et de ce
mouvement requ i ert de 2 a 5 mi 1 1 e
ans. En Suisse, 1a decl in aison
dlminue maintenant d 1 un dixieme de
degre par an et l 1i nc 1 i na i son est
pratiquement stationna1re.
Les prop r i etes du CMT que nous
venons de presenter peuvent toutes
etre verifiees a 1 1 aide de la boussole classique bien connue. Si l'on
nedisposait pasd'instruments plus
precis et surtout plus sensibles,
on pourrait croire que le CMT est
de nature tres qui ete, soum is seul ement a ces 1entes variations seculaires que nous avons deer i tes
plus haut. On en concluerait aussi
q u I i 1 est d I O r i g i n e e n t i e r eme n t
interne a 1a Terre, resu 1 tant de
quelque boucle de courant pres du
centre de notre pJanete. Comme nous
a11ons le voir, il n'en est pas du
tout ainsi.

UNE ACTIVITE FEBRILE
Les magnetometres moder ne s ont
reve le que le CHT eta it continue J 1emen t 1e s i eg e de var I at i on s rap i des
autour de cette valeur moyenne

53

�qu'indique 1a boussole. Si 1a
bousso1e ne permet pas, en genera1,
de 1es dece 1er, c I est que 1'amp 1 i t ude
de ces var i at ions n I est q u e de
1 1 ordre du mi 11 ieme de 1 1 amp 1 i tude
de ce champ moyen ou champ principal
que mesure la bousso1e. Si 1 1 0n
accepte que la majeure part i e du CMT
provient de courants electriques a
plusieurs mi 1 J iers de ki1ometres
sous 1a surface de la Terre, alors
Jes 1ois de 1 'e1ectrodynamique nous
disent que ces variations rapides
ne peuven t en aucun cas ven i r de
1 1 i n t er i e u r de 1a Terre ( eff et
"skin" ou de peau), et viennent par
consequent de 1 'es pace. 11 y a done
deux sources di st i nctes au CMT, 1 1 une
interne et 1 'autre externe a 1a
p1anete, ma is nous verrons auss i que
ces deux sources ne sont pas sans
interactions aux consequences
importantes.

LE CIW1P INTERNE
la sismoJogie, ou etude des tremb 1emen ts de t e r re , a rev~ 1 e q u e
l'interieurde notre planete n'etait
sol ide que j usqu I a une profondeur
d'environ 2900 km. Cette partie est
appe1ee manteau de la Terre. Audessous, en raison des temperatures
e1evees qui regnent a ces profondeurs,
la Terre a un noyau liquide, forme
essentie11ement de fer fondu. Tout
au centre de 1a Terre, on a finalement un coeur de fer so 1 i de, d 'un
r a yon d I e n v i r on 1 3 0 0 km. Ce t t e
solidification est le resultat des
pressionsenormes, de plusieurs
millions d 1 atmospheres, qui regnent
au centre du globe. A )'interface,
entre manteau et noyau, la conduct i Vite electr i que change brusquement'
1e noyau 1iquide etant environ 1000
fois plus conducteur que le manteau
solide. A cause de sa rotation avec
1a planete, cette masse hautement
CO n du Ctr i Ce est 1e siege de phenomenes d I i nduct ion e 1 ec t romag net iques et semb1e fonctionner comme
une dynamo unipo1aire. le caractere
encore quelque peu conditionne1 de

54

cette affirmation est du au fa it que
1a repartition exacte des 1 ignes de
courant de 1a vra i e dynamo terres t re
n 1 a pas encore ete elucidee.
11 nous reste a comprendre pourquoi la partie pr inc i pa 1 e du CMT
est s i i r reg u 1 i ere a 1a s u r face d e
la Terre. Revenons a 1 1 interface
ent re manteau so 1 i de et noyau 1i qui de.
On do it admett re que cet te surf ace
n ' e s t n i b i e n f r a n c h e , n i p a rfa i tement spher i que. 11 y a une zone de
transit ion qui est 1e siege de forces
de frot temen t. La rotation du so 1 i de
entra1ne bien le 1 iquide, mais par
suite de causes qui ne sont pas
encore bi en connues, i 1 ya par
moments des differences de vitesse
de rotation ent re 1 i qui de et so 1 i de.
A cause de ces differences de vi tesse
et des irregularites de 1 'interface,
1e 1 i qui de s I ecou 1e de fa con tu r bulente au voisinage de 1 1 interface.
Mais puisque c'est danscette region
que circu1ent Jes plus forts courants
de la dynamo terrestre, ces courants
sont devies par la turbulence de la
matiere 1iquide et sont a 1eur tour
de nature turbu1ente. Le champ
magnetique produit par ces courants
irregu1 iers est Jui aussi irregul ier.
Vu 1a g rand e u r de 1 1 eche 11 e s u r
1aque 11 e se produ i sent ces phenomenes,
la duree des irregularites du
courant et du champ est tres grande
et de toute maniere, a cause de
1 1 e ff et de pea u c i t e p 1us hau t,
seu1es Jes fluctuations tres lentes
du champ peuvent etre per~ues a la
surface de 1a Terre; 1a duree des
fluctuations 1es p 1us rap ides est de
1'ordre de 10 a 100 ans. Une partie
des i rregularites du champ principa 1
provient done de 1a turbu1ence des
courants du noyau. Une deux ieme
partie provient des inhomogeneites
du manteau solide. La distribution
de ces inhomogeneites est e11ememe
sujette a une lente evo 1 u ti on; en
effet, malgre le qualificatif de
11
so 1 i de 11 , 1e manteau est en mouvement a des vitesses de 1 1 ordre de l
a 10 cm/an par ecoulement plastique
d 1 un ensemb1e de ce11u1es de matiere.

�Quant a la derive d'est en ouest
des an oma 1 i es du CMT, on ne sa it
pas, pour 1 1 instant, s 1 i 1 s 'agit
d I un phenomene pas sager ou permanent.
Ce s On t 1es re 1eves re Ce n ts' de
quelques centa i nes d 'annees au p 1us,
qui la re1event, mais on n'a pas
encore pu en confirmer l'existence
dans un passe plus lointain. Aucune
explication theorique de son
existence ne s'est d'ai 1 leurs imposee.

LE CfWP EXTERNE
Comme nous le disions plus haut,
la seconde contribution au CMT est
d'origine externe et comprend en
particu1 ier toutes Jes variations
rapides de ce champ. L'environnement
de la Terre se revele, a mesure
qu 1 on le connaft mieux, plus
comp1exe qu on ne le pen sa i t d I abord.
Au-dessus de 1 1 atmosphere terrestre, clans 1es couches inferieures
de 1aque11e nous vivons, on trouve
des reg ions t res divers if i ees de
par le nombre et le type de particules qu 1 e11es contiennent.
Certa i nes de ces reg ions ne renfennent
guere que des particules chargees,
electrons et protons, 1 iees a 1a
Terre precisement par son champ
magnet i que qui force ces part i cu 1es
sur des orb i tes assez bi en defi n i es.
Aces mouvements de particules
chargees sont associes des courants
en haute altitude et par suite des
ch a mp s ma g n t j q u e s . D I a u t r e s
particules chargees sont envoyees
ver s 1a Terre pa r 1e s o 1e i 1 , e n
meme t em p s q u e 1a 1um i ere , b i e n
qu I a des vi tesses 100 OU 1000 f o i s
moins grandes que la vitesse de la
lumiere. Ce vent solaire interagit
violer1111ent avec le CMT. Dans les
regions eloignees de la Terre le
vent solaire domine completementla
scene etablissant son propre champ
magnetique. Entre la surface de
choc et 1a magnetopause se t rouve
la zone ou les particules chargees
du vent solaire sont dev i ees de
leur trajectoire rectil igne par le

e

CHT ;

e

C I es t
1 a r g i O n OU V e n t
so 1a i re et CM T i n t er a g i s sent
violemment. A 1 1 interieur de la
magnetopause, la Terre reuss it a
etab 1 i r 1es 1 i gnes de force de son
champ, c'est la magnetosphere, mais
la magnetosphere se t rouve compr imee
par le vent solaire, tandis que de
l'autre cote le vent solaire semble
entrainer au loin les 1 ignes de
force du CMT. La compress ion du
CMT par le vent solatre produit
la surface de la Terre des variations di urnes o u j o u r n a 1 i r e s
Ca r a C t er i s t i q u e s ' d i ff er en t es
d'endro it en endro it, et dependantes
avant tout de 1a latitude.
Ma i s 1e vent so 1a i re n ' es t pa s
un vent regul ier; en real ite il est
connu pour ses sautes d'humeur, en
genera 1 imp rev is i b 1es, refl ets de
ce q u e 1 ' on a pp e 1 1e 1 'acti vi te
solaire. Le nombre et 1a grandeur
des taches solaires sont un indice
de cette ativite. Plus i 1 y a de
taches, plus la surface du soleil
est en activite et plus le vent
solaire souffle enrafales turbulent es q u i s e t rad u i sent , a 1a surface
de la Terre, par d I i mportantes et
rapides variations des parametres
du CMT. On parle a cet egard
d'activite geomagnetique ou, selon
Jes cas, d'orages magnetiques.
Comme l'activite solaire est
soumise a un cycle de 11 ans, avec
des annees calmes et des annees de
grande activite, il en va de meme
de l'activite geomagnetique.
11 y
a enc o re d ' au t res per i od i c i te s ,
soit 1 iees au systeme So lei 1-Terre
donna n t 1i e u en pa r t i c u 1 i e r au x
variations diurnes et a des variations annuel les, soi t au So 1e i 1
s e u 1 qui s em b 1 e
re s u jet
certaines variations periodiques
tres lentes, dont une de 60 ans,
une autre d'environ 78 ans, et
probablement d'autres aux per i odes
encore beaucoup plus longues. On
voit a ins i que 1 e champ externe
produit a la surface de la Terre
des fluctuations couvrant un
spectre quasi cont inu, depu is Jes

a

e

et

a

55

�periodes les p1us courtes (moins
d 1 une seconde) aux periodes 1es plus
longues. Le champ d'origine interne,
par cont re, ne peut cont r i buer qu 'aux
variations lentes, commen~ant par
les variations seculaires; mais nous
verrons maintenant comment, dans le
domaine des variations lentes, des
interactions entre Jes deux sources
de champ se produisent.
Des ins tab i 1 i t es de 1 a dynamo
terrestre ou des renversements
des poles magnetiques.
Nous avons vu plus haut que 1 a
dynamo uni po 1a ire n' est qu'un mode 1e
ext remement schemat i que de la dynamo
terrestre, dynamodonton ne conna,t
pas, en realite, le fonctionnement
exact, et surtout pas la distribution
des courants. Neanmoins on peut
tout de meme, tirer des conclusions
genera1es valables pour toutes les
dynamos unipolaires, en particul ier
celle de la Terre.
En circulant dans 1e disque et le
fil de la dynamo, le courant transforme de Jlenergie en chaleur qui se
perd, par exemple par rayonnement,
vers 1 'environnement. La source de
Ce t t e en e r g i e e S t me Ca n i q Ue : en
1 1 absence d' un moteur entra, nant
1 1 arbre de 1a dynamo, cel le-ci se
ralentit et finit par s'arreter. 11
en va de meme de la dynamo ter rest re;
bi en que ce soi t par 1 e bi a i s de
mecan i smes ma) connus, 1 1 energie
que dissipent les courants de
la dynamo proviennent en dern i er
ressort du mouvement de rotation de
la Terre. Notons en passant que ce
reservoir d'energie est tres grand;
1e r a 1en t i s semen t d e 1 a r o t a t i o n
terrestre se tradu i t par une
augmentation annue11e dela longueur
dujour de 20 mi 11 ion i emes de seconde
environ, ce qu'on peut aussi
exprimer en disant que la longueur
du jour, il ya 600 millions
d I annees, ne va 1a it q u e 2 1 de nos
heures. Une partiedu ralentissement
vi ent d I a i 1 1 e u rs d I aut res causes,
telles les marees et 1eur dissipation
d'energie par frottement.

56

Une Autre propriete de 1a dynamo
unipolai re est eel le de fonct ionner
indifferemment avec un champ
magnetique oriente paral lelement OU
antipara11e1ement a 1 1 axe de
rotation. Pour voir cela supposons
la machine en rot at ion, mais en
1 'absence de champ magnet i q u e; i 1
n 'y aura done pas non plus de
courant indu it. Supposons ma i ntenant
qu'une perturbation passagere produ i se un champ magnet i que para 11 e1e
a l'axe. Si la machine satisfait
certains criteres de construction,
cette perturbation i ndu i t des
courants qui renforcent le champ
perturbateur, ou pour le moins la
composante se 1on 1 1 axe de 1a dynamo.
Apres disparition de la perturbation
• il reste done un champ dirige dans
l'axe de la dynamo. Selon la direction de la perturbation on aura un
champ dirige dans un sens ou dans
l'autre de 1 'axe, et surtout on
voit que la situation ou le champ
• est nu1 est instable vis-a-vis de
la plus petite perturbation. Mais
la conclusion principa1e a tirer de
cette propriete de la dynamo
unipolaire, est que le CMTn'estpas
unvestigedupassequi va diminuant,
mais est continue11ement entretenu
par 1a rotation de 1 a Terre. La
dynamo terrest re est done une dynamo
se 1f-exci tee.
D I au tr e part s i
1 e mod e 1 e s i mp 1 i f i e de d y n a mo
est sensible aux perturbations externes, la dynamo terrestre avec
sa di st r i but ion de courants tres
comp 1exe et su rt out non 1oca 1 i ses
par des fi ls comme le mode le, y est
encore beaucoup plus sensible.
C'est la que se trouve le mecanisme
d' interaction entre les champs de
s o u r c e ex t e r n e e t i n t e r n e . La
dynamo terrestre est instable visa-v i s de cert a i ne s p e r t u r b a t i o n s
d'origine externe qui peuvent aller
jusqu'a renverser la polarite de
la dynamo terrestre.
En fa it, on
admet que la dynamo terrestreest
instable meme en 1 'absence de perturbations externes et 1'on a reuss i

�a

creer, en 1aboratoire, des dynamos
se 1f-exc i tees d I un type nature 11 ement
plus comp1exe, qui changent de
po1arite de fa'5on tout a fait
aleato ire. Les etudes pa 1eomagnetiques,
c'est-a-dire 1 1 etude du magnetisme
remanent des 1aves et des roches
sedimentaires qui se sont formees a
des ages di fferents, reve 1ent 1 ' histo ire du CMT et fourn i ssent une preuve
inden i ab 1e des renversements fr~quents
de la po 1ar i te du CHT. E11 es ont auss i
montre qu 1 i 1 y a eu, dans 1 e passe,
autant de per i odes av ec la po 1ar i te
que nous avons auj ou rd• hu i que de
periodes a polarite inversee.

PALEOMAGNETISME ET DERIVE DES
CONTINENTS
le pa 1eomagnet i sme n I a pas perm is
seu 1ement de conf i rmer 1es inversions
depo1ariteduCHT et de reconstituer
toute 1 1 his to ire de ses variations
seculaires en intensite et direction,
mais il est en train de fourni rune
information precise et deta i 11 ee du
mecanisme des inversions. 11 faut de
3 a 20 mi11e ans pour completer une
fnvers ion qui se man i fest e par des
signes precurseurs te1s qu'un aff a i b 1 i ssement de 1 •amp 1 i tude du CMT
a I a surface de 1a Terre et des
oscillations p1us rapides et plus
grandes de sa direction autour des
poles geographiques. Un comportement
semb 1ab 1e pr~cede 1e retab 1 i ssement
d • un regime p 1us stab 1 e en posit ion
inversee. Ces etudes, ilest certain,
permettront une comprehension mei 1leure de la dynamo terrestre.
le paleomagnetisme est en voie de
fournir encore bien d 1 autres clefs
vers la connaissance du passe de not re
planete. Faute de p 1 ace, nous ne
po u v on s en s i g n a 1 e r q u e 1a p 1 u s
revo 1ut i onna ire. le magnet i sme
remanent des roches d I u ne certa i ne
region conduit en genera 1 a des
resultats parfaitement concordants
quanta 1 1 histoire du CMT. Ces
regions sont souvent de la grandeur
d'un continent ent ier et i 1 est al ors
inter es s ant de cons tater que 1es

d i rec t ions de 1a magnet i sat ion
remanente d'une epoque bi en def in i e
convergent toutes vers un po1e qui
se trouve alnsi etre bien 1oca1 ise.
Si l'on passe a un autre continent,
ou que1quefois a une autre partie
d'un continent, on constatea
nouveau une concordance parfaite
de toutes les donnees de cette
nouve11e region, mais un desaccord
total avec ce 11 es dedu i tes des
echanti11ons du premier continent.
Une etude approfondie de ces
desaccords a demontre de fa~on
eclatante qu 1 ils provenaient tout
s imp 1 emen t de 1a derive des continents, a 1a surface de la Terre.
On a meme pu recons t ru ire 1 1 his to ire
de la derive des divers continents,
ou sous-continents, Pun par rapport
a l'autre durant les 600 mi11ions
d1 annees qui nous precedent. L'hypothese formu1ee i1 y a 60 ans par
Wegener se trouve non seulement
confirmee, mais on commence meme a
comprendre aujourd'huiles mecanismes par 1esque1s ces derives se
sont produ i tes. Les donnees recue i 11 ies jusqu'a ce jour suggerent qu 1 i1
ya quelques centaines de millions
d'annees encore, toutes 1es terres
emergees ne formaient qu 1 un seu1
continent. Le morce11ement qui
a suivi s 'est fa i t en p1usieurs
etapes. Par exemple, 1 1 As ie
d I auj ou rd I hu i comp rend un souscont inent, 1 1 lnde, qui a vogue seul
a UOe Certa j ne epOqUe, apreS SI etre
detache d 1 une plaque qui contenait
l'Afrique et 1 1 Antarctique il y a
probablement moins de 100 mill ions
d 1 annees, pour heurter la masse conti nenta 1e de 1 1 Eurasie (nom donne
au b1ock Europe-Asie)voici 30 a 40
mi 11 ions d' annees seulement. Les
p 1 i ssements et sou 1evements qui ont
forme la cha1ne des montagnes
de PHimalaya en sont 1a consequence
et 1 'on a de fortes raisons de
penser que la poussee du souscontinent indien sur 1 1 Eurasie n 1 a
pas encore cesse.
Nous avons pu nous conva i ncre que
1a science du geomagnet i sme a pro-

57

�gresse bien au-dela de l'art de la
boussole et qu 1el1e fourn it aujourd 1
hu i • un des moyens d I etude 1es pl us
p~issants de~ ~henomenes geophysiques, c'est-a-dire des
phenomenes qui se "passent et se
SOnt:paSSeS autOUr'et a l I interieur
de notre plahete. La' connaissance
de"cepasse et des mecanismes act ifs
pres"ehtement nous condufra peutetre a modifier notre comportement
et influencera la prf se de certaihes
dedsions, la bu Jes activites
huma ines sont" en interact ion avec
l•s processus naturels.
I ,'tNous ecrivons en itaHque Jes
termes du JargonscieAtifique a
leurpremiere apparition. Ces termes
ont eA geheral une signification
scientiHque bien precise dans le
Jangage du, chercheur· special ise~I

• Apres avo1.r obte'.nu un diplome' de
physicif!ri de l'Edole Polytechn£que
Federale de Zurich en 1953, Gaston
Fischer s'engagea dans une Carriere
en physique des do.rps sol ides. I l
s'est interesse' tour a tour aux dielectriques,aux semiconducteurs et
a·ux metaux. Un travail sur les
prop.r ietes semiconductrices de InSb
qu'il f i t au Canada lui permit
d'obten1.:t son doctora.t de l'Universitre' de Neuchatel en 1959. C' est
en etudiant le dompoitement de
metaux aux fr~uences inidro-ondes
qu ' i l s 'i'.nteressa au phenomene de
la supraconductivite. Depuis
environ deux ans M. Fischer est
cod'i.r~cteur de l 'Observatoire
cantOnal de Neuchatel et son
activite s' est d~placee ve.rs les
sciences de la Terre, en partier.Hier
le geomagnetism~.

Cet article a paru d'abord dans
la Revue Polytechnique (G~neve,
ju in 1973).

58

I

COMPUTERS HELP AMPUTEES 1

AN ITEM IN THE MONT~EAL GAZETTE OF
NOVEMBER 27, 1973 REPOR1ED THAT PERFECT. LIMB REPLACEMENTS f"OR AMPUTEES
AAE BEING DEVELOPEDWITH THE HELP OF
. C()vtPUTERS. THE UN IVERS I TY OF BR I Tl SH
"COL~IA, IT SAID, IS PUTTING THE
FINISHING TOUCHES TO RESEARCH, WHICH
HAS AS ITS OBJECT THE PROVISION .FOR
AMPUTEES OF UMBS WITH PROPORTIONS
IDENTICAL TO.THOSEOFJHE LOST ONE.
IT·WAS REPORTED THAT JAMES DUNCAN,
WHO HAS ASSISTED IN THE DEVELOPMENT
OF THE ARTIFICIAL LIMB APPARATUS,
SAID THAT EACH YEAR t-t)RE Tl-iAI\I 20;000
ARTIFICIAL LIMBS ARE NEEDED IN NORTH
AMERICA. ··UNTIL NON. IT HAS· BEEN NECESSARY FOR DOCTORS AND ME-CHANLCSTO
MEASURE THE LIMB PHYSICALLY, MANIPULATE THE ALREAO¥ TRAUMATIZED
PATIENT AND MAKE SEVERAL FITTINGS.
THIS IS NATURALLY PSYCHOLOGICALLY
DISTURBING AND DISTRESSING~
THE NAT. I ONAL AND MEDICAL RESEARCH
COUNCILS IN OTTAWA HAVE BOTH BEEN
SUPPQRTING THE UNDERT%fNG FINANCIALLY
SO THAT.DUNCAN AND A SKILLED TEAM OF
PR()fESSIONALS IN MEDICI1'!E, MATHEMATICS

!

0 0
~I~
~"=bc~F

~i~~H~·~ ~~

RECORDING ON TELEVI S ION,THE .DIMENSIONS
AND DETAILS OF THE LIMB.
•
THE COMPUTER IS INFORMED' OF THESE
MEASUREMENTS, BY TELEPHONE IN SOME
CASES. THEN THIS INFORMATION JS REASSEMBLED AND FED INTO A MACHINE
WHICH ACTUALLY MAKES THE FINAL CAST .
THE PICTURE IS COMPLETED, DUNCAN SAID.,
BY "LIMB COSMETICS'', WHICH GIVE THE
LEG OR ARM ITS SMOOTH; FLESHY APPEARANCE AND HIDE.THE MECl-iAI\IICAL DETAILS.
IT CAN TAKE LESS THAN 24 HOURS TO
Ca-1PLETE THE PRODUCTION OF A LIMB AT
A COST OF LESS THAN. $ 1 0 0., EXCLUSIVE
OF MECHANICAL JOINTS. THE PROJECT HAS
TAKEN FOUR YEARS ..
THEIR NEXT PROJECT IS TO LAUNCH INTO
"THE CLINICAL STAGE OF TRIALS WI TH
PATIENTS IN VANCOUVER AND OTHER
Cc:&gt;r-'MUNITIES". □

�THE CONTINUING ADVENTURES OF MATHMAN
By The lakehead University Math Club

SUMMARY OF PREVIOUS ACTION
After finally reducing the 8th
degree differential equation to a
' series of harmless 1st degree
differential equations, l1ATHMAN
was heading home to his Locally
Compact Hausdorff Space on his
trusty homomorphism, HANS.
Hiding under an open cover, his
Arch Enemy SIN -l
chose a lethal
2 &gt; O from his arsenal of :real
numbers. Heedless of the HeineBorel property, the villain
projected his e: right through a
f.inite subcover at our hero!
Having previously predicted the
probability of this event was
negligible, MATHMAN was caught
with his functions down. Frantically he grabbed his pocket
APL terminal and by inspection
sought a suitable o &gt; 0 depending
only on 2 to make the sequence
of destructive elements to
converge in a harmlessly distant

½

Hilbert Space!
Will he find a suitable o?
Will the computer stay up?
Will SIN-If ever converge?

slipped, MATHMAN f e 1 1 headfirst
i n to t h e b a c kw a rd Ko l mog o ro v
Equation where the one-step
transition probab i 1 l ty matrix
instantaneous iy bound our hero
in Markov Chains!
This sent
chills up and down his triangular
spline. But MATHMAN was not
thwarted!
11 SIN- 1
put you up to this! 11
accused MATHMAN.
From his utility belt, MATHMAN
pulled out his Ax-lorn of choice
and chopped his bounds l nto independent random variables.
U s i n g re v e r s e Po I i s h not at ion
MATHMAN escaped back to his
Riemann Surface!
Will MATHMAN slip again or will
MATH MAN I s trusty homomorph i s m,
HANS, rescue our hero from the
Slippery Surface?
After having iterated his way
out of the Black Hole of RungeKutta, MATHMAN was imagining the
complex numbers when he found the
nasty eit and his alter-egos cos t
and i sin t oscillating around him.
11 s1N- 1 ~
put you up to this!; 1
accused MATHMAN,
Just then his trusty homomorphism,
HANS, arrived with MATHMAN 1 s girlfriend LN who turned the tab l es
(six place) on eit and got it.
While LN threatened i t with
DESTRUCT I ON
MATHMAN attacked
cost with his arc cos tables!
Wi 11 i sin t escape?
Wl i l U! realize it?
Is this story imaginary or real?

t

!

NOW READ ON
Having poll shed his Riemann
Surface to such a degree that he

TRIOOLOGY: TRIBOLOGY;, DEF I NED AS
1 THE SCIENCE AND TECHNOLOGY OF INTERACTII\IG SURFACES IN RELATIVE MOTION
AND PRACTICES RELATED THERETO' " DEALS
WITH ALL ASPECTS OF RUBBING, SLIDING
AND ROLLING SURFACES. IT IS BASED ON
A NUMBER OF DISCIPLINES., INCLUDING
ENGINEER!~., PHYSICS; METALLURGY AND
CHEMISTRY, APPLICATION OF ITS PRINCIPLES LEADS NOT ONLY TO GREATER

I,

OPERATIONAL EFFICIENCY AND PRODUCTIVITY BUT TO CONSERVATION OF THE
MATERIALS AND ENERGY, CONCER~JED AS
IT IS WITH SUCH PHENf'JJlENA AS FR ICTI ON., WEAR AND LUBRICATION, IT IS

NOW A SUBJECT IN ITS OWN RIGHT IN
WHICH BRITAIN IS ACKNOWLEDGED AS
A WORLD LEADER, THE FIRST EUROPEAN

CONGRESS ON TRIBOLOGY WAS HELD IN
LONDON IN SEPTEMBER, 1973,

□

59

�SOLUTIONS

60

�DIFFICULT CROSSWORD WITH INTERNATIONAL CONNOTATIONS

ACROSS
1[8,6] The deep Pacific, near the
Phill ipines
7 [7] Blood poisoning
8 [8] The highest large lake
9 [5] High U.N. officer (retired)
10 [3] Ancient Roman ballot box
11 [4] A sea in the U.S.S.R.
13 [4] A precious product of Lead
(U.S.A.)
15 [41 Facts and figures
17 [4] 8 across is hardly a this
this
19 [3] A reciprocating Eng 1 i sh river
20 [5] To seize without right
22 [8] The beard of Napoleon II I
conforms to English weights
and measures
23 [7] A desert train
25[8,6] A Russian island with a
Portsmouth connection

*

DOWN
1[~3J] A Drakensberg peak
2 [7] Entangling
3 [5] A banana, not far from
across
4 [3] This bit is small-time
5 [8] A Thai tractor
6[5,9] A cardiac patient may need
this
7 [4] The source of the Blue Nile
11 [4] His apple is caused by the
male thyroid cartilage
12 [4] 13 across is found here
14 [7] A characteristic of scientific
activity
16 [7] A radiant inhabitant of the
ocean
18 [4] The emerald isle
21 [5] A desert, scene of
hostilities
24 [3] A bore

FUNK &amp; WAGNALL'S STANDARD DICTIONARY IS A USEFUL REFERENCE.
61

�QUICK ~ CROSSWORD

ACROSS
2[5] The beginning
5[5] An arm joint
6[5] A Mediterranean country
7[5] A citrus fruit
9[3] An Antipodean bird
11[5] A city in 5 across
13[3] Regulation
15[9] Cessation
16[3] Bitumen
18[5] Mobile male seed
19[3] Long-wave light
21[5] The microwave equivalent of
13 down ( the in it i a 1 in it i a 1
is changed)
23[5] A leg bone
24[5] A borer
25[5] A negative credit

62

OOWN
1[5]
2[3]
3[3]
4[5]

8[9]
9[5]
10[5]
11[5]
12[5]
13[5]
14[5]
17[5]
20[5]
21[3]
22[3]

A collection book
A nocturnal predator
A can metal
Botanical growths
Scientists and hobbyists
Precise and accurate
The higher state
A city is a judge of
beauty
A teagrowing province
A source of coherent
1 ight
The whole bit
A rose pest has his pa
A downy water fowl
Demented
A rodent

�If you have enjoyed reading Caret, please write to us.
If you have n.ot enjoyed reading Caret, please write to us.
If you would like to contribute an article, please write to us.
If you have any suggestions for improvements, please write to us.

11

CARET"

Lakehead University
Thunder Bay, Ontario
P78

5E1

�PLEASE LEA VE ME
ABOUT FOR OTHER
STUDENTS TO READ

OUR COVER

A science lecture theatre in a Russian
university, almost indistinguishable from one
in an older Canadian university.

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&#13;
Articles on a variety of topics:&#13;
University Science Squad - helped the University of Papua and New Guinea in Port Moresby and high schools improve science courses&#13;
Archaeological dating in Australia around Lake Mungo&#13;
Noise Pollution&#13;
Birla Institute of Technology in Ranchi India&#13;
Nuclear technology&#13;
Thermodynamics&#13;
 Water pollution&#13;
Interview wit Graham Chandler from University of Salford in England&#13;
Organization and management of science in the USSR&#13;
Research on Lakes Victoria and Chad by Lakehead University faculty, John S Mothersill, in Uganda and Nigeria&#13;
Nouvelle technologie la supraconductivite (In French)&#13;
Aristotle's ideas on motion&#13;
Kenora environmental survey&#13;
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g

I

LAKEHEAD

UNIVERSITY

SCIENCE REVIEW

'· t

VOLUME 1
A PUBLICATION OF THE ONLY

NUMBER 2

FACULTY OF SCIENCE THAT TRULY

UNDERSTANDS

ONTARIO

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- •

�OUR COVER
Dr. John Ryder, an ornithologist of international repute has been
studying the habits of the graceful ring-billed gull which frequents
Thunder Bay and occasionally makes excursions onto the University campus. Two articles in this issue describe the observation
post. In the cover photograph, gulls are to be seen incubating their
eggs in the grassy areas while the guards on the rocky areas stay alert
to the danger from predators and interference from "foreigners".

�I.I

Minister of State

Ministre d'Etat

Science and
Technology

Sciences et
Technologie

January 18, 1973.

Dr. John Ha rt ,
Department of Physics,
Lakehead University,
Postal Station 11 P11 ,
Thunder Bay, Ontario.
Dear Dr. Hart:
You have asked me to furnish you with a letter
which will indicate the importance of science and
technology to young people.
I do not know that there are aspects of science
and technology which have relevance~ to the young.
It seems to me that science and technology vitally affect
the well-being of all Canadians and the future of
Canadian society asa whole.
Perhaps it is because of its effect on the
Canadian society of the future that you have directed
attention particularly to young people. They unquestionably
will inherit the benefits of our stewardship of science
and technology. They also will bear the burden of the
negative aspects of that stewardship.
More and more we are realizing that science and
technology are, after all, two-edged swords. Every day
the message becomes clearer that we must orient our
scientific and technological efforts towards pre-determined
goals. It is, of course, impossible to predict all the
effects of a given innovation before it is invented.
Yet we must hope that by directing our energies to the
solution of present and foreseeable problems of importance
to our society as a whole, we can help buil"d a better
Canada and avoid the unfortunate side-effects that certain
inventions may bring.

. .. I 2

�- 2 Dr. John Hart,
Lakehead University.

January 18, 1973.

At this stage the problem becomes one of
choosing the most desirable directions. These choices
will inevitably be dictated by the system of values
of the society and of the individuals that make up
the society.
This is the most important point for the
young to remember, namely, that the mere existence
of scientific and technological knowledge places an
obligation on them to learn, question and evaluate
both that very knowledge and the value structures of
past and present societies. Since no single person
can have all the answers, everyone must contribute,
or our society will surely fail in its fundamental
obligation to provide a life worth living for its
members and their descendants.
I hope that this will meet at least part
of what you had in mind.
Yours sincerely,

1

't~

LI ►._,

(Mme) Jeanne Sauve

�a le of Contents
1

Editorial

2

Letters to the Editor

5
10

12
15
19

22
23
24
28

31
33
36
38
41
42
43

46

48
50
51

55
58
59

DO SCIENTIFIC EXPLANATIONS EXPLAIN?
THE PLACE OF SCIENCE IN EVERYDAY
THOUGHT
SCIENCE AND APPLE PIE
BASIC AIR NAVIGATION - A LOST ART?
THE CONSTRUCTION OF AN OBSERVATION
TOWER
THE USE OF AN OBSERVATION TOWER
BIOLOGY FROM THE STUDENTS' EYE VIEW
THE RESPONSIBILITIES OF BIOLOGISTS
THE CATALYTIC REMOVAL OF AIR
POLLUTANTS - QUO VADIS?
DETERGENTS AND OUR WATER
THE CTS PROJECT ANO SOME EDUCATIONAL
IMPLICATIONS
PRESENT AWARENESS
HARWELL ATOMIC ENERGY RESEARCH
ESTABLISHMENT
THE EFFECTIVE SHAPE OF A MOLECULE
PHYSICS ANO BIOLOGY - ARE THEY
SEPARABLE?
FUTURE CAREERS
HIGH SCHOOL "DROP OUTS"!
SO YOU WANT TO BE A NURSE?
A BRICK PROBLEM
INTERVIEW WITH LAKEHEAD UNIVERSITY
CHEMISTRY STOREKEEPER: Bert Harding
THIN SECTIONS
HOW MAY TEACHERS KEEP IN TOUCH WITH
EXPANSION OF THEIR SUBJECT?
ARE TEACHERS BORN OR MADE?

J. Douglas Rabb
E.S. Bodzin
Jim Wheeler
Air Vice Marshal D.A.R. Bradshaw
John R. Butler
John Ryder
Jean Pekkala and Frank Cartwright
C. A. Elsey
Robert A. Ross
Gordon Francis
T. R. Ide

A Liberal Science Student
Huw Dorkins
E. Tyrral 1
Margaret Hawton
Moe Ktytor
Maurice G. Black
Madeline Hookings
J. H. M. Whitfield
R. L. Bennett
J. S. Griffith
Casey A. Gehrels

�continued ......

60
61
62
64
67
69
73
75

THE ADVENTURES OF MATHMAN
LAKEHEAD BECOMES CANADIAN OPEN UNIVERSITY
TRANSLATION ON A COMPUTER
BLACK AND WHITE HOLES
A PACKING PROBLEM
THE SCIENTIFIC APPROACH TO THE GAME OF
BRIDGE
CROSSWORDS
QUICK CROSSWORD

L.U. Math Club
Edward Mercy
K. H. V. Booth
J. S. Griffith
J. H. M. Whitfield
Larry Hansen

�Car t
A LAKEHEAD UNIVERSITY SCIENCE REVIEW
incorporating
LAKEHEAD UNIVERSITY MATHEMATICS
AZETTE
(kar 'at) n. A sign ( A or A )
placed below a line to indicate
where something should be inserted.
Our CARET symbolizes the disastrous
communications gap between High Schools
and Universities: the bridge across it
is missing and we will hope to span the
void if only with a gossamer thread.
Let us know what kind of articles you
would like to see.
Write an article
yourself and send it in. Push your
science teachers into sending us stories
about their scientific and personal interests, or write about them yourselves
(what an opportunity!) Above all, don't
think that what you have to say will not
be of any interest to us: let us be the

judge of that. And, please don't assume
that university scientists are somehow
not quite human; we experience the same
emotions of fear and hope, love and
hate as the majority of human kind.
The views expressed in CARET do
not necessarily reflect the opinions
of the Editor, the Faculty or the
University.
CARET is published by the
Faculty of Science of Lakehead
University, Thunder Bay, Ontario,
Canada. P7B 5El

Our Competition
The four volume Encyclopaedia goes to
Nancy Hathaway,
18-32 Arden Avenue,

Winnipeg, Manitoba.

R2M 2J9

She proposed the tit 1e SCIENTIFIC CHANNEL,
which she says 11 incorporates the ideas of
a bridge between high schools and science,
and of tuning in to science".

It's a good title, Nancy; but
the competition board have decided
to stick to the old title after all,
so CARET is still CARET.
To everybody who returned the
forms, a big THANK YOU. we hope you
will write to us again, and keep us
informed. Communication has to be
two-way, so LET US HEAR FROM YOU!

Editorial
The production of the first number
of a magazine is an adventure: the
initial impetus is bound to be strong
and the problems of production are
seen as a challenge. The real test
of success is the second number which
is produced on the basis of experience.
Modifications in technique are introduced, and the Editor has a somewhat
more perceptive view of his constituency. Many an editor has quailed before the task of producing a second
edition, and national libraries are
graveyards of one-issue journals.
CARET has made it! We have learned some lessons, and have modified
our ambitions in terms of the paper
and print, but not our demand for
good authorship. We are gratified
that we have articles in cold storage
far in excess of the quantity we can
publish and we shall continue to approach likely authors for subjects
of special interest. It is very rare
for us to receive a refusal as this
number amply demonstrates: in these
pages are as wide a range of topics
as one would meet anywhere, with
authorships from laboratory technicians up to the Minister herself.
In some ways, we seem to be too
successful. Science teachers seem

�to have developed the habit of taking
CARET home for their families to read
and 1 forgetting 1 to bring it back.
Shame on you! We have visited schools
throughout Northwestern Ontario, and
it is a rare occurrence to find students who are even aware of its existence. At fifty cents, CARET is a
bargain, and surely deserves the
widest circulation?

collections for the best essay discussing the reasons why our complicated life-style prevents us from
being rational.

LETTERS TO THE EDITOR

Sir:

DEPARTMENT OF GEOLOGY OFFERS VALUABLE
PRIZE - CHAIRMAN TAKES AIM AT THE
AUTOMOBILE
Sir:
The U.S. Government has introduced
legislation aimed at reducing pollution of the atmosphere by auto exhausts. The major manufacturers of
autos have responded by fixing control systems to engines which meet
the stringent requirements laid down
by law - but increase the consumption
of gasoline by as much as thirty per
cent. What a waste of a resource, the
availability of which is becoming less
and less.
Following a recent editorial in
'Science', I bring to your attention
a solution to the pollution problem.
Since most autos in North America
weigh about two tons and have 300
cubic inch engines, let the Government pass legislation to restrict
the weight of autos to a maximum of
one ton and the size of engines to
150 cubic inches. At once, pollution
is halved and so is the need for gasoline.
Since this simple solution is not
possible, given our present economic
and social system, I offer a handsome
mineral specimen from the Departmental

Yours etc.

Edward Mercy, Chairman,
The Geology Department,

Lakehead University.

I have read your first edition
(January 1973) and must say that I
enjoyed it very much. In your opening remarks you asked for suggestions
for a title and suggestions of what
kind of articles should be included
in this magazine. Below are some suggestions, which I hope will be of
interest to you.
First
of all,, I think
'' Science Sum•
1974
mat1.on" or "Science};"
would
be a
11H3
good title for your ma.gazine, since
it would seem to me that one of your
chief aims is to give the scope of
scientific learning and information.
Also, because there are these interrelated yet distinctive areas of
scientific study, it would seem
feasible to have sections in the
publication set aside for each of
these areas - somewhat like you did
for the Math section in your January
edition but perhaps not as long.
Another aim of your magazine would
seem to be an interchange of scientific happenings in Northwestern Ontario
as well as Lakehead University, thus
why not contact difference science
chairmen and/or teachers* (who in
turn could contact students) in the
High Schools of Northwestern Ontario
and have them submit articles which
could be published in a Northwestern
Ontario section. This section should
include short reports from each of
the communities in Northwestern
Ontario. They should be encouraged

�to send in several reports and the
best ones be printed. Also any reports that are too long for this
section could then be placed in one
of the specific subject areas (i.e.
Math, Physics, Biology, etc.) or
could be placed in the miscellaneous
section, which would follow "Letters
to the Editor as it does in your
January edition. More reports on the
different courses and comments such
as "Liberal Science" articles would
be appreciated.
It might seem as if I'm suggesting
that you publish a choppy magazine,
but what I'm really trying to say is
that Mathematicians would automatically turn to the Math section first and
then read the other articles; Physicists would turn to Physics; Northwestern Ontario readers would turn to
Northwestern Ontario and compare notes
and programmes and get ideas, and in
each case the rest of the magazine,
especially if they found their section
interesting and informative.
This leads me to my last suggestion
that the first page should not only
include letters to the editor but also a list of contents and a statement
as to whether this is a monthly, bimonthly, etc. magazine so that subscribers would know when to get their
reports in and readers would know
when to watch for the next edition
of the magazine.
I do hope I have not wasted your
time with these few scribblings and
if I can be of any assistance in
any way feel free to contact me.

The Physical Nature of the Earth is merely Geology la6 which is the
first-year course for specialist
students who wish to continue in
the field of geology". May I correct
this statement?
Geology la6, and therefore LS1O4,
is one of the few science courses
which is open to any student who has
the pre-requisite, "A grade 13 Science
Subject". In this year's class, there
are students from each of the five
science majors, from both the Liberal
Science and General Science programmes,
as well as students from the Departments of Geography, Economics, Psychology and Sociology. It is not a
course for the specialist student and
certainly is not a course 'geared'
towards the Liberal Science student.
If it is 'geared' to anyone it is to
the intelligent student.
Yours etc.

Edward Mercy, Chairman,
The Geology Department,
Lakehead University.

Sir:
Congratulations on an excellent
Volume 1! Our students, teachers and
myself found the articles most interesting.
Find enclosed a recent experiment
that my Environmental Chemistry class
conducted this past two weeks. The
students enjoyed the experiment, and
are presently inviting other students
in the school to bring their own detergents from home for analysis.
Gordon Francis wrote up a small report for our school newspaper, which
is a bi-monthly, maybe you can use it.
Looking forward to your next edition.

Yours etc.

Sheila Flesher,
333 Ogden Street,
Thunder Bay F, Ontario.

*We did! - Ed.

Yours etc.
Sir:

Bob Aitken,
Lakewood Secondary School,
Kenora, Ontario.

On page 22 of the last issue there
appears the statement that "LS1O4 3

�often difficult to learn and even
more difficult to apply to
em
solving. It is true that in
sity, you will discover that some
of the things you were taught at
lower levels were crap! That's 1
part of the excitement of science.

Sir:
I have just read a copy of your first
issue of CARET. You have developed a
very worthwhile publication which I suspect will go a long way toward bridging
the university - high school gap that
seems to exist everywhere. This will be
specially true if you can encourage
high school teachers to contribute.
would you please be so kind as to place
me on your mailing list.
I am taking the liberty of sending
you a copy of our publication, Physics
Teaching Today, which is making some
progress in increasing communication
between the university and the high
schools.

Dear Professor:
I'm very keen on chemistry, and
get good marks. Sometimes I do things
in the laboratory which I'm not supIXJSed to do, and make an awful stink.
I think I'm being original, but my
teacher is threatening to ban me
from the lab. Why can't I be left
alone?
- w.J.

Yours etc.

Dr. Richard Reis,
Assistant Professor,
Department of Curriculum and
Instruction,
Memorial University of Newfoundland - St. John's.

Dear W.J.
Burning flesh smells terrible.

Write to:
PROFESSOR PSYMPATHI,
c/o THE DEAN OF SCIENCE,
LAKEHEAD UNIVERSITY,
THUNDER BAY, ONTARIO.

Thank you, Dr. Reis. Physics Teaching
Today is a lively publication - where
did you get that centrefold Playmate?
- Ed.

P7B 5E
■ Say first, of God above, or man
below,
What can we reason, but from what we
know,
Of man, what see we but his station
here,
From which to reason, or to which
refer,
Through worlds unnumbered though God
be known,
1 Tis ours to trace him only in our
own.
can
rough vast immensi
He, who
pierce,
See worlds on worlds compose one
universe,
Observe how system into system runs,
What other planets circle other suns,
What varied being peoples every star,
May tell why Heaven has made us as we
are.

PROFESSOR PSYMPATHI ADVISES
Dear Professor:

My teacher says science is all facts,
but I try to argue with him that it's
no good learning them because they're
all crap and will be changed by the
time I get out of school, and then he
gets mad, and throws me out of the
class. Why should I learn all this
stuff?

- G.K.

Dear G.K.
Some parts of science are so well
established that they can rightly be
ca 11 ed facts
These facts a re
II

II

11

•

II

.

4

�DO SCIENTIFIC EXPLANATIONS EXPLAIN?
By J. Douglas Rabb

THE SCIENTIST IS NOT A PASSIVE

is, ~hose sciences such as physics,
chemistry, geology and biology, in
which observation plays an important
role. 1 Although we all know, in some
sense, what observation is it is
.important to realize that there
'
are
some striking differences between
scientific observation and our
ordinary sightings and noticings.
Scientific observation is,
generally speaking, undertaken in
order to put some tentative hypothesis to the test. The scientist is
then, not merely a passive observer;'
rather he sets out deliberately to
make certain observations for a
particular purpose. As Charles Darwin
once put it "AU observation must be
for or against some view if it is to
be of any serviae." 2 One of the most
important aspects of scientific observation is the demand for public
verifiability or objectivity. That
is, any particular scientific observation must be capable of repetition
by~ any qualified observer. As the
contemporary philospher of science,
Max Black puts it:

OBSERVER
Do scientific explanations
explain? I have suggested to the
author of this paper, whom I know
quite we 11 - he being myse 1f, that
this question is a rather silly
one. Surely it is obvious that
scientific explanations explain.
Indeed that is why we call them
'explanations'. The author, whose
opinion I greatly respect, has replied that in asking this question
he was, in fact, wondering whether
scientific explanations actually
increase our knowledge and understanding of the world. But surely
this too is a rather silly question.
Has not the advance of scientific
knowledge over the past few decades
been one of the most dramatic accomplishments of mankind? Is not the
purpose of scientific inquiry to
unravel the mysteries of the universe?
This certainly seems to be the most
common belief concerning what science
is up to. But if one is bold enough
to ask whether or not this prevailing
opinion is correct, and the author of
this paper assures me that he is then
.1t seems that we are back to the ' question with which we began - i.e., Do
scientific explanations explain? But
how does one go about answering this
sort of question, as opposed to
telling other people not to ask it?
First, it will be necessary to establish what exactly a scientific
explanation is -what sort of thing
we are doing when we are offering
this kind of explanation. Only after
this is accomplished can we even begin
to ask whether or not scientific explanations increase our understanding
of the wor 1d.
It should be noted that I am
primarily concerned with what may be
called the empirical sciences - that

" .... the report of the individual
scientist gets no more credit than
it can win through the critical
repetition of the observations by
other scientists ... The requirement for public verification ...
is the best instrument we have
against personal bias and prejudice. u 3
However, this demand for public
verifiability has exerted a most interesting influence on the sort of
observations scientists are willing
to admit. Since the observations must
be repeatable they are limited to
those about which no dispute could, in
practice, arise. Since sight is the
most accurate of our senses, the observations are usually 1 imited to
visual ones. And as Max Black correct5

�ly points out in a most illuminating
passage:

unconscious
in general, theoretical
constructs. Theories of this type can
only be confirmed indirectly, since
we cannot observe the entities or
properties to which they refer. By
indirect confirmation, I mean the
following: we can deduce that if the
theory were correct then a certain set
of observation statements would then
be true. If the observation statements
turn out to be true then the theory is
confirmed, or at least on the way to
being confirmed. But if some or all of
the observation statements which would
be true if the theory were correct, in
fact, turn out to be false then the
theory is incorrect and must be discarded or at least amended.
In order to facilitate discussion
of this argument it is helpful to state
it in rather more formal terms. If we
let the statements expressing the theory or explanation be represented by
the statement-variable 'p 1 and the
observation statements by 1 q 1 then the
important part of the above argument
can be stated very simply as follows:
if p then q,but q is false, therefore
pis false. It has been argued by some
that this deceptively simple argument
form which logicians honour with the
Latin name modus tollens 5 is, in fact,
at the very basis of the validity of
the empirical sciences. 6 If this view
is correct, and I am inclined to believe that some such view must be
correct, then two important consequences follow. The first is that the
scientist is constantly searching for
ways of falsifying currently held
theories. Rom Harre, a philospher of
science at Oxford, summarizes this
kind of account of scientific investigation as fo 11 ows:

"What needs to be seen tends to be
increasingly narrowed down to the
position of a pointer on a numbered
scale .... The situation to be observed is defined in the light of
increasin~ly more complex theorry,
and what ~s recorded becomes increasingly something selected,
abstracted, or calculated from the
direct observation. The ,,fe it
warmth" of an object is rep laced
in turn by the readings of a mercurry thermometer, a "caleulated
value" that is "corrected for
errors" . . . It is for this reason
that reports of scientific investigation become increasingly hard for
the layman to follow. It is not
merely that the scientist has come
gradually to discover unusual and
hidden phenomena; the cause of the
obscurity is still more to be found
in the transformations imposed on
common-sense concepts by the criterion of pub Zic veri fiabi Zi ty. 114
What Black is here drawing our
attention to is the increasing mathematization of the observation statements
used by scientists. In fact, it is partially for this reason that mathematics
is popularly regarded as the tool of the
sciences. I will, however, argue shortly
that mathematics has a much more fundamental role to play in the empirical
sciences.

THE ACID TEST
Thus far I have been discussing only
scientific observation. Scientific explanation, however, involves much more
than mere observation statements. In
fact what is observed is often •explained' in terms of what is, in principle,
unobservable. A scientific theory may,
for example, make reference to such unobservables as electrons, genes, the

" ... we begin with certain vaguely
formulated ideas about the way things
are and how the world works 3 giving
us a certain horizon of expectations
about what will happen in given
6

�circumstances. This we make more precise by constant refinement as we find
reasons for rejecting those parts of
our vague view of the world which do
not fit in with our further experience
... laws of nature are always provisional, their temporary acceptance
meaning that they have not yet provided any grounds for their own rejection. " 7
The second consequence of this view
of scientific explanation is that the
validity of the empirical sciences is
ultimately dependent upon pure mathematics. The mathematician and philosopher, Bertrand Russel1, in his famous
essay on 1 Mathematics and the Metaphysicians' offers the following definition of pure mathematics:
"Pure mathematics consists entirely
of assertions to the effect that~ if
such and such a proposition is true
of anything, then such and such
another proposition is true of that
thing. It is essential not to discuss
whether the first proposition is really true, and not to mention what the
anything is, of which it is supposed
to be true. Both these points would
belong to applied mathematics. We
start, in pure mathematics, from
certain rules of inference, by which
we can infer that if one proposition
is true, then so is some other proposition ... Thus mathematics may be
defined as the subject in which we
never know what we are talking about,
nor whether what we are saying is
true. " 8
Since I am suggesting that the
validity of scientific explanation depends upon the kind of logico-mathematical arguments Russell is discussing
here, it follows that mathematics is
not merely the tool of the empirical
sciences, but is rather at the very
basis of their reliability.

NECESSITY FOR COMPETING HYPOTHESES
But is my suggestion correct? Is
scientific explanation based on the
modus tollens argument mentioned
above? Is science the constant search
for observations which will falsify
its hypotheses and theories? Of
course, the position as I have stated
it is grossly oversimplified. The
scientist, quite rightly, would not
allow one observation, or set of observations, to falsify a given theory.
He must first have a competing hypothesis from which the observation
made can be deduced (explained?).
Further in referring to the statementform 'if p then q' I have been talking
as if 1 q 1 stands for observation statements and premiss-set 1 p 1 stands only
for statements making up scientific
theories. However, something must also
be said about law-like statements and
statements describing the antecedent
conditions of the phenomena described
by 1 q 1 • The account of scientific explanation that I am suggesting would
not be complete and could not be defended unless sc:rnething was said about
all the above. But this, the reader
will be relieved to see, is completely
beyond the scope of this short paper.
As the French philosopher, Voltaire,
said somewhere "The surest way to be
a bore is to leave nothing.unsaid."
Actually what Voltaire said was "Le
secret d'@tre ennuyeux c'est de tout
dire" but I prefer the rather l i bera 1
English translation.
As I said above I cannot offer
conclusive proof that my description
of the logic of scientific explanation
is correct. I will, however, offer
some evidence to show that I am, at
least, on the right track. I wi 11 not
appeal, as I might, to the actual
practices of the older established
sciences such as physics and chemistry.
It will, I think, be more revealing to

�look at what an exponent of a relatively
young science has to say about what he
is up to. This will be revealing because
a person in this position is still, in
effect, trying to win acceptance of his
discipline as a genuine field of scientific inquiry.
The science of Theoretical Linguistics,
compared to say Physics, is still in its
infancy - if indeed it has passed the
fetal stage. One of its best known practitioners, Noam Chomsky, is most concerned that his linguistic theories be accepted as bona fide scientific theories. In
order to gain this acceptance, Chomsky
argues, rather convincingly, that his
principle of universal grammar, his
deep structure of all languages, is in
fact " ... an empirical hypothesis, falsifiable by factual evidence". 9
THE LIMITATIONS OF SCIENTIFIC EXPLANATION
I have presented a brief sketch of
what I think a scientific explanation is
and I have offered some support for this
position. I now wish to draw attention to
what I regard as two important shortcomings
of scientific explanation. The first is, in
fact, a problem with the nature of scientific observation. As I have noted, the scientist must be objective - his observations
must be limited to those which can be repeated by any trained observer. I suggest,
however, that when the scientist turns to
the study of himself, or of man per se, as
opposed to some aspect of man such as his
body, this demand for objectivity hinders
rather than aids the investigation. For
when the investigator or the observer becomes the investigated or the observed, he
tends to lose his essential characteristic
- his subjectivity, the fact that he is, or
can be, an observer. The result of this sort
of exercise is usually some kind of behaviouristic psychology where the subject becomes a
mere object. In fact what usually results is
the odd sort of schizophrenia illustrated by
the opening passages of this paper, in which
I did not go so far as to treat myself as an

8

object but merely as another subject. In consulting the author of
this paper I find that he agrees
with me, at least on this point.
Would it be logically possible for
him to disagree with me on any
point? 10
My second worry about scientific
explanation is a rather more genera
one. We normally think of explanation as the reduction of the unfamiliar to the familiar. That is, the
explanation offered has to be more
familiar than that which we set out
to explain. But scientific explanation seems to do the very opposite.
It takes some quite ordinary familiar event and 1 exp1ains 1 it in terms
of unobservable theoretical constructs. Perhaps what my worry comes
to is simply a request that the explanation offered, itself be ~xplained. However, I think that most practicing scientists would give a rather
pragmatic answer to this request
saying, in effect, that if we require
that everything be explained, we will,
in fact, explain nothing. Nevertheless,
I for one cannot seem to shake the
belief that no explanation can be
ultimately satisfactory if it leaves
something unexplained.
In conclusion, then, I am suggesting that scientific explanation does
not represent the condition of optimum development or final goal of our
understanding and knowledge of the
physical universe. However, let us
not forget, it does represent the
beginning.
FOOTNOTES
1I

will, however, also say something in passing, however misl
about the formal sciences, s
mathematics and logic.
2 As quoted in Max Black, Critical

�Thinking, (New York, 1955), p. 357.
3 Ibid., p. 360.
4 Ibid., p. 361.

FACT AND HYPOTHESIS
- Irving Marmer Copi

The job of science, we all know,
is to discover facts; but a haphazard collection of facts cannot
be said to constitute a science.
To be sure, some parts of science
may focus on this or that particular fact. A geographer, for
example, may be interested in
describing the exact confiruration of a particular coastline,
or a geologist in the precise
nature of rock strata in a particular locality. But in the more
advanced sciences, bare descriptive knowledge of this or that
particular fact is of little importance. The scientist is eager
to search out more general truths,
of which particular facts are instances and for which they constitute evidence. Isolated particular
facts may be known - in a sense by direct observation. That a
particular released object falls,
that this ball moves more slowly
down an inclined plane than it
did when dropped directly downwards, that the tides ebb and
flow, all these are matters of
fact open to direct inspection.
But the scientist seeks more than
a mere record of such phenomena;
he strives to understand them.
To this end he seeks to fonnulate
general laws which state the patterns of all such occurrences
and the systematic relationships
between them. The scientist is
engaged in a search for the
natural laws according to which
all particular events occur aoo
the fundamental principles which
underlie them.

Since the point of the argument is to
deny the truth of 1 p 1 it is called modus
tollens from the Latin 1 tollere 1 meaning
to deny. ~or a discussion, see I.M. Copi,
Introduct~on to Logic, (New York, 1972),
pp. 234 f.
6 Se~, for example, Karl R. Popper, The
Log~c of Scientific Discovery, (London,
1968); and Conjectures and Refutations;
5

The GrOlJth of Scientific KnOlJledge,

(London, 1963).
7 R. Harre, An Introduction to the Logic
of the Sciences, (London, 1965), p. 133.
8 Bertrand Russell, Mysticism and Logic
(London, 1963), p. 59.
'
9 Noam Chomsky, Problems of KnOlJledge and
Freedom, (New York, 1971), p. 23.
1 °For an account of some other paradoxes
that can result from applying scientific
explanation to human behaviour see: C.S.
Rip 1ey, "Why Determinism Cannot Be True
Dialogue, Vol. XI, March, 1972, pp. 59-68.
11

_Dr. Rabb is an assistant professor of
Ph~lo~ophy here at Lakehead University.
Born ~n Kenora, he studied philosophy at
Carleton University (Ottawa), Queen's
Unive~sity (Kingston) and.the University
of Ed~nburgh. He has publ~shed articles
and ~eviews on a wide variety of philo~oph~cal_concepts and topics including
~mag~nat~on, memory, belief, the self,
materialist theories of mind, our knowledge of material objects and nineteenth
century German Idealism. He is a member
of the Canadian Philosophical Association, the Mind Association and the
Aristotelian Society. He is admired and
liked by his colleagues in the University who appreciate his even-tempered
disposition. He has a profound knowledge
of philosophy and is always ready to
speak on the subject with great fluency.

Irving Mormer Copi

[ 1917

-

]

ij

~~

was educated at
University of Michigan where he too
is doctorole in 1948. • •
Taught for one year at Illinois· returned to
Michig.51n. Has written on logjc, scientific
methoa and the philosophy ot language.

9

�THE

PLACE OF SCIENCE IN EVERYDAY THOUG

By E. S . Bodz in
CURIOSITY AND CRITICISM
Despite the ever-widening gulf
between scientists and non-scientists,
it is sti11 true, as William James
once observed, that the only important
intellectual difference between the
habitual drunk and the compulsive
scholar is the point at which they
stop asking questions. The curiosity
of the child can become more intense
with time, or it can be channeled into
resignation and passive acceptance.
When the young child defiantly asks
why he should not climb onto the back
of a chair, he may painfully learn
something about centers of gravity or
he may meet with an equally painful
lesson about authority; and while
either of these lessons might discourage him or whet his curiosity all
the more, he has at least posed a
question that had to be asked.
As we grow, thousands of similar
questions beg for answers, even if we
do not devote much time to formal
study. Our reluctance to continue to
ask certain kinds of questions - the
kinds that specialists ·alone can cope
with - should surely not deter us from
asking questions altogether. And if we
cannot all be professiona1 scientists,
so long as we learn about life generally we can confront its lessons with the
same critical attitude that the scientist brings to bear upon his.
A number of striking parallels can
be drawn between the critical method of
the scholar and that of any thinking
person. For example, the child mentioned above, whose chair has tipped over,
will learn no more initially than to
avoid climbing on that chair in that
way. His experience at first wi11
tell him nothing about sofas or about
counterbalances. Since his knowledge
is of 1 i mi ted scope, it is of 1 i mi ted
usefulness as well. Eventually, he
will be able to do far more with the
knowledge that he can climb anywhere
on any chair if a heavy enough weight

holds the seat down. This information can be tested and confirmed
in a variety of situations.
GENERAL ASSUMPTIONS MAY ~E INVALID
If we each had to go through
this kind of process for all our
conclusions, we would know far less
than we do. Luckily, we come to depend on the experience of our predecessors and to accept their findings as our own. In other wo.rds, the
individual accommodates his own knowledge to a scientific tradition much
larger than himself. He realizes that
if humanity had never taken the liberty of assuming it was right until all
risk of error was past, mankind would
sti11 be back in the stone age. As a
group, men have always acted as if
certain bits of knowledge were true,
and some of them actually have been.
So the individual for his part assumes that the general assumptions
of the past are correct.
Of course, they are not. Much in
the same way as an individual might
reflect upon the lessons of his youth,
each age perceives the formulations
of the past to be at best a collection
of over-simp1ifications, partial
truths, and useful errors. Knowledge
is always being refined and made more
precise, even radica11y·a1tered on
occasion. Recently, for example, cu1tura1 historians have replaced the
vague traditional term 11 romanticism 11
with 11organ i ci sm 11 , which describes a
process and a method generally believed in and used during the ear y
years of the.nineteenth century. The
new concept provides a more precise,
orderly way of uniting such diverse
figures as Herder, Keats, Rousseau
and Emerson.
Understanding the implications of
this paradox - that we must accept
the past if we are to grow as indi10

�viduals, but that we must constantly
re-examine traditional conclusions or
stagnate as l!omo sapiens - is the underlying basis of a rational, critical
view of life. As thinkers we walk a
line; sometimes we fall over on the
side of certitude, and sometimes on
the side of skepticism. As we have
seen, accepting too much rif the past
is just as likely to draw us into
error as is rejecting too much. To
develop a critical perspective is to
realize this, and to avoid both errors.
CONSTANT RE-VERIFICATION

IS

irresponsible of us simply to admit
1ife 1 s complexity and to leave the
examination of 1ife to professional
thinkers.

Dr. Bodzin has never believed in
the traditional distinctions among
academic disciplines, nor in the
isolation of academic life from
life as a whole. His career has
seen him move from rabbinical
training to physical education to
philosophy~ the field in which he
ultimately received his undergraduate degree. As a graduate student
in English, he wrote a doctoral
dissertation treating an aspect of
American cultural history, in which
he came close to avoiding any mention of literature. Currently
Assistant Professor of English at
Lakehead University, he considers
improved judgment and the development of critical method to be more
worthwhile goals for his students
than the acquisition of any particular subject matter. Students hold
him in the highest esteem: he is
demanding and critical. Any~ne who
has taken one of his courses knows
that he gives superb academic value
for money.

NECESSARY

As the above example from cu1tura1
history suggests, the methods of social science can be as crucial to
everyday thought as those of the
exact sciences. We do well to learn
from exact science not to accept one
demonstration of a discovered hypothesis, but to constantly re-verify
it in the light of subsequent discovery; similarly, once we interpret
and evaluate our own experience, we
should be willing, like social science,
to modify that vision whenever necessary.
It is a truism of our time that this
is a relatively open-minded age - we
tolerate and do not dogmatize. But in
developing habits of thought, especially
in regard to interpretation and evaluation, most of us accept some unyielding
attitudes. We do not tolerate intolerance, for example. Thus, even openmindedness has its 1imits. Few of us
will wish to define those 1 imits because not everybody is James 1 s compulsive scholar. But whatever the scope
of our investigations, our questions
arise because understanding some of
our experience is important to us.
Science in its broadest sense that is, all knowledge - has become
a complex and highly demanding pursuit. Only a part of it is available
to the layman who has not given over
his life to study and discipline. We
all stop asking questions at some
point; but life is too important for
us to stop too soon. It would be

DEFINITION OF DEMONSTRATIVE EVIDENCE
- John Stu a rt Mi 11

It has . . . been held by some
writers that all ratiocination rests
in the last resort on a reductio ad
absurdum , since the way to enforce
.
assent to it, in case of obscurity,
would be to show that if the conclusion be denied we must deny some one
at least of the premises, which, as
they are all supposed true, would be
a contradiction. And, in accordance
with this, many have thought that the
peculiar nature of the e~idence_of
ratiocination consisted 1n the impossibility of admitting the premises and
rejecting the conclusion without a
contradiction in terms.
11

�SCIENCE and APPLE PIE
By Jim Wheeler
Of Science, Webster says:

"Science - a branch of knowledge
especially one concerned with
establishing and systematizing
facts, principles and methods ....

Let's look at the reactions of the one
person we all know -ME, for it's the
ME's who graduate from high school year
after year. It's the ME's who stand on
the threshold of decision. Well, it
sure smells good out there! There's the
smell of freedom, new cars, a full time
job, marriage, and maybe even University.
What to do? What to do?
My own exit from high school I must
admit came as a pleasant shock to me.
My physics marks prompted.the guidance
department to suggest I should pursue a
career in electronics, and so I did to
everyone's satisfaction, including my
own. I must say, however, I was guided
to a decision with blinkers on: as for
those who supplied the blinkers and did
the guiding, I thank God you were right
in my case, for there must be some who
still wonder: 11Why am I doing this?
How did I get hepe? 11 For the rest of
this article, I 1 m going to give you the
highlights of seventeen years as seen
from the inside looking out. My taste
of the pie.
My first job was with DeHavilland
aircraft in a division manufacturing
electrical power supplies. I counted
meters and other electrical equipment
and kept them ready for use (by someone
else!). 11 Everyone starts at the bottom 11
I'd been told so many times that it
came as no surprise, and I didn 1 t resent
any of my "bottom jobs 11 as I recall.
Four years later I was pretty well dry
behind the ears and had taken part in
the flight test of DeHavilland 1 s new
aircraft the Caribou. Its letters were
CF-KTK-x'- and I 1 11 tell you the first
day it flew I was the proudest emp oyee
they had. My contribution was only some
minor instrumentation, but you would
have thought I 1 d designed half the aircraft myself: I suppose every employee
watching that first flight must have
been just as proud. looking back over
those first few years, I must say I was
very happy with Science, because
had
been allowed to put the fundamentals I

11

Sounds like a filing clerk working
in the middle of the Sahara Desert
It's like describing an egg as
a spheroid - ridiculous - if you are
hungry!
The best way by far to describe
science, if you want any nourishment
out of it, is from the inside out
with words like delicious, aZZ-

consuming, unexpected, innovative.
What's delicious about science?
It's the apple pie fresh. out of the
oven. Just by looking a( it your
mouth begins to water ... "just a
small taste 11 , you say ... but there
is no such thing for us apple pie
1overs.
"What piece to cut?" - 11 What
shape?" - 11 What size?" These are
questions that only the eater can
answer. If you can 1 t ask: "How does
it taste?" and get a reasonable answer, then take a small slice to
sample yourself - certainly don't
leave it untouched, for you may find
it indescribably delicious.
How do you sample the apple pie
and give an honest opinion? Well,
let's list some of the do 1 s and
don't's. Perhaps the most important
one is: Do approach it with an open
mind and the honest desire to render
a just decision no matter what it is.
Do savour the flavour of each mouth·
ful accumulating your impressions
until the plate is clean, then render your decision. Don 1 t gulp it
down too quickly. You may end up
choking. Don't precede the taste by
eating a strong onion ... the true
flavour will never get through.
Don't take such a small piece that
the taste is too fleeting to decide.
12

�thing literally exploded (due to a
faulty component we eventually found
out), but for the next hour I' 11 bet
there were some misgivings about having
hired me. Every time something similar
to that incident happens and, believe
me, things do go wrong in laboratories
from time to time, I 1 d have sold my
slice of Science for a nickle and
given change to boot. These incidents
are, thank God, few and far between
but they nevertheless occur, so for
those people starting out thinking
that Science is a hard factual life
equipment is made and labs are staffed
by people like you and I and that's
what makes laboratory life sweet and
sour, exciting and depressing. My stay
at United was one of the most taxing
and yet pleasurable periods in my workcareer. Here I was, with not only my
education to draw on, but also several
years of related experience, and I was
being asked to use every bit of it. I
went from design job to design job
usually suggesting or developing instruments that made the test engineer 1 s
job easier. The test engineers ran the
jet engines in large test areas called
11
t es t ce 11 s 1 1 and i t was the i r job to
test a new seal, or a new fuel system
or a new propeller or thousands of
other things that go into a modern aircraft engine. It was my job to make
sure the answers they got were correct.
Exciting, you had better believe it!
Imagine yourself involved as I was with
up to ten such tests all going on at
the same time. By this stage we were
using two aircraft as test vehicles,
one a helicopter on 11 tie-down 11 tests
at the plant and the other a Beech 18
aircraft flying out of an airport over
35 miles away. There were about eighteen
of us by this time a11 doing the same
general job but each specializing in
one aspect or another. I must have made
a favourable impression as things progressed because I became the supervisor
of this group and asyou can again guess
even more involved in not only my own
work, but that of everyone else.

had learned in school into practice
to the profit of both my employer
and se 1f.
About this time you could say I 1 d
eaten my first slice of pie and had
savoured every mouthful.
There were outside influences by
this time that prompted me to apply
to United Aircraft in Montreal for
the position of Instrumentation Designer. United Aircraft were developing a new turbine engine and were
putting together an experimental
engineering department. I should
tell you how I almost missed this
one completely. I had written to
the company in Longueui 1, just outside of Montreal, and by return mail
was told an interviewer by the name
of Thompson would be at the Royal
York and would be expecting me at
2:00 p.m. Shining, clean and nervous,
I appeared .... no Thompson, they
never heard of him. Was I ever
disappointed! I returned home, down
in the dumps and finally decided to
phone the company direct, and ask
them why they were so insensitive
that they could change their mind
about the interview and not even
tell me. Well - it appeared they
sent a last minute replacement when
Thompson caught the flu and the new
interviewer couldn't get in touch
with me. As a result I rushed back
to the hotel and was interviewed as
he packed, paid his bill, and caught
a plane for Montreal .... I got the
job and within two weeks was working
near Montreal.
Every new employee likes to make
a good impression on his boss during
his first few weeks, and I was no
exception. One day during the first
week, a shiny new calibration furnace
and control system was delivered and
because I was experienced with this
type of equipment I was asked to put
it into operation and set up a series
of procedures for its use by less
technical personnel. All went well
the first day, but the second day the
13

�one of a group of three on developing
and f1 ight testing C.P. I. 1 s "Crash
Position lndicators 11 • My job was still
trying to measure things, and I spent
almost as much time flying as I did on
the ground. You think this sounds exciting, I'll bet -well, I get air sick
-not sick sick, just woozy which is almost worse, and the hardest thing to do
is finish the job when your stomach is
bent on taking over your mind. There
were exciting moments here and the team
atmosphere was perhaps the strongest I
had ever been in. I had by now eaten
enough of the pie to be a connoisseur
of sorts and while this pie was definitely right for me there were slices that
I have a preference for.
After I had been with the Council
only one and a half years, a friend with
whom I had gone through high school came
to Ottawa and offered me a job at Lakehead University and to add to the offer
I would also be allowed to continue my
education to any degree I wanted at no
expense to myself. Well, needless to say,
I came, perhaps more because it was 11 home 11
than anything else, but anyway I did
come. Since then I have obtained my degree, and still, I hope performed in a
worthwhile fashion for my employer.
Is this the end of my wandering?
Maybe - but it is only another slice of
my pie, and I 1 m still looking forward to
my next bite!

learned several very important
truths about life in this job - one
is make sure there is always a clear
I

line of communications be-tween people
because isolated people do not pull
their fair share of the load. The
other one is when handing out work
after you select the people you want
to do the job .... let them do it!
Hold regular meetings to discuss progress by all means but don 1 t stop
progress just because it doesn't
follow your exact line of thought.
This last one is the one most often
forgotten.
We l 1 , I co u 1d t e 11 a 11 sort s of
stories about building new test facilities, hiring new personnel, forming
the flight test group, and the two
days of pre-flight medical tests
everyone went through in Toronto not forgetting the time the test
engine exploded - this all served to
flavour the work and mold the people
into an exciting happy team and I was,
I can tel1 you, a very proud member.
I 1 d eaten another large slice of
the pie and was ready for more.
About this time I moved to Kingston,
Ontario to take up a similar position
with a small company developing a free
piston engine. It was while we were in
Kingston my family started school, we
built our first house, and I sold the
patent rights to an instrument I had
designed. My stay in Kingston was less
hectic than Montreal and while I stayed there almost five years my work
took on a routine colour that I rather
enjoyed. We spent weekends on picnics,
planting lawns and gardens, swimming,
fishing, tobogganing and skating. I
started to have a new approach to work
that allowed me more free time for
other things. I cou 1d st i 11 dive in
and get completely immersed but now
could also climb out and dry off pretty quickly.
In the late 1960 1 s I moved once
again, this time to the flight research
section of the National Research Council
in Ottawa, so I was once again back
with airplanes. This time I worked as

Jim Wheeler is a Master in the Retraining and Technology Divisions of
Confederation College. His career has
Zed him through Canada's Missile and
Aircraft Industries where his enthusiasm for Science has grown with each
new assignment. His educational experience includes a diploma from
Ryerson PolytechnicaZ Institute as
well as a BSc from Lakehead University.
His non-paying hobbies include amateur
radio (VE3EEG) and boating which he
enjoys with his three daughters and
three sons.

14

�BASIC AIR NAVIGATION

A LOS

?

By Air Vice Marshal Bradshaw
PEOPLE GET LOST BECAUSE THEY WILL
NOT NAVIGATE

NAVIGATIONAL AIDS
The basic equipment (which must be
kept in serviceable condition) is:
a) Up-to-date maps of the area of flight
b) Compass:
properly swung
a) Altimeter
d) Air Speed Indicator
e) Turn and Bank Indicator
f) Ruler, Protractor and Dividers
g) Several Pencils
h) Accurate Watch or Clock.

Before the days of Marco Polo,
caravans used to cross the deserts
of Afghanistan and Mongolia, arriving at their camping sites and destination with remarkable accuracy.
How? By using an amazing Chinese
magic needle which was on a leaf
floating in a bowl of water. It
always pointed in one direction if
the bowl was kept perfectly still.
It was the earliest magnetic compass.
The famous early navigators of Portugal who explored the African coast
could find their latitude using a
crude forerunner of a sextant called
an Astrolabe invented originally by
the Greeks.
The sense of the foregoing is
that men, for centuries, travelled
great distances over unexplored land
and seas using the crudest of simple
instruments and highly developed instincts for conditions of sea, wind
and weather. What is most important
is that they got to their destination and returned!!
Why then in this day of highly
refined electronic and other navigating devices, which are so numerous
that the buyer has to decide which
combination he needs, do modern
pilots get lost in rather large
numbers? Because they get lost, air
and ground searches for downed aircraft cost the taxpayer millions of
dollars annually.
The reasons are numerous, such
as flying in an area with few or no
electronic aids to navigation, onboard navigating equipment not working properly, flying in weather too
severe for the pilot's capability to list but a very few. Nevertheless
I contend that most pilots flying
over unpopulated areas, such as our
northern bush country, get lost because of failure to use good basic
air navigation methods.

Common additional 11 luxury 11 items:
a) Calculator
b) Directional Gyro
a) Artificial Horizon
d) Sextant and Appropriate Star Tables
e) Two-Way Radio.
With the above, many of the early
pilots have circumnavigated the earth
blazing trails which are now established
airline routes.
HOW DISASTERS OCCUR
Not too long ago I was in a small
plane taking off from one northern point
for another several hundred miles away.
After a while, the pilot turned to me
and said, "What time did we Zeave?" This
startled me and I asked him for the map.
There was some scrambling around and after several minutes he handed me a map
of the area -which was blank - that is,
there was no flight 1 ine or other information pertaining to our flight on it!
We didn't get lost, but that is precisely how these disasters commence. Lack
of knowledge of the art of basic air
navigation, lack of proper pre-flight
preparation, lack of proper in-flight
navigation, poor airmanship and laziness
are the root causes of lost aircraft.
Familiarity breeds contempt and pilots
who fly to and fro, back and
over
the same route tend to relax their vigilance until one day they get t
weather - out of sight of the ground;
unknown winds push them off course.
Eventually, they may see the ground
again, it is unfamiliar to them,
15

�are lost, fuel runs out
HOW

!!QI

...........
I

each leg of your flight, flying time
for each leg in hours and minutes, fuel
consumption for each leg of flight, including leg to alternate destination,
and record this data on a suitable card
for in-flight reference. If winds are
not available, then the procedure to be
used will be referred to later; see InF1i g ht , i t em {8) .
(9) Calculate fuel required for flight
to destination, plus fuel to alternate,
plus fuel for holding pattern at destination as laid down in Air Regulations.
(It is different for piston and jet aircraft.)
(10) File flight information as soon as
possible with nearest aviation authority, plus time of departure.
(11) Ensure compass is serviceable and
properly swung.
(12) Set clock or watch accurately.
(13) Check availability of maps (in
proper sequence), calculator, ruler,
protractor and pencils.
(14) Check functioning of radio and
note frequencies to be used enroute.

TO GET LOST

What should a pilot, particularly one flying small aircraft over
11
bush 11 type country or over new
routes, do to minimize his chances
of getting lost and maximize his
chances of arriving safely and on
time at his destination after an
enjoyable flight? The following is
an effective pattern of procedure
which may be considered basic. It
will take longer to write it out
than to do it.

Pre-Flight:
(1) Using up-to-date aeronautical
maps, draw a line (called the track)
from the point of departure to destination or first stopping point or
to each turning point.
(2) From departure point, draw
straight lines at 5° and 10° angles
each side of your track. Extend these
lines for at least 50 miles. Draw
them on the destination side of your
departure point.
(3) At destination, repeat procedure
with 5° and 10° lines drawn on the
departure side of destination point.
(4) Using dividers, mark track in 10
or 20 nautical mile intervals.
(5) Measure distance to be flown in
nautical miles.
(6) Study route and 20 miles either
side of track for prominent features,
such as lakes, high hills, prominent
river courses, etc., etc., and circle
or indicate on map those features you
plan to look for or will recognize at
a glance.
(7) If available, obtain latest
weather forecast for your route area,
destination and alternate. If avai 1able, obtain forecast winds for route
at the altitudes you plan to fly plus
winds from surface to at least 5000
feet above your planned flight altitude.
(8) Using above data, carefully
calculate your compass headings for

In-Flight:
(1) After take-off, circle and set
course over airport or from predetermined start point.
(2) Set clock or note time over airport
or start point.
(3) Hold predetermined compass headings
and read map carefully. After 5 or 10
minutes, mark exact position on map.
This will indicate drift off course.
Take clock reading.
(4) Refer to your 5° and 10° lines and
you can estimate quite accurately the
number of degrees you are off course.
(5) Alter heading towards your track
the same number of degrees and you will
make good a line parallel to your track.
(6) If you alter course towards your
track, double the number of degrees and
for the same amount of time taken to
your first map check you will arrive
back on your track.
(7) Now alter course back towards your
original heading by the same number of
degrees you were off course at first map

16

�check point. You will now hold very
close to your track.
(8) After regaining your track, take
ti me between marked i nte rva 1s. (Read
the map continuously.) Using your
ca1cu1ator, find the ground speed of
aircraft. Continuing to use calculator
or.just ~lain pencil, paper and simple
ar1thmet1c, recalculate estimated time
of arrival at destination or turning
points.
[With practice, this can all be
done in your head.and very quickly,
too. Using calculator and this data
'
new wind direction and wind speed can
be determined to recalculate new headings, if you wish to be more professional.]
(9) Continue to repeat sequences (4)
to (8), inclusive, for the rest of the
flight as flight situation warrants.
(10) If weather drops toward the minimum for your licensed capability or
type of aircraft, either return to
departure point or look for nearest
suitable landing area.

By the way, if you follow my advice and

still get lost, remember - NEVER LEAVE
YOUR AIRCRAFT. If you do, you will
greatly increase the chance of losing
your life.

Air Vice Marshal Bradshaw graduated
from The Royal Military College of
Canada, Kingston, in 1934 and joined
the Royal Canadian Air Force in 1935.
J?U,ring his career, he spent 19 years
~n flying and navigation instruction
rea~h~ng the position of Chief of '
Tra~n~ng for the R.C.A.F. He ended
his career as Commander of the
R.C.A.F. Air Division in Europe
which was equipped with supersonic
104 aircraft in the nuclear role.
Air Vice Marshal Bradshaw has been
President of The Confederation Coll~ge of Applied Arts and Technology
s~nce 1967.

REMEMBER. "There are old pi lots and
there are bold pilots, but there are
no old bold pi lots." Just sit and

TRANSPORT MINISTER MARCHAND RELEASES
REPORT ON FATAL ST. JAMES AIR CRASH:
OTTAWA - The crash of a Beechcraft 18
aircraft at St. James, Manitoba, with
the death of the pilot and his passengers, eight school children, last June
24, was caused by loss of engine power
and the pilot's failure to respond effectively to the situation. The report
of the Transport Ministry listed the
following conclusions:

have a cup of coffee until conditions
improve.
Many experienced pilots and
navigators will spot deficiencies in
the above. Many will have all kinds
of additional 11 tricks of the trade".
Agreed - but the basis of this dissertation is to demonstrate that with
m~ni~al _equipment, common sense, selfd~sc~pl~ne and reasonable application
of basic air navigation, the chances
of getting lost can be made negligibly
sma 11.
If I were asked in what area an
amateur pilot or bush pilot (or any
other kind of pilot) should become as
proficient as possible, I would have
to say meteorology, with particular
emphasis on weather phenomena during
all seasons pertaining to his part of
the country. After that, if he uses
his head he will enjoy more

- The aircraft's left engine lost power
after take-off from Winnipeg International
Airport.
- The pilot did not follow prescribed
emergency procedures after the initial
power loss.
- The right engine lost power because
the pilot turned the right fuel selector valve to the 11 off 11 position.
- The pilot had not been adequately
trained in emergency procedures.

"Following Winds and Happy Landings".
17

�"Wolf" Ozburn (see Caret I) and John Butler (right)
... assemble ... The Tower.

"Some difficulty was experienced . . .

The completed tower looks most impressive"

Air Vice Marshal Bradshaw

CF - KTK - X was one of Jim Wheeler's assignments.

"There are old pilots
and bold pilots but . ... "

" ... I was the proudest employee they had"

�THE

CONSTRUCTION

OF AN

OBSERVAT!ON TOWER

By John R. Butler
"lit 0010 hrD., the party headed
out into the teeth of a 30 m.p.h.
wind. 'The temperature was 5°F.,
and this coupled with the wind.,
produced a chill factor of -55°F
- the snow felt Zike hot needles
on the face. "

we get cracking.
A JS tracked-vehicle was rented
with a truck large enough to carry
the structure along with ropes,
ladders and a rock drill.
We managed to squeeze the tower
into the truck (disassembled, of
course) and the party then proceeded to Ray Trowbridge 1 s cabin which
lies at the foot of Black Bay. This
was to be our headquarters. The
assembly party varied in number
from time to time, but fortunately,
there were never less than eight
members comprised of faculty,
students and staff.
On the morning of the great day,
a party of five (three on snow
machines, two on the J5) started
on an exploratory trip to the island to check the snow and ice
conditions. Visibility was down to
about a hundred yards, and the
crews on the small machines were to
run ahead of the JS to check ice
thickness and the depth of slush
under the snow.
Unfortunately, we had no prior
knowledge of the performance of the
JS and we rapidly discovered two
problems. The top speed was 2 m.p.h.
and it was difficult to steer in a
straight line. As a result, our
course was like the trajectory of
a curve ba l 1 !
The island loomed out of the
driving snow to an impressive height
as we finally approached it. We
found it impossible to climb to
the top with the machines, as the
lower rocks were glazed with ice
from the early winter storms, and
so we inspected the tower site on
snowshoes. As everything seemed to
be in order, we returned to base
to prepare for the big haul the
next day. The round trip time for
this journey was seven hours in
the most miserable of conditions.
Next morning, the party assembled
,early in clear and sunny weather.

The above sounds more 1 ike an
excerpt from Scott 1 s diary than a
description of the conditions encountered by a work party from the
Science Faculty adventuring out to
erect a bird observation tower on
a remote island in Black Bay.
The project started when Dr. J.
P. Ryder of the Biology Department
asked if my department could construct an observation tower in
connection with his study of gulls
on Granite Island, six miles offshore in Black Bay, on Lake Superior. Apparently, the gulls are very
nervous and conventional blinds are
ineffective - the slightest noise
will disturb the birds during the
nesting period. It was hoped that
a sol id, insulated cabin on top of
a tower would enable the colony to
carry on with the minimum of upset
(and give a modicum of comfort to
the observers!).
The tower was completed about
the middle of February, 1972. Its
completion finally brought to a
head the nagging problem - how to
get it to Granite Island? Several
ideas were proposed, most of them
impractical. The Canadian Armed
Forces, when asked for help, did
not flatly reject the request, but
the tower had to be assembled before the birds returned to the
island to nest and the Services
were not prepared to indicate
when they could help.
The fact that we had a 3,000
pound load to move and the knowledge that the snow conditions
generally start to deteriorate
rapidly in March suggested that
19

�Deloney
I.

D

8 I o c k

IJ Scimming

Vt.
8

,

t"\..

'-'-

0

0

y

• Foxhound

Granite
I.

Rk.

Green
/.

5 MILES

20

�(This often occurs in Northwestern
Ontario the day following a storm.)
We quickly loaded the tower and
cabin components on a massive sleigh
which was borrowed for the occasion
from a local farmer. Almost before
sunup, the party now numbering ten
distributed on four snow machines
and the JS with sleigh behind ran
down the bank onto the lake.
The lake surface was very irregular as the wind tends to form the
snow into a series of waves - very
much like sand in the desert. The
trip out to the island was fairly
uneventful. The major problem was
the lack of steering response from
the JS. When a course correction
was needed, the sleigh had to be
disconnected, while the machine
was maneuvered into position! Also
there was some concern that the
old sleigh would collapse, as it
was sinking very deeply into the
snow and the towing machine had
difficulty at times to keep moving.
The party arrived at the island
about noon, and after a snack,
started unloading and transporting
the materials up the side of the
island where a cache was made just
below the summit. Not enough time
was left that day to start erecting the tower, and so the party
returned to camp and set about
reloading the truck with the
equipment that would not be required for assembly. Some difficulty was experienced in coaxing
the J5 back onto the truck, since
the snowbanks were either not high
enough or too soft to maneuver the
machine over the tailgate. A number of the party finally drove the
truck and the JS to the Dorion
Hotel where a loading ramp was
available. The JS had no lights,
and so it was fortunate that the
O.P.P. were not encountered on
this occasion!
The next two trips to the island
were conducted in fine, almost warm
weather. On the following weekend,

the party successfully erected the
tower components, after the site
was cleared of snow and all parts
had been carried to the top of the
hill. We had taken the precaution
of including a gasoline-powered
rock drill in our equipment, and
our intrepid JS driver, Bud Russell,
turned out to be an efficient hole
puncher.

On the final trip, a week later,
a little more energy had to be expended as some of the cabin components were quite heavy and these
had to be manually lifted twenty
feet up the tower for assembly on
the cabin floor. Luckily there was
no wind blowing that day.
The completed tower looks most
impressive. It is very sound and is
now weathering its second winter.
Dr. Ryder is so.pleased with it
that we have been commissioned to
make another smaller installation
for the McKenzie Delta.
The whole operation was really
quite enjoyable and illustrates the
wide scope of the work undertaken
by the University's technical staff.

Mr. Butler is in charge of the
Science Workshop of Lakehead University. He is responsible for the
manufactui e of a 1JJide range of
equipment 1JJhich is used by undergraduates and research 1JJorkers.
One day, he is to be seen making
a tiny, tiny instrument no larger
than a lady's 1JJrist 1JJatch and the
next day, he is 1JJorking on a major
building project Zike the one described in his article. People like
Mr. Butler are vital to the functioning of a good Faculty of Science
and it is rare that they are able
to describe their 1JJork to the
public, not because they are ina~ticulate - it's just that nobody g~ves
them the chance!
1

21

�THE USE OF AN

OBSERVATION

TOWER

By John Ryder
THE TOWER IS ESSENTIAL TO RESEARCH

nize individuals. It is important
for us to know where individuals
are nesting, how many eggs are in
the nest, how many fights an individual has and with whom, how
many fights each individual wins
and loses and most importantly,
what part does fighting play in
the success of a pair in hatching
their eggs. You would be surprised
that fighting and aggressive displays are very important attributes
which can determine the success of
a nest. In addition, we want to
find out if the same birds come
back to the same nest site each
year and if they nest near to the
same birds year after year. We can
only answer these and other questions by watching marked undisturbed birds in their natural environment.
The gulls get used to the tower.
They actually sit on the roof during
observation so that's pretty good
proof that it works!
After two or three hours in the
tower using a scope to check tag
numbers, the observer leaves because his observation efficiency
rapidly declines after that amount
of time. Observations are continued,
genera 11 y on a da i 1y basis, in an
effort, which may take years, to
understand the workings of a complex
animal society.

The observation tower that Mr. Butler built is used in a project dealing
with the 11 sociobiology 11 of Ring-billed
Gulls. These birds are colonial nesting in large numbers close toge~her on
a smal 1 island near Thunder Bay. There
are about 1200 gull nests on the island
so it is easy to rapidly obtain information we are looking for.
Ring-billed Gulls are timid birds.
If a person walks on the nesting area
the birds take to the air and chaos
prevails until the person leaves. Under these conditions, collecting biological data, especially about their
behaviour, is impossible. This is
where the overwhelming importance of
the observation tower is realized.
The observation tower is an extremely important tool of behavioural
research conducted under natural, uncontrolled field conditions. It allows
the investigator to observe animals behave normally and respond to the many
environmental stimuli the same as they
would with no person present. Individual items of information collected from
watching undisturbed animals are valuable to the scientist when he pieces
them together to determine how the
organism he is studying has adapted
to the environment in which it lives.
Tower operation is fairly precise.
~he investigator enters the tower early
1n the morning. This initially disturbs
the gulls so information cannot be collected for at least thirty minutes.
During this time, the observer sits
quietly in the tower so as not to redisturb the birds as they settle down
on their nests. When the birds have
settled down, the observer can then
start collecting data.

D~. Ryder is Assistant Professor
of B~ology at Lakehead University
where he teaches ornithology, boreal
ecology and next year comparative
vertebrate anatomy. His research
inte~ests _involve the sociobiology
of R~ng-b~lled Gulls and parasites
of gull nests. The results of Dr.
Ryd~r's research have been published ~n a number of scholarly journals
and natural history magazines.

DATA ARE COLLECTED ON MANY CHARACTERISTICS
In our project we are marking birds
with special tags so that we can recog22

�BIOLOGY FROM THE STUDENTS' EYE VIEW
By Jean Pekkala and Frank Cartwright

second, third and fourth year students
for summer empl0yment in the field of
one's choice, working on research projects being carried out by the professors.
Besides the regular hours of class
and studying, there are a great many
activities one can participate in school-related or otherwise. Students
are given almost a free hand as to what
they would like to do for themselves
or for the benefit of their Department
or both. They can carry out a great
number of projects under departmental
supervision and it is up to the students
involved to see to it that these extracurricular projects are consummated.
After classes, we now have the newly
formed Biology Club, which is looking
for help, suggestions and most of all
support from the student body, which
is the essential stuff of which clubsare formed. The Club is planning various
activities such as guest speakers, field
trips, movies and socials whereby the
students can meet the faculty and actually participate in the activities be
they academically centered or otherwise.
The total approach is not of overburdenment, for once interest has been

PRO AND CON
As science students in the Biology
Department we find the program open in
that it allows the choice of a wide
scope of topics, be they plant or
animal in nature.
Once we had the essential introductory courses in first and second year
Biology, we were then free in third
and fourth year to choose our own
courses in relation to our proposed
post-graduate work.
Most third and fourth year courses
are half-term in duration. They have
their pro and con as viewed by the
students. The pro is that you can get
a wide survey of selected topics in
your chosen field, and by Christmas
your first term subjects are all over
and done with; then with the start of
the new year one embarks on a study of
completely new topics. The con is that
an excess of knowledge is crammed into
a limited amount of time. If a student
has problems ~nd does not seek assistance, by the time he solves his problems, it may be too late to do well on
his exams - which are finals! Some new
core courses which run for the full
year combat this problem.
Lakehead University is not a big
university and the classes are relatively small. Thus biology students
have a more intimate contact with the
professors, who are easily available
to the students during the day. The
labs are not only open in the daytime,
but in the evenings and weekends, as
we 11.

shown on the student's side, faculty
will do everything possible to aid the
student to achieve a chosen goal. m
THE STRESS WHEEL: The stress wheel is a
planting design for test crops. It
resembles the spokes of a huge wheel
with the rim removed. Single rows,
about thirty-five feet long, stretch
out like the radii of a circle from a
central point. The planted rows vary
in width from narrow at the center to
wider at the outside rim. Spacings are
., three feet at the end and narrow down
to zero at the center of the wheel.
During 1972 at Brandon, one wheel contained ninety-two rows or spokes. As
you stand at the center, you can see
at a glance how each variety in the
test performs.

EXTRA-CURRICULAR ACTIVITIES
For third and fourth year students,
there is a wide range of opportunities
made available for 11 demonstrating 11 the
laboratory portion of most of the
courses offered: this enables one to
put his knowledge combined with his
own personal skills into use and use
his acquired knowledge to teach others.
There are also opportunities open to

23

�THE

RESPONSIBILITIES

OF BIOLOG STS

By C. A. E1sey
THE IMPORTANCE OF OPTIMIZATION

out adversely affecting the complex and frequently sensitive ecosystems. It is therefore the responsibility of biologists to determine optimum utilization or
harvest limitations and thus manage the resources on a sustained
yie1d basis to provide opportunities for continuing outdoor recreation and resource development.

The goal of the Ministry of
Natural Resources is 11 to provide
opportunities for outdoor recrea.tion and resource deve1opment for
the continuous social and economic
benefit of the people of Ontario
and to administer, protect and conserve public lands and waters".
Within the bounds of this statement lies the objective of the
Outdoor Recreation Program 11 to provi de from public lands and waters
and to encourage on other lands and
waters: a wide variety of outdoor
recreational opportunities accessible to and for the continuous
benefit of the people of Ontario;
the identification and conservation
of unique or representative physical, biological, cultural and historica~ features of the province;
a continuous contribution to the
economy of Ontario from tourism
and its related industries 11 • The
objective of the Resource Products
Program is "to provide an optimum
continuous contribution to the
economy of Ontario by stimulating
and regulating the utilization of
available supplies of fish, furbearers, minerals and trees by
resource products industries".
To attain these objectives, the
program of the biologist is correlated with the program of the
foresters, land managers, geologists and other ministries of
government.

ONE MOOSE PER SQUARE MILE
In this part of Ontario we can
consider that we are deali~g with
a sensitive environment. In most
places, soils are very thin with
bedrock not far below. The fertility of what soils we have is low.
We live in an adverse climate one that does not provide for
optimum or maximum use of available fertility.
Moose populations can be expected in our area to have an
average density of 0.8 to 1.0
moose per square mile. This means
that we can expect to have something a little less than 20,000
moose in Thunder Bay district.
Good management suggests that we
can harvest about 25% or between
four and five thousand per year.
We are now harvesting slightly
less than 2,000 per year. However,
because of access problems, some
areas are being lightly harvested
and other areas heavily harvested.
In the interests of good management, it would be desirable to
redistribute the harvest. How is
this done? Management is trying
to find an answer and that answer
must, by objective, consider the
needs (tourist industry,
7conomic
Jobs,
etc.) 1 as well as the recreational needs of the people of
Ontario.
The fur business is an economic

The direat responsibility of
biologists to the people of Ontario
is to provide an optimum opportunity for reareation through fishing,
hunting and viewing, and to aontribute to the eaonorrry of Ontario
through tourism, aommeraial fishing
and trapping. It is important that
full utilization be achieved with24

�need for many people. To some it is a
hobby as well. The trap-line manager
is faced with the responsibility of
designing a management program that
will meet the economic needs, as well
as biological requirements. Recreation is not a primary consideration
in this program.

FUR-PRICES
- - -INCREASE
---

Fur farmers are smiling on
their way to the bank this year.
Pr~ces have increased sharply
and mink producers are optimistic
that the market will remain firm.
The return of strong prices
will enable mink ranchers to pay
off debts which accumulated during
recent years, when prices sometimes
sank below the cost of production.
. A clearer assessment of production, demand and longer-term price
trends will be available early in
the year, particularly for wild
furs.
Fur prices normally fluctuate
and, in the past, strong prices
have often been followed by a sag
as buyers fill their needs.
This year, however, overall demand is strong and there are indications that the fur industry may
be on a general upswing which will
shore up prices.
The reason for the increased
demand is hard to pin-point, but
there is speculation that incomes
around the world are rising to the
point where more consumers can afford the luxury of fur.
Prices for ranched mink in
December were about twenty-five
per cent higher than a year earlier.
The quantities of wild furs available are limited. All colors are in
demand, but price increases are
strongest for female pelts. These
are smaller and lighter than the
males, and thus are well suited for
capes and jackets, currently popular
retail items.
The demand is very strong for furs
from Canada's north, and competition
by buyers from many countries has
~ushed prices to the highest levels
in many years.
Beaver pelts brought about thirtyfive per cent more this year, red fox
almost one-hundred per cent more;
lynx pelts set record prices; and
coyote and racoon prices advanced
nearly one-hundred per cent.

FISHING IS IMPORTANT, TOO
Our lakes in this area suffer from
low fertility levels and a very short
growing season. Because the chemical
and physical characteristics of lakes
vary from lake to lake, the productivity of lakes will vary. On the average, we can expect lake trout lakes
to yield about one-quarter of a pound
to one-ha1f pound per surface acre
per year. Pickerel-pike lakes may
yield about two to three pounds per
acre per year. A sport fishery will
contribute to both recreational and
economic needs. A commercial fishery
will contribute to the economic needs
of a different group of people. If a
fishery can withstand both angling
and commercial fishing on a sustained
yield basis, then it is obvious that
both types of fishing shou1d co-exist.
Here again the biologist is looking
for that thin-line position where he
is working within bio1ogica1 limitations to meet both the economic and
recreational needs of the people of
Ontario. In the nature of resource
management, it is inevitable that
there should sometimes be conflict
of interest between branches of the
same ministry and between minlstries.
Such conflicts are ironed out by
consultation.

Mr. Elsey graduated from the
University of Saskatchewan.in 1946
with an MSc degree in limnology.
After graduating, he stayed on at
the University of Saskatchewan for
a year as an instructor. Since that
time he has worked in Ontario (mainly in the north) as a biologist and
fish and wildlife supervisor.
25

�Robert A. Ross

Leslie Woodrow

"Man's ingenuity knows no real bounds"

"Every housewife washing clothes . ..
is hindering the survival of man himself!"

"0.8 to 7.0 moose per square mile!"

�Jean Pekkala and biologists

"There is a wide range of opportunities"
Ran Ide

''The opening of culture can be achieved
in education programs"

Mr. Elsey (right) and friends

"The fur business is an economic need for many people"

(Courtesy, Chronicle Journal)

�THE CATALYTIC REMOVAL OF AIR POLLUTANTS -

QUO VADIS ?

By Robert A. Ross
conditions, the properties of the contaminant, the topography of the area,
and the design and height of the stack
or chimney through which the exhaust
is discharged.
Many of the exhaust components
undergo reactions in the atmosphere
and fall back to the earth as secondary products. A significant example
of this phenomenon occurs in London,
England in the absence of appreciable
sunshine during winter when smoke and
sulphur dioxide accumulate in damp,
static air masses with the consequent
conversion of sulfur dioxide to sulfuric acid or sulfate compounds
attached to smoke particles. Ultimately, with slow precipitation
thousands of tons of sulfuric acid
and filthy soot seep into the city
with disturbing consequences on
mortality rate, corrosion and erosion.
of buildings and botanical plant 1 ifecycles. In the great London smog of
1952, four thousand deaths of people
with respiratory diseases were attributed to this cause. Subsequent
legislation compelling both the
industrial and domestic use of smokeless sol id fuels has eased, but not
entirely eradicated the problem.
Since the concentrations of gaseous pollutants in air are considerably
greater than those of particulate
matter, most current research is
devoted to the discovery and appl ication of methods designed to minimize
and possibly e1 iminate deleterious
gases from industrial effluents.
Disregarding carbon dioxide, the most
abundant air pollutants are carbon
monoxide, sulfur dioxide and oxides
of nitrogen. The tolerance level for
carbon monoxide is considered to be
exceeded on exposure to 30 parts per
hundred million, pphm, of the gas for
more than eight hours. This level of
exposure is not likely to occur in
normal circumstances. Furthermore,
carbon monoxide does not partake in

HYGIENE: CAVEMAN TO ASTRONAUT
Contrary to popular belief, problems associated with the disposal of
sol id, liquid and gaseous waste products are not new but must have exercised the mind of Neanderthal man.
The rudiments of elementary hygiene
were not unknown, even then! The
rapid growth of the materialistic
needs and desires of our astronaut
society in the past two decades has
created waste and more waste and engendered an awareness of wastedisposal problems in the minds of
both professional and amateur environmentalists. To most politicians,
the pollution of the environment is
almost a cause celebre! On the other
hand, many industries find the costs
of installing existing remedial processes so prohibitively expensive that
plant closures are often considered,
and thus employment is jeopardized.
Such is the dilemma and challenge
posed to our society by this huge
issue.
THE GUILTY SOURCES
The particular problem of the
contamination of the atmosphere is
created mainly by the exhaust gases
from chemical and metallurgical process plants, oil refineries, power
plants, domestic and industrial heating processes and internal combustion
engines. These contaminants may be
emitted as particulate matter -- dust,
smoke, and smog -- or as 1 trace 1
amounts of deleterious gases, often
both types occur together. The gases
may be poisonous, malodorous or even
apparently innocuous. After exhaustion to the air, the contaminants
usually do not fall within the
immediate vicinity of the emitting
source but are dispersed by the wind
and are spread over an extensive fallout area. The nature of the dispersion process depends on several
factors including meteorological

78

�any significant reactions after its
emission and hence its removal from
exhaust gases has received much less
attention than that accorded to sulfur
and nitrogen dioxides.
magnitude
of these removal tasks can be appreciated by noting that in the United
States alone, near1y 29,000,000 tons
of sulfur dioxide were emitted to the
atmosphere in 1966 and for 1980, a
potential figure of more than twice
that amount can be estimated.

costly platinum group catalysts which
were firsts
ied in the decomposition
nitric oxide nearly fifty
years ago! Of course, giant corporatio~s and interests are involved in
activities and the various
implications are truly extensive.
THE NORTHWESTERN ONTARIO PROBLEM
In Northwestern Ontario, the
significant sources of air contamination are the pulp and paper mills.
The malodorous components of the
effluent gases are mainly hydrogen
sulfide, mercaptans and organic
disulfides. Hydrogen sulfide is
possibly the most common offender of
such gases with an odour threshold
reported to be as low as 0.7 pphm.
The gas is also extremely toxic since
a level of 400 to 700 ppm may be
dangerous to life after an exposure
time of 30 to 60 minutes. In spite
of recent efforts to eliminate the
hazard, the gas can still be detected
in the effluent from some chemical
recovery plant emission stacks.
A possible method for the removal
of these sulfur gases is by catalytic
oxidation, which can be followed by
recovery of the sulfur dioxide formed.
At Lakehead University an active
research program, led by Dr. Walter
Cook, has been initiated on this
theme. A key feature of the study is
the emphasis placed on the catalytic
removal of the compounds to an effluent level below that of the odour
threshold. The method would not be
considered to be a success by the
local population, at any rate, unless
this were achieved!
Using a series of mixed oxide
cata1ysts supported on alpha-alumina,
Dr. Cook has shown that hydrogen sulfide at 600 ppm in nitrogen/air
mixtures can be almost completely
oxidized to sulfur dioxide when
passed once in a flowing stream over
these materials at 200 to 320°C. The
most
ive catalyst that he has
discovered so far, contains mo]

A POSSIBLE REMEDY
The choice of a method for partial
or total removal of air contaminants
depends on many factors including
operation efficiency, feasibility and
cost. Of the many techniques available for the reduction of pollution
due to sulfur and nitrogen dioxides,
the heterogeneous catalytic method
presents a viable possibility. For
example, sulfur dioxide may be converted to the trioxide in an oxidizing flue gas at high efficiencies
when it is passed over a composite
sol id catalyst containing transition
metal oxides supported on alkalized
silica gel. Subsequent operations
may be introduced to produce sulfuric
acid from the trioxide in a controlled
way. An alternative catalytic oxidation process which originated in Japan
involves mixing ammonia with oxidized
sulphur dioxide in the flue gas to
form ammonium sulfate over a vanadium
pentoxide catalyst.
Although the catalytic treatment
of nitrogen oxides in the exhaust
gases from internal combustion engines is complicated by the presence
of hydrocarbons and lead compounds,
the method is still attractive since
the principal products of the decomposition of the oxides are nitrogen
and oxygen which can be vented safely
to the atmosphere. Substantial
current research activities by automobile manufacturers on catalytic
methods of exhaust emission control
seem to be emphasizing the use of
29

�lates, carbon monoxide, nitrogen
oxides and_ hydrocarbons. The information has been classi ed into
five major categories of sources:
industrial processes, fuel combustion in stationary sources, transportation sources, solid waste
disposal and miscellaneous sources.
The study is based on 1970 data and
will be updated at regular intervals.
This updating, combined with ongoi
measurements of air pollution levels
by surveillance networks throughout
Canada, will give a clear indication
of progress in the control of air
pollution.
Commenting on significant findings, Mr. Davis noted that transportation accounted for 57% of total
air pollution emissions of 31.2
million tons. The Federal Government
is actively engaged in the control
of motor vehicle emissions.
The
inventory further confirms our
concerns about air pollution from
this source", Mr. Davis said.
The inventory also shows that
one industrial sector - primary
copper and nickel - accounted for4.5 million tons, or 14% of total
emissions in Canada. He noted that
Environment Canada has been working
closely with the Provinces in tackling this problem.
Copies of this inventory, in
summary form, are available to
public on request. Write: The

denum and cobalt oxides. One substantial bonus from this work has
been the development of instrumental
analytical methods for the deteciion
of hydrogen sulfide in these low
concentrations.
Further studies in cooperation
with Dr. Michael Jeanes are presently
concerned with an examination of the
reactivity and ~fficiency of the
catalysts in the oxidation of organic
sulfides and thiols using more com:
plex carrier gas mixtures which
reflect more closely on the actual
composition of Kraft mill stack gases.
This local example illustrates
that environmental problems created
by advanced technology can be solved
by technology. Man's ingenuity knows
no real bounds and undoubtedly there
are better ways than that chosen.
However, the question still remains-HOW MUCH ARE WE PREPARED TO PAY?

11

Formerly an industrial researcher
for Unilever Limited and Marconi's
Wireless Telegraph Company, Dr. Ross
came to Lakehead University from an
academic post in Belfast, Northern
Ireland in 1969, just when the current "troubles" in that province
were starting. Now the Dean of
Science at Lakehead University, he
is the author of several papers on
heterogeneous catalysis, technological and surface chemistry. He
maintains that he is a hopeless
golfer and a lazy gardener.

Information Branch, Department of
the Environment, Ottawa, K1A OH3
or telephone (819) 997-2944.
Mlidii

■

@N

d

EF-

A Canada-wide inventory of five
major air pollutant emissions has
been completed by Environment Canada.
Announcing the findings of the
study, Environment Minister Jack
Davis noted that it was the first
comprehensive nationwide inventory
of its kind in Canada.
Pollutants covered in the inventory are: sulphur oxides, particu-

FLUENT: Pickle liquor or spent
plating bath solutions can be
treated to recover valuable metals
(nickel, copper, zinc, silver, etc.)
and to remove toxic compounds such
as cyanides, chromates and phenols.
Reverse osmosis, chemical precipitation and ion flotation techniques
can be used to treat the effluent
streams.
30

�DETERGENTS

AND

OUR

WATER

By Gordon Francis
Most people feel that large industries are the main polluters of
the environment. This may be true,
but many housewives do not realize
that they are also contributing to
the deterioration of our waters.
Every housewife washing clothes with
a detergent is hindering the survival
of aquatic 1 ife and in the end, man
hi mse 1f !
When detergen~s are dumped into
waterways, whether they are soft
detergents (ones that break down •
into their elements easily) or hard
detergents (ones that take a long
time to break down), they lower the
oxygen content and may kill aquatic
life, such as fairy shrimp, mayfly
larva and other minute organisms.
This life near the bottom of the
food chain causes predators that

feed on these organisms to die
from starvation if they have not
already died by suffocation.
The Chemistry 40 class did a
series of phosphate and phosphorous tests to determine the levels
in some of the leading brands of
oetergents. The results are shown
below.
From our experiments we found
that Sunlight contains the smallest
amount of phosphorus and / or phosphate of all the detergents tested.
We conclude that Sunlight would be
the best detergent to use in the
home if you want to do your part
in trying to improve our water
quality. This is consistent with
the fact that Sunlight is a soap
and does not contaiA the same nutrient phosphorus as detergents.

DETERGENT

GOOD

SUNLIGHT

BAD

% PHOSPHATE

Less than 1%

Less than 1%

ALCONOX

9.9 %
10.0 %

TIDE

11 . 75 %

IVORY LIQUID

13.2 %

ALL

13.98 %

30.6
36.20
40.5
39.49

GALGONITE
BOLD

21. 50 %
24.8 %

62.52 %
76.6 %

ARCTIC POWER

V

% PHOSPHORUS

30.50 %
%
%
%
%

THE EXPERIMENT

volatile and combustible material
has escaped and smoking subsides.
Now heat vigorously for 5 minutes.
2. Allow to cool and transfer the
contents to a 250 ml erlenmeyer
flask, rinse the crucible with
several 5 ml portions of concentrated hydrochloric acid, adding

Purpose:

To determine the phosphates in
detergents.
Method:

1. Place 1.00 ± .01 g of detergent
into a crucible. Heat carefully
over a low flame until most of the
31

�rinsings to the flask.
3. Carefully heat the flask almost
to dryness (use a retort stand and
asbestos mat to avoid splashing).
4. Cool. Add 50 ml distilled water,
10 ml concentrated HCl, cover with
a watch glass, and boil gently for
about 10 minutes.
5. Allow to cool and filter, washing the filter paper with several
10 ml aliquots of distilled water
to bring the total volume to 200
ml in a 400 ..ml beaker.
6. Set up pH meter, allow meter to
warm up for 10 minutes before standardizing.
7. With electrodes partially immersed in solution, add 50% sodium
hydroxide to convert H3 P04 to H2 P0 4
until pH of above 4 is reached. Now
add dilute sodium hydroxide until
pH is exactly 4.3.
8. Record the burette reading and
continue to add dilute NaOH until
the pH= 8.8.

Opencast Executive of the National
Coal Board operates mainly along the
northern outcrop from Kidwelly in
the west to Blaenavon in the east
and along the southern outcrop east
of Port Talbot. Annual production
is about two and a half million tons
compared to a total of fourteen and
a half million tons won by the National Coal Board 1 s East and West Wales
Areas by conventional deep mining
methods.
The Opencast Executive has no
compulsory powers to acquire land
and it is required to operate subject
to such conditions as are laid down
by the planning authorities. These
conditions invariably set out the
type of restoration that is required
after mining has finished and over a
period of years the opencast coal industry has been at pains to show by
the success of its restoration that
it is not only economically right but
can also contribute greatly to the
improvement of the environment.
The techniques of opencasting involve stripping topsoil and subsoil
which are stacked in separate dumps
for eventual replacement. The ideal
is to restore one foot thickness of
topsoil and two feet of subsoil over
the area stripped. Topsoil found on
sites in South Wales is invariably
very much less than one foot thick,
and quite often the subsoil is clay
of very small particle size which is
virtually useless for agriculture. So
the practice is to set aside not only
the available topsoil and subso 1 but
as much soil-making material as is
required for the proper restoration
of the sites. This material usually
consists
sandy clay contained in
the glacial drift that can sustain
good plant life when fertilized and
cultiva

Recheck your titration value by adding concentrated hydrochloric acid
and bring pH back to 4.3 and repeating the titration.

Opencast Coal Mining
Opencast coal mining began in the
United Kingdom in 1942 when as much
coal as possible had to be produced.
It still goes on because it is a
flexible and economical method.
Opencast sites can quickly meet
demands for a coal of a particular
quality when traditional deep mining
methods cannot. It also frequently
offers a unique opportunity for the
clearance of dereliction in coal
mining areas and British manufacturers are provided withal ively home
market for earth moving and other
equipment that they sell abroad, too.

The topsoil and subsoil are stripped off first and dumped to form sound
baffles or screens near to houses.
They are sown with grass and kept from
weed growth so that they are not eyesores.

In the South Wales Coalfield, the
32

�THE CTS PROJECT AND SOME EDUCATIONAL IMPLICATIONS
By T. R. Ide
COMMUNICATIONS TECHNOLOGY SATELLITE
- A NEW VENTURE

and it is this feature that permits
the use of the smaller and less expensive ground receivers and transmitters.
Existing satellites, despite the
relatively high cost of their receiving and transmitting stations,
have proved valuable in linking
points at great distances from each
other. It is not practical or economic, however, to utilize them unless there are· highly sophisticated
secondary forms of communications
systems such as broadcast networks
already in existence. Such restraints
will not apply to nearly the same
degree to the CTS.

In August 1975 the Canadian Department of Communications, in cooperation with the National Aeronautics and Space Administration
(NASA), plans to launch a Communications Technology Satellite (CTS).
The concept of this joint program
was first put forward in 1969, and
an agreement was subsequently reached in which Canada undertook to design and build the spacecraft, with
NASA providing the launch vehicle
and some of the advanced components,
such as the 200 Watt Travell inQ Wave
Tube transmitter.1 This is the first
such experimental project. Previous
Canadian Satellites, Alouette and
Anik, were operational rather than
experimental, and reflected an interpretation of established technology, whereas CTS is a distinctly
~ew venture and is so designed that,
1f successful, it will mean a major
step forward towards the improvement
of the means of communication.
The principal objective of the
project is to demonstrate the viability of relatively low cost ground
receiving and transmitting stations
in the order of $2,000 - $15,000
compared with the present Anik's
$150,000 - $200,000. To this end,
the designers are utilizing frequencies in the 12 and 14 GHz 2 bands
at power levels significantly greater than those provided by existing
spacecraft. Prior to 1971, the only
frequencies allocated for satellite
communications were below 9 GHz
which had to be shared with some
fixed terrestrial services, and
hence were subject both to frequency
sharing constraints and power limitations by international agreement.
In contrast, there is no power limit
imposed on satellite transmissions
on the new frequencies being used,

ORBIT IS SYNCHRONOUS
The Spacecraft, expected to have
a life of two years, will be launched by NASA using a three stage vehicle (DELTA) and will be located
in synchronous orbit at 114 degrees
west longitude. A synchronous satellite rotates around the earth at
the same speed as the earth and
consequently appears to be in a
stationary position over the earth.
Once stationary with respect to the
earth, the power will be derived
from two batteries plus solar cells
mounted both on the body of the
satellite and on two extendable
sails each 244 inches long and 51
inches wide. There are two antennas,
each of which provides for the simultaneous transmission and reception of signals that may be aimed
at any area in Canada or the United
States (including Hawaii).
The size of the signal contours
(foot-prints), of course, varies
with latitude and longtitude. However, in Canada, each foot-print is
approximately 1000 miles long and
300 mi 1es wide.
Despite the fact that the experimental time is limited, not only
33

�by the life of the satellite and the
fact that it will be shared by both
countries, but also by the numerous
technical systems and sub-systems to
be tested, an unusual opportunity
exists for organizations interested
in the educational and sociological
implications of satellite communications to devise and propose experimental projects which might utilize
effectively the unique capacity of
the satellite to span distant and
diverse communities, to access
isolated communities, and to utilize
the feedback capabilities of the
system. In Canada, the federal Department of Communications convened
a meeting in Winnipeg on October 18,
l 972 , at wh i ch an , i nv i tat i on to s ub mit proposals was given 3 and some
of the parameters to be considered
we re out 1 i ned.
The satellite itself will have
the capability of transmitting from
a main station simultaneously a combination of a colour TV signal, a
sound broadcast signal, and up to
ten channels of two-way voice to a
variety of remote terminals. At the
same time, it will be possible to
transmit a colour TV signal from a
remote transmission station to the
main terminal. Ground terminals
will consist of: (1) the existing
30 foot terminal at the Communications Research Centre in Ottawa capable of transmitting al 1· types
of signals envisaged for the CTS
satellite; (2) TV Remote Transportable Transmitters with ten-foot
antennas and high power transmitters with a similar capacity as
the Ottawa terminal; (3) mediumsized terminals with eight-foot
antennas capable of receiving a
TV signal with one audio channel
and/or receiving and transmitting
a telephone-quality voice channel
and/or receiving sound broadcast
signals, and (4) small-sized terminals with three-foot antennas
capable of a two-way voice channel and sound broadcast receiver.

Up to the present no decision has
been made by the federal authorities as to the final number of
ground stations they intend to
supply. It is preiumed, however,
that the number of such stations
will be determined by the availability of funds and the quality
of the proposals received.
EXCHANGES OF PROGRAMS ESSENTIAL
The Ontario Educational Communications Authority has been
authorized by its Board to submit
a communications experiment proposal to the Department of Communications. In essence, we see
fou~ (possible configurations:
( l) 'Northno North; (2) North~ to
S6uth;· (3) South to North, and
(4) Southl o South. At the present
time the proposal is in the draft
stage, but it is hoped that Ontario
might cooperate with other provincial jurisdictions, particularly
in the north to north experiments,
and with the Un,ited States in the
south to south. It is the Authority's view that exchanges of programs between agencies with similar
interests are essential if we are
to devise techniques for surviving
iQ a global village where electronic
walls, even if desirable, are no
longer possible.
The Authority has also volunteered to act as'a clearing house
for submissions from individual
educational institutions. One such
proposal has already been received
from Lakehead University. It wi 11
be given every consideration by the
OECA to see whether or not it might
be an integral part of the general
configurations described above, as
well as being forwarded to the appropriate Department of Communications Project Officer.
THE SEARCH FOR IDENTITY
It is our belief that the
experiments should utilize the
unique characteristics of the CTS
34

�that of software. Perhaps in
this case the trend may be
reversed.

systems. For this reason, we have
emphasized communications with isolated areas. Some of the issues described in detail in the OECA'S
proposal include: the search for
identity and its association with
the problems of isolation; health
care; education - both culturally
maintaining and expanding; and the
need for opportunities to participate in the decision making process.
Some of the purposes of the experiment which are central are assumed
to be: development of communications
skills in native peoples; formation
of guidelines relating to the nature
of future communications policies in
the North; measurement of the impact
of modern communications on the Northern peoples; determination of the
viability of satellite communications
systems in remote areas; diagnostic
assistance and health education; and
an exploration of the extent to which
an effective balance between the maintenance of a culture and the opening
of the culture can be achieved in
education programs. While the major
emphasis has been placed on experiments which relate to the needs of
the peoples in the Northern regions,
some suggestions have been included
which will test the economic viability of using the CTS system in the
South. These include: an exchange of
audio-visual programs between provincial ministries of education; a cooperative project with the State of
New York to investigate programs designed to assist in the rehabilitation of the physically disabled, and
links between post-secondary institutions in Ontario and California of a
te1econference nature.
In summary, the CTS satellite
appears to offer educators and sociologists a unique opportunity to
investigate the potential of a
satellite communications system
when the ground stations are of a
moderate cost. In the past, it has
seemed inevitable that the development of hardware always outstrips

FOOTNOTES
1 Unique

aspects of the satellite,
in addition to the frequency and
power of the transmitter, include
the ion engine which uses the
thrust of ions emitted to help
maintain a more exact stationary
position in orbit, and liquid
metal slip rings which are used
to transmit electrical signals
between rotating parts of the
satellite.
2A

gigaherz (GHz) is unit of
frequency measurement corresponding to one billion cycles per
second. Thus the frequency of
CTS is 12,500,000,000 cycles per
second. By comparison, VHF television operates in the range 54
to 216 megaherz (MHz) [54,000,000
to 216,000,000]~ and UHF television in the range 470 to 890
MHz [470,000,000 to 890,000,000]~
A megahertz corresponds to one
million cycles per second.
3Proposals

in writing should be
submitted to:

Mr. J. Gilbert, Manager,
Socio-Economic Project Officer,
DEPARTMENT OF COMMUNICATIONS,
100 Metcalfe Street,
Ottawa, Ontario.
KlA OC8.
;'.Editor's gloss.
T. R. Ide is the Chairman of
The Ontario Educational Communications Authority, a Crown Corporation of the Province of Ontario,
responsible for the development
communications technology. Mr.
spent twenty years in Thunder Bay
as a teacher, principal and superintendent with the Port Arthur
Board of Education.
35

�PRESENT AWARENESS
By a Liberal Science Student
Scientists are seeking other ways
of producing power. Experiments in
fusion (the H bomb effect) may be
successful by the end of the century
and might eventually provide us with
tremendous amounts of energy. J.1his

This winter, the citizens of
the United States have been experiencing gas cuts, failing oil
deliveries and electrical 11 brownouts 11 : they have experienced the
energy crisis at first hand. Canadians are only vague1y aware of
the problem, which concerns us
because in simple terms, our
neighbours want our fuel. Some
of the more perceptive Canadian
politicians and their constituents
are beginning to wake up to the
fact that perhaps we should take
stock before we agree to let them
have it. In a nuts he 11-: we shou 1d
make sure that we have enough for
our own needs before we sell any
more.

1

is not by any means a sure thing.
Solar energy (harnessing the sunlight)
is a long-term possibility, but trapping and storing energy would involve
the use of vast expanses of territory
and is not at present a feasible project. Efforts by scientists to improve
our exploitation of the sun as a source
of power have, in the past, been aimed
at increasing the sunlight-conversion
efficiency of solar cells. Such cells,
in the form of large panels attached
to satellites, might one day allow
their collected energy to be beamed
down to earth by microwaves. 1 But the
developmental problems of all such innovative techniques are of such a scale
as to be almost beyond our grasp.

SOURCES OF ENERGY
Our present sources of energy
are oil, gas and coal. There is
nuclear energy - but how soon wi11
nuclear reactors take over the
task of providing the electricity
that is needed? There is much misunderstanding about reactors: they
cannot take over from oil tomorrow,
next year, or even next decade.
Reactors take about ten years to
design and build: they can take up
only a fraction of total load, and
development is retarded by environmentalists who are opposing them on
the grounds of safety and thermal
pollution. The new breeder reactors
are more attractive than the present
nuclear reactors but design problems
are fierce, and they represent a
greater potential hazard than the
11
conventional 11 CANDU type reactors
designed and insta1led in Canada.
In the United States many vociferous
citizens' groups are vigorously oppo3ing the proposed proliferation
of breeder reactors. Yet the energy
from them is urgently needed.

CANADIAN RESEARCH
Another programme, instituted by
Canadian scientists, would use the
energy from vegetation waste. It is
contended that if Canada would devote
some of its research budget to prc,mote
11
Bio mass research" the economic payoff would be great. (A simple biomass
energy source has always been used for
energy - wood chips and sawdust!) 2
Many other types of research into
energy production are being carried
out. Wind power is unreliable but might
be useful on a small scale in underdeveloped regions.
However the time it takes between
the birth of each novel idea and the
final implementation is long, much
longer than people usually realize.
The ten years lead time for a nuclear
reactor is a flash compared with the
lead time for a fusion reactor of a
large-scale generating station. It is

36

�going to take a century for some
of today's ideas to bear fruit.
The results of today's decisions
on the selection of projects for
scientific research may not show
up ti 11 2000 or later. The Canadian Government is right I think
to insist that scientists should
expend more energy on applied research than they have hitherto.
If we let other countries continue
to do the applied research, we
shall never improve our economy.

for applied research, and no doubt
the Americans are working on it already.
The Government of Canada is
promosing us a policy on energy
within the next few months. I ts
policy on scientific research is
sti 11 in the forming stage.·!·
Citizens who are aware of the
situation do have opportunities from
time to time to make their voices
heard. We, in our Liberal Science
courses, are given at least a general
background of knowledge on which to
base our judgements. Scientists are
beginning to realize that their work
can only go forward if they have the
backing of the government. We, as
informed laymen, must realize that
our duty is to encourage scientists
and policy makers to make a greater
effort to communicate with each
other in the solution of real social
problems. The energy situation will
come to the top of the pile within
our lifetimes. There's a better than
even chance that our children will
shiver as a result of our mistakes.

CAN WE HELP?
Can we cut down on the amount
of energy we shall need? We can
take certain precautions. We can
limit the size of our families;
form car pools instead of travelling one person to a car; encourage
the greater use of mass transportation; turn off unnecessary lights
and go without air conditioning.
But there is one form of energy
without which we are lost. In
Canada we have to heat our homes
in ZJ.,inter.
Milton Rubin, an American scientist working on energy-utilization of efficiency, believes that
11
in considering the complete energy-use system, the trend should be
toward the development and manufacture of more efficient (and probably
more sophisticated and expensive)
equipment". He gives the startling
example that saving 200 kWh per year
per refrigerator could be achieved
by re-designing the domestic refr i ge rat or . I n the U. S . A. th i s s i mp 1e exercise would eliminate the
strip mining of four million tons
of coal or the equivalent energy
potential of many oil cargoes carried by supertankers. However, he
does realize that there would not
be a reduction in total energy
consumption unless 11 the manufacture
of this more efficient equipment is
economical in the consumption of
energy resources 11 • 3 Here is a task

REFERENCES
111 Physics

in 1972 11 , American Institute of Physics publication, p. 35.

2 Drew McGarton, Winnipeg, speaking
on C.B.C. radio broadcast, February

l, 1973.
3 Milton D.

Rubin,

Waste not, want
not in I . E. E. E. Spectrum, Vo 1 . 10,
No. l, January, 1973, p. 70.
11

11

t[Are you kidding? - ed.]
► Britain now has to deal with about
18 million tons of domestic refuse
per year. It can be used as raw material for the process pyrolysis in which the refuse is turned into
fuel gas and light and heavy oils.

37

�HARWELL ATOMIC ENERGY RESEARCH ESTABLISHMENT
By Huw Dorkins

r•emar•kah le pub Zication haD
come into our hands. It is entitled
ENQUIRY 1972 - The Science Journal
of Harrow County School for Boys.
This magazine is fu Uy professional
- it contains a wide range of articles contributed by the students_,
and about an equal nwnber written
by experts.
!l

The author is fourteen and very
interested in science, being a founder
member of the Junior Scientific Society.
He was responsible for the initial organization of the visit to Harwell on
which this article is based.
Harwell, near Didcot, is the site of
the Atomic Energy Research Establishment
(AERE), and recently a group of students
from school was taken on a guided tour
of th i s es tab 1 i s hme n t. I t i s s i t ua t e d on
a site of approximately two square miles
next to the Science Research Council and
the NIMROD accelerator. The site is divided into two sections. First, the main
site which is a large area of laboratories, accelerators, administrative buildings and a housing estate for those working there. Second, a smaller area which
contains the three more modern reactors
and their associated buildings. It would
have been impossible, due to the restricted time available, to show us the whole
of the AERE so, since we were mainly interested in the reactor assemblies, it
was these that we were shown. Before
describing the particular reactors that
we saw I should explain how reactors
work.

We are delighted_, with permission_,
to reproduce an article on Harwell
written by a young man of fourteen.
The original was illustrated with a
photograph of the LIDO reactor,
which for technical reasons we are
unable to reproduce. The article
is atypical_, in the sense that it
Is bas·ically an essay on a "school
visit"_, whereas many of the other
contributions are really miniature
research papers_, shawing considerab le flair.
What makes the enterprise so
successful? We suspect that it was
set up as a sound business organization_, with a Business Manager
(who is our contact)_, and a professionally orientated sales and
advertising staff. Certainly, the
workers have managed to corral
some pretty impressive advertisers
from areas of British business
circles not particularly noted for
their philanthropy.

REACTORS
All reactors depend on a process
called FISSION; this is when an atomic
particle, called a neutron, collides
with an atom of a fissile material,
usually an isotope of uranium. This atom
becomes unstable, eventually splitting
into two smaller atoms and emitting two
or three new neutrons and a considerable
amount of energy. Each of the two or
three new neutrons. may then collide with
more atoms of fissile material, causing
the entire process to be repeated two or
three times over. If this continued unchecked, so much energy would be produced
that an explosion would occur and indeed
this is what happens in an atomic bomb.
Therefore in reactors it is extremely

We hope the students are making
a profit. Whether or not they are
doing so, they can be assured that
they are gaining invaluable experience which they will find has a
market value. Harrow County School
for Boys must be an extraordinary
institution incked.
- Editor

38

�important to control the fission. This
is done by using control rods made of
a substance which will absorb excess
neutrons. The fission will only take
place if the speed of the neutron is
within a certain range, when it is
known as a thermal neutron. However
'
the neutrons emitted from a splitting
atom are moving too fast and so they
must be slowed down. This is done by
using a moderator, in which the neutrons collide with the atoms of the
moderator and are thereby slowed down.
Last, but not least, a coolant is
necessary to cool the reactor core
and stop it from overheating and, in
the case of power station reactors,
to transfer heat for use in the production of electricity.
Normally the core of the reactor
consists of a block of the moderator
into which fuel rods containing the
fissile material and control rods may
be placed and through which the coolant
may pass. It is necessary to protect
the reactor operators from any harmful
radiation from the core, so a large
biological shield of concrete is needed
to surround it.
Basically, there are two main types
of reactor in use. First, the large
scale type used for power production
(such as Calder Hall) and second a
smaller type for research. It is the
research reactor that is to be found
at Harwell. These reactors are used to
develop new techniques for use at the
former type of reactor, to make radioisotopes for medical and industrial
use, and to carry out research work
involving the use of high power radiation such as may be obtained from the
reactor core.
The reactors at Harwell are LIDO,
DIDO, GLEEP, BEPO (which is now shut
down), PLUTO and DAPHNE and we were
shown the first four of these and some
of the techniques and instruments that
have been developed there.

ber of a class of reactors, known as
swimming pool reactors, that have the
core immersed in a large tank of water
which acts as moderator and coolant.
The whole reactor is enclosed in a
concrete tank but because the reactor
is under eight metres of demineral ized
water it is safe to have the top open.
This is very interesting because one
can see a pcwerful blue glow, known as
11
Cerenkov 11 radiation, in the water surrounding the ~eactor. The reactor has
been in operation for sixteen years
and its maximum power output is lOOkW.
DIDO REACTOR

DIDO, so named because the moderator used is heavy water or DDO, is much
more powerful than LIDO. The reactor is
of the conventional type, but all those
who work on the reactor, and visitors,
must put on special overshoes and pass
through an air lock on entering the
reactor. They are monitored by ~eans
of a large scale Geiger counter on
leaving. As I have mentioned, DIDO is
comparatively powerful and has a normal
power output of about 15 MW. As well
as being the moderator the heavy water
acts as the coolant dissipating this
power.
DIDO and its sister reactor, PLUTO,
are both constructed in buildings where
the pressure inside is lower than atmospheric. This is so that if a leak
occurred, the movement of the air would
be from the outside inwards and as a
result no radioactive particles would
be spread, thus avoiding external contamination. It is a member of the group
known as 11 Materials testing reactors 1 '
and its purpose is to test various
materials to study their structure and
the effect of radiation on them. It
also produces radioisotopes.
GLEEP REACTOR
GLEEP stands for 1tG raph i te Low
Energy Experimental Pile" and is
located on the main site. It was
commissioned by the Atomic Energy
Authority in 1947 making it the
o 1des t pi 1e in Eu rope. It is used

LIDO REACTOR

This was the first reactor we visited
and is called LIDO because it is a mem39

�dieted the possibility of this
sale in a speech last February.
Mr. Macdonald noted that although
selling uranium at this time was
a difficult assignment, Canada
had succeeded in making a sales
agreement with Spanish utility
companies.
The sale to Spain comes at a time
when world uranium supply exceeds
market demand. The order will be
filled from the joint CanadaDenison stockpile and the general
government uranium stockpile. Deliveries will take place over the
period 1974 to 1977.
The sale will provide a market
for all of the uranium stockpiled
under the Canada-Denison agreement
of 1971. Tnder this agreement, the
Government of Canada, through its
crown corporation, Uranium Canada
Limited (UCAN), agreed to acquire
more than six million pounds of
uranium oxide from Denison between
1971 and 1974 in order to stabilize
employment and production at Denison's Elliot Lake mine in Northern
Ontario until long-term contracts
come into effect. The government's
share of revenue from the sale to
Spain will recover the $29.5 million of public funds spent in accumulating the stockpile.
The stockpile is controlled jointly by Denison and UCAN, with Denison acting as sales agent. As only
a portion of the general stockpile
will be used to fill the order,
UCAN will continue to oversee the
disposition of this governmentcontrolled stockpile.
In accordance with Canada's national policy on the sale of uranium,
the uranium sold to Spain will be
used for peaceful purposes only.
This will be assured by the application of International Atomic
Energy Agency safeguards.

for measuring a property known as the
Neutron cross-section 11 of various
substances. Its maximum power level
at present is 3 kW. GLEEP is an aircooled reactor with its core in a
block of the moderator, graphite
which is inside a cube of concrete
with sides of six and one half metres.
11

BEPO REACTOR
Although not as olci as GLEEP, BEPO
was shut down in 1968 when most of the
work beiPg done on it had been transferred to DIDO or PLUTO. As a result
the fuel rods were removed and the
channels for fuel and control rods and
experimental rigs were filled with concrete. The reactcr cannot be completely
dismantled because of the radioactivity
of its graphite core which still remains.
CONCLUSION
We all enjoyed ourselves greatly,
and the visit proved to be very interesting and valuable, giving us an insight into the operation.of the AERE
and some of the problems that still
remaineG to be solved in this field of
research. I wou 1d 1 i ke to thank a 11
those at Harwell who contributed to
the success of the visit and who
helped me in writing this article.

Uranium Sale To Spain

OTTAWA:- Canada and Spain have signed a
sales agreement for nearly $60 million,
involving some nine million pounds of
Canadian uranium oxide, to be used by
Spanish electric utility companies for
the generation of electric power, the
President of Uranium Canada Limited,
Jack Austin, announced. Mr. Austin is
also Deputy Minister of Energy, Mines
and Resources, and he signed the
agreement in Madrid on behalf of the
Government of Canada.
The Hon. Donald S. Macdonald, Minister
of Energy, Mines and Resources, pre40

�THE EFFECTIVE SHAPE OF A MOLECULE
By E.

Tyrrall

In the treatment of the Kinetic
Theory of Gases, molecules are assumed to be spherical in shape. This
assumption usually troubles students
of chemistry more than it troubles
students of physics because, in
their studies, the former acquire
a detailed knowledge of molecular
structure and molecular shape. Thus,
in the introductory course in chemistry, the student soon learns to
write the structure of the hydrogen
chloride molecule as H-Cl and that
of the carbon dioxide molecule as
O=C=O. As he learns more of the
electronic structure of molecules,
it becomes clear that these molecules have the following approximate
shapes:

HCl

this is not so in the case of
either rotational energy or
vibrational energy. Both these
are quantised. We are only interested in rotational energy. Because
rotational energy is quantised there
is for each substance a temperature
- characteristic of that substance below which the rotational degrees
of freedom will be frozen, i.e.
below which the molecules will not
rotate. This temperature lies below
room temperature for all substances
so that the molecules of all polyatomic gases rotate freely at room
temperature. In the case of hydrogen chloride the temperature at
which molecular rotation becomes
important is well below room temperature - it is, in fact, below
100° K. Now in this temperature
region crystalline hydrogen chloride
undergoes a transition, the higher
temperature form having a cubic
close-packed structure. This transition (at 98°K) is believed to be
due to the assumption, by the hydrogen chloride molecule, of an effective spherical shape consequent
upon the onset of molecular rotation.
Thus, although the actual shapes
of molecules vary, their effective
shapes in the gas phase will be
spherical provided that the temperature exceeds the characteristic
temperature for molecular rotation.

0
c=J

Scale models of these molecules can,
in fact, be made using, amongst
others, the Fischer-Stuart Models.
Neither of these molecules is, then,
spherical. It should, however, be
remembered that in addition to
translational motion, there are two
other types of motion open to a
molecule: rotary motion and vibratory motion. Thus th~ molecule of
hydrogen chloride can rotate about
its centre of gravity and, in so
doing, demarcate a spherical region
in space. In other words, although
the actual shape of a molecule may
be non-spherical, its effective
shape will, by virtue of its rotational motion, be spherical.
That this is so is confirmed in
an interesting manner by studying
the crystal structure of solid
hydrogen chloride. However, before
the results of this study can be
properly appreciated, it is necessary to remember that, although the
translational kinetic energy of a
molecule can vary continuously,

Mr. Ernest Tyrrall is Head of the
Chemistry Division, Northern Ireland
Polytechnic. A graduate of the University of Manchester, he carried out
research in thermodynamics of high
polymer systems with the late M. G.
Evans. Before moving to Northern
Ireland, he was a research chemist
with Imperial Chemical Industries,
Ltd. He is a devoted swimmer and an
established raconteur.
41

�PHYSICS AND BIOLOGY -

ARE THEY SEPARABLE?

By Margaret Hawton

BIOLOGY BECOMES QUANTITATIVE

excited. The transmission of the signal
is much like the trans~ission of a signal in an electrical cable.
All means of locomotion (walking,
running, skiing, flying) are examples
of the laws of mechanics. The size
1 imitations on animals with internal
skeletons, the way the muscles work
and the circulation of the blood are
all just simple physical principles in
action.

There is a growing trend today to
making biology quantitative. This
doesn't just mean weighing and counting things. Our basic understanding
of biological processes depends on a
knowledge of physical science. A few
examples wi 11 illustrate the point.
The numbers of predators and their
prey oscillate much like the position
of a mass on a spring. Since the number of predators and their food supply
(prey) are interrelated, the oscillations are 11 coupled 11 • Thus the predatorprey relationship is similar to the
coupled harmonic oscillator of classical mechanics. Much of the elegant
theory that has been developed over
the last few hundred years for oscillators can be carried over to their
biological counterparts.
An electrical potential exists
across the membrane of a cell. An
analogy can be ~ade between the membrane and the electric circuit shown
below. If the cell can transmit an

THE SCIENCES ARE INDIVISIBLE
If you think that you can understand
biology (or even physical education)
properly without first coming to grips
with the laws of physics, you are mistaken. The sciences cannot be separated
into neat little packages called biologyy
chemistry, geology and physics. They
are all part of a whole, and the boundaries that separate them are becowing
increasingly unclear!

Mrs. Hawton was born and educated
in New Brunswick and has been teaching
at Lakehead University since 1966.
Last year she spent her sabbatical in
the Biology Department at Carleton
University~ Ottawa.

OUTSIDE
RESISTANCE
CAPACITOR

MICROORGANISMS IN PULP MILL EFFLUENTS -

BATTERY

B.C. Research is completing the initial
$50,000 phase of a continuing contract
for investigating the significance of
microorganisms present in pulp and
paper mill process streams and effluents. The Committee on Pollution Abatement Research of the Federal Government
and the pulp and paper industry of Canada
are financing this investigation.
The results indicate limited growth in
waste streams, but significant growth
associated with raw materials and the
effluents resulting from their initial
processing.

INSIDE OF NERVE
impulse (e.g., a nerve cell), it is
said to be 11 excitable 11 • There are
many theories of the nature of the
excitation, but a 11 i nvo 1ve phys i ca 1
princip1es. One recent suggestion is
that the membrane contains two layers
of dipoles (a dipole is a positive
and negative charge of the same magnitude, separated by some distance)
that flip over when the nerve is
42

�FUTURE CAREERS
By Moc Ktytor
11

CAREERS 11 ARE OBSOLETE?

Students who are considering
going to university should, but
seldom do, ask themselves "Why
am I going?" It is absolutely
astounding to discover how many
students reply by saying 11 1 don 1 t
know 11 • A student who makes this
reply should perhaps delay attending university until he can identify a purpose. As in anything
else, a lack of motive, understanding and enthusiasm can only
result in a very poor job.

The idea of ''career' may be obso 1e te. Dynamic changes in career
patterns, the increasing rate at
which vocational and professional
skills become obsolete, new problems created by the accelerating
process of urbanization and major
shifts in social value suggest
that more than a single career
will soon be the order of the day
for most workers. Already jobs are
becoming obsolete at the rate of
two and a half per cent per year.
In twenty years, according to a
Wheaton College sociologist,
Zonda Linblade, sixty per cent
of all jobs today will no longer
exist.
The familiar question put forward by teachers and parents,
11
What are you going to be?", will
have to be re-phrased: 11 What wi11
be your first vocation?" No one
can accurately predict which jobs
will be part of the forty per cent
still in existence twenty years
from now, so flexibility seems a
sensible attitude to develop. Ten
years ago, an employer might have
looked askance at a job application by someone who had occupied
four different positions in ten
years; nowadays, the same employer might prefer the application
of such a person over another who
had not moved at all, because the
11 mover 11 has
proved that he is
flexible and adaptable.
There is a crisis of confidence
in social and educational institutions. We often hear that there
are no jobs for university graduates, or that the number of jobs
is decreasing. Let us look at it
another way. What does the new
university graduate have to offer?
Furthermore, does the university
exist to train people for jobs?
1

GRADUATES FLOUNDER ABOUT
What is even more astounding
is that when many young men and
women finally graduate from university they are still in a complete fog, and are very quick to
criticize everyone and anyone
about not being able to find a
job. My question is - 11 What do
you have to offer? 11 This is the
most important question for all
graduates.
A university gives every member
the opportunity of becoming a
"quality person". What I mean is
that one is encouraged toward
achieving a high standard of intellectual excellence, how to
think and understand, how to express ideas with clarity, how to
develop solutions to the increasingly complex problems which we
all must cope with. Most importantly, a student should develop
an awareness of reality of self
and others.
As far as specific training
for a job is concerned, it is unlikely that a university will offer
much. However, there is the opportunity to develop a unique human
skill that is imperative to be
successful in any career; that is
the ability to grasp quickly, understand and communicate. The

43

�university, in a phrase, trains to
get trained!
If one could achieve only part
of the above out of a university
education, and then ask oneself
the question, 11 What do you have
to offer? 11 , there is 1 ittle doubt
that the answer would be considerably more positive than the usual
11
I don I t know 11 •

for which a local, regional or
national shortage exists and is
expected to continue.
A special employer reimbursement formula is part of the new
program whereby employers will
receive, from the federal government, fifty per cent of the trainee's
wages during the first half of the
training period and twenty-five per
cent during the second half.
All employers not financed
primarily by tax revenues, including non-profit private agencies,
are eligible for participation in
the new program.
It is also open to public employers, either government owned or controlled, who are financed mainly by
public fees or sales, i.e. public
transportation companies, provincial
hydro or telephone companies, and
hospitals which are not wholly owned,
staffed and funded by provincial
governments.
The average amount of training
time in which the federal government
will participate financially with
employers is expected to be about
five months.
Maximum reimbursement will be
$118 per week per trainee.
Training periods may range in
duration from six to fifty-two
weeks and will be carefully determined in relation to the complexity
and number of skills to be taught,
prior experience or training of the
trainees, and expected productivity
of trainees at various stages of
training.
Trainees will be screened as to
their suitability for training in
a particular occupation by Canada
Manpower Centre officers. They
will be referred to the employer
for final selection.
To qualify for training,
trainees must be 11 adults 11 , that is,
one year beyond the school leaving
age of the province where they reside. They must also have been unemployed or on layoff for one week.

■ Anew manpower training initiative specially designed to alleviate regional and national shortages
of skilled workers and provide additional job opportunities for unemployed workers was announced by
the Hon. Robert Andras, Minister
of Manpower and Immigration.
As a continuing element of the
federal Manpower Industrial Training Program, Training on the Job
for Skill Shortages is now offered
to employers to encourage the hiring and training of workers for
hard-to-fill occupations.
As indicated by the Statistics
Canada Job Vacancy Survey and by
the number of unfilled job vacancies at Canada Manpower Centres
across the country, employers are
having difficulty finding fully
qualified workers to fill available jobs.
The new program wi 11 greatly
improve Canada 1 s effectiveness in
matching labour demand and supply
across Canada, Mr. Andras stated.
He added that, 11 Many of our workers
will now have the opportunity for
training and employment in occupations for which they would not
otherwise qualify and employers
will not have to lose production
and profits caused by skill bottlenecks.
In conjunction with the provinces, the Department of Manpower
and Immigration will assist employers in developing training
projects that will give new
workers skills to perform jobs
11

11

11

44

�Moe Ktytor

Margaret Hawton

"flexibility seems a sensible attitude to develop"

"The sciences cannot be separated into neat little packages"

Mrs Black and offspring in the Institute.

"Travel can be a broadening experience to be shared with students"

�HIGH SCHOOL .. DROP OUTS !
11

By Maurice G. Black
A SABBATICAL IN MEXICO
A sabbatica1 leave from teaching
for one year! What an opportunity to
travel with no dead1 ines to meet!
After a combined total of twenty nine
years of teaching experience, both my
wife Jackie and I were ready for a
change of pace.
We ended up in a school of art in
Mexico, taking courses for six days a
week and pounding out my thesis for
the degree of Master of Fine Arts.
Having spent the first five months of
the sabbatical trailering through
thirty three states of the eastern
U.S.A., we were ready to rest our
wheels for a time.
While our ten year old son Earl
completed his grade five at the Escuela
Bilingue in San Miguel de Allende,
Jackie and I enrolled in the Art school
for two semesters. Institute Allende
is an internationally known and recognized art school incorporated with the
University of Guanajuato, Mexico. The
colonial beauty of the town, the availability of tntriguing subject matter and
the ideal climate with perpetual sunshine provided a conducive atmosphere
for a concentrated study of the arts.
Gallery openings once a week by
artists of varying talent; excellent
live entertainment at the local theatre;
weekly swims at the ~earby hot pools;
daily visits with fellow trailerites;
watching various native fiestas -we
squeezed in all these besides keeping
up our numerous school projects.

guide books and travellers we met
along the way. Exaggerated tales led
us almost to believe that Mexico was
a vast area of desert and mountains
populated by thieves and beggars. The
water was unfit to drink; the food
was guaranteed to make you ill. During
our eight month stay in Mexico we discovered how false and distorted these
accounts were.
We found Mexico to be a land of
surprises geographically, populated
by people who were friendly and helpful. An abundance of fresh fruit,
vegetables and meat enabled us often
to eat better quality for much less
money than we spend on food in Thunder
Bay. We found on many occasions during our travels, that third-hand
information is certainly no substitute
for first hand experience.
TWO WAY COMMUNICATION
The three month crash course in
Spanish that we pursued at the Institute in San Miguel, Mexico, helped us
immensely to communicate with Mexican
people we met on our travels. Mexican
families pursuing various craft skills
described their work in Spanish and
were quite interested in finding out
more about Canada - the 'land of ice
and snow'! Everywhere we stopped to
ask directions, to obtain supplies,
to bargain for craft work or simply
to talk to the people, we were treated
with gracious courtesy. In every case
the Mexican people were most willing
to help us extend our limited Spanish
vocabulary and to correct us in the
pronunciation of difficult words.
Once a bond of understanding had
been established, that I was a teacher
photographing Mexican life to show
Canadian
ildren, most Mexicans became willing subjects for the camera.
Written and oral accounts regarding
the so-called dishonesty, filth and

SEEING FOR OURSELVES
During the nine month period that
we spent in Mexico, we drove more than
eight thousand miles of highway and
dirt roads. My family and I had spent
months doing spare time research on
Mexico and its people before we crossed
its borders in early December. We had
read and listened to many disturbing,
but often conflicting reports from

46

�We explored the archeologica1
ruins of Mitla and Monte Alban and
toured the museums in Mexico Ci
Tuxtla Gutierrez and Oaxaca to
learn more of this amazing Aztec
civilization. The floating gardens
of Xochimilco ... the Mexican Foklorico ballet ... the coppersmiths
of Santa Maria del Cobre ... famous
Oaxaca pottery ... historic Vera
Cruz ... colourful fiestas . : . bul 1fights ... each one provided a
unique and not-to-be-forgotten experience for us.

laziness of the Mexican people peP
sc readily arouse our indignation
and desire to disprove such unwarranted prejudice.
HIGHLIGHTS
To select highlights from this
nine month adventure is difficult.
My son's choice was the expedition
to the volcano of Paracutin which
developed in a cornfield and erupted in 1943. After reaching the departure point, a rather remote
village at the end of a rough dirt
road, we hired a guide and horses
for the ninety minute ride to the
lava beds. Nature's phenomena were
awesome, since molten lava had
flowed through a village leaving
portions of a church and remnants
of homes standing but embedded.
My wife was enamoured with the
sea coast of the Pacific. Life
evolved in a leisurely fashion for
the natives who spread large nets
once every two days to obtain
enough fish for their needs. Coffee beans, shrimp, and an abundance
of vegetables and tropical fruit
were available at low cost. Here
was an ideal site in which to park
our trailer where we could read,
relax and think undisturbed, with
miles of uninhabited sunny beaches
on which to wander.
The costumed Indians frequenting the town of San Cristobal intrigued me. This mountain town
located only sixty miles or so
from the Guatemalan border is sufficiently remote to be yet unaffected by tourism. Our strange
fashion of dress and white skin
attracted considerable attention
since these natives continue to
wear tribal costumes that have
not changed in design for many
centuries. After first allowing
some of the shy yet fascinated
young men to view their friends
through my camera view finder, I
was permitted the opportunity of
photographing them.

IT 1 S HARD TO RE-ADAPT
Since arriving home, we have been
caught up in the bustling 11 rat race 11
which we left over one year ago. Oddly enough it is the cultural shock
of a return to civilization to which
we had difficulty adapting! Our
future holiday plans include return
trips to Mexico, especially the Yucatan peninsula which could not be
included on our sabbatical itinerary.

We feel that travel can be a
broadening experience to be shared
with students and as such deserves
valid consideration by those contemplating sabbatical leave. The
opportunity to observe other educational systems in operation and to
exchange views with teachers in
areas removed from ours makes the
granting of sabbatical leaves valuable in that it enriches those who
have the opportunity to communicate
their heightened experiences to the
next generation. Finally, the sense
of achievement gained through furthering one 1 s education is in itself
a most rewarding experience.

Maurice graduated from Lakehead
University in 1965.
Jacqueline graduated from Lakehead University in 1969.

Ed. - People like the Blacks are
Canada 1 s most effective ambassadors.

47

�SO YOU WANT TO BE A NURSE?
By Made 1 in e Hook i ngs
A KNOWLEDGE OF SCIENCE IS NECESSARY

ber of the heart, the atrium, is a
small group of cells somewhat different from the other cells forming
~he heart tissues. This microscopic
island of cells possesses an innate
ability to send out electrical impulses that stimulate the heart
muscle to contract. Although scientists are yet to unravel how this
group of cells, called a node, actually accomplishes this unusual and
interesting phenomenon, there is
ample scientific data establishing
that it is the 11 pace-setter 11 or
11
pace-maker 11 of cardiac rhythm. It
sets the rate at which each individual's heart will beat throughout
his entire life. When it ceases to
emit these electrical charges, the
life of the organism ends.

Why, we might ask, is science
necessary in learning to care for
the sick? Because the central concern of nursing is to serve Man,
then many of his attributes must be
understood if this service is to
be skillfully performed. To gain
knowledge of this really unique
being, a nurse will need to know
about both his physical and emotional nature.
THE HUMAN PUMP
One of the most efficient and
enduring pumps ever conceived is
the heart. This pump beats approximately seventy times per minute
as long as a person 1 ives. Believe
it or not, by eighty years of age,
the heart will have contracted over
a tr i 11 ion t i mes . I t is very doubt ful whether any man-made apparatus
could possess such lasting properties.
The heart, besides its marvellous
ability to function continuously,
has a number of other interesting
and unique qualities. Each time
this pump works, it jettisons out
into the blood vessels from each
of its two chambers about seventy
to one-hundred and forty milliliters of blood. In the athlete
this amount can rise as high as '
two-hundred milliliters from each
chamber. This is a large output
indeed, when one considers that
the human heart is roughly the
size of a man's fist.

THE EFFECT OF THE EMOTIONS
As a censor of the individual 1 s
environment, the nervous system can
alter the established rhythm of
heart beat. This added control is a
most salient factor in preparing the
body for an emergency occurrence,
such as some external danger or an
illness. Also, the deepest emotions
are voiced in the language of the
heart, and while happiness is 11 hea rt·fe l t
sorrow is heartbreak
With
11
11
success, one is heartened and with
disappointment, 11 heartsick 11 • The
heart is the tissue of life, governed
by its own innate rhythm, nervous
mechanisms and other physiological
factors.
11

11

,

11

•

THE RED RI VER

THE RHYTHM OF LIFE

Like any other pump, the heart
must have fluid to perform normally.
In the human body, a very remarkable
fluid serves this purpose - The Red
River - blood. Should this fluid
volume be decreased by about twothirds of its normal complement, the
heart would no longer pump. This
principle also holds when the fluid
volume, over a period of time, exceeds

At about the tenth day of embryonic growth, a very minute
package of bright red tissue
begins to pulsate. This tissue
represents what will in time become a four-chambered heart. How
did this small bit of tissue begin to pulsate? Located in what
will become the upper right cham48

�its normal amount.
Blood is a red, viscid, salty
fluid that constantly bathes every
cell of an organism. Should an
artery become blocked, even for a
few minutes, the cells supplied by
this vessel would commence to degenerate or break down. For example,
if the flow of this river to the
brain were to be stopped for four
minutes, many of these all important cells would die.
One unique quality of blood is
its special ability to transport
food and oxygen to all parts of
the body; it is also the body's
housekeeper. The body cells are
extremely active miniature chemical factories, and where there are
factories there is usually waste.
In this case organic acids, carbon
dioxide and heat are some of the
waste products. The Blood is the
River of Life. Death is only minutes
away should it cease to flow.

many of us indulge in food high in
animal fats. Once an overabundance
of these fats enters the circulatory
system, they can, over a period of
years, cause untold damage to arteries of the organism. Of special
significance is· the damage to the
vital arteries that carry food and
oxygen to the heart itself.
What are these changes that occur?
Fats, in excessive amounts, invade
the walls of arteries and this over
a period of years leads to a narrowing of lumens (or tubes). This finally
results in occlusion or blocking of
the vessels, especially those that
supply the heart muscle. With complete occlusion, the individual has
what is commonly called 11 a heart
attack 11 •
IMPLICATIONS FOR NURSING
The foregoing discussion has indicated some of the scientific knowledge from which nursing concepts
can be drawn. When a patient has an
enlarged heart, the manner of positioning, to ensure the greatest expansion of the thorax, is accomplished through the application of the
nurse's knowledge of science. When
patients move in bed, they are inclined to hold their breath. In
heart disease, this can be dangerous,
even fatal. As an individual holds
his breath, pressure builds up in
the thorax inhibiting blood from
flowing into the heart. When he
breathes again, changing the pressure, a great rush of blood enters
the heart, causing stretching that
can, in turn, cause cardiac arrest.
This is perhaps one reason why persons with heart disease can die
suddenly. The nurse can, because
of her acquired knowledge, assist
patients to understand the danger
of holding their breath when performing various activities.
As a nurse, one must look
scientifically at all the components
that represent Man, and gain a relatively comprehensive understanding
of the river - our blood - its

STRESS - THE VILLIAN
Statistics reveal that about
half the yearly deaths are attributable to heart disease. Medical
literature lists many reasons for
heart disease, but certainly an
overall cause, in the opinion of
the famous Montreal scientist, Hans
Selye, is stress.
Temporarily, stress marshals
the body to ward off impending
danger. It prepares the body to
fight, for it is a survival mechanism of life. However, this defense
mechanism can harm the heart, blood
vessels or other body organs. When
an individual 1 s body is continuously subjected - for long periods
to a stress state, irreversible
harm results.
Nurses observe the results of
stress every day, as they work with
patients with stomach ulcers, high
blood pressure, heart disease and
other bodily ills.
ARE FATS CULPABLE?
On the North American continent
49

�point, or 27 distinct such lines
passing through the cube.
Consider one of these lines.
The two planes containing this
line and perpendicular to the faces
divide the cube into four quadrants.
Choose one of these quadrants and
call it
Each 2 x2 xl brick that
intersects A will intersect it in 1
2, or 4 unit cubes. Those that meet'
A in 1 unit cube are precisely those
bricks pierced by the line. Since A
contains an even number of unit
cubes, there must be an even number
of bricks that meet A in 1 cube.
Thus, there are an even number of
blocks that are pierced by the line.
It requires then 54 bricks if
each line is to pierce at least one
(and hence 2) bricks. However, a
4 11 x4 11 x4 11 cube contains only 16
bricks. Therefore, there is at
least one (in fact 14) lines that
don t pierce any of the bricks. The
rod should be passed along one of
these lines.
Consider an nxnxn cube to be
constructed as described above.
Can you show, using an argument as
above, that if n 3/4 &lt; 2.J(n-1) 2 ,
there is at least one way to pass
a rod through the cube without
piercing any bricks? What is the
largest value of n for which the
argument works?

sources, i ls channe 1s and its aclua I
composition. One must acquire a detailed knowledge of the engine that
makes blood flow through these channels - the heart. One must know what
the implications are when this pump
breaks down or wears out, what parts
can be replaced.
With this kind of scientific background the nurse then has the facts
in her possession with which to truly
serve that unique organism we call
Man.

Ms. M. Bookings is presently on
the faculty of the Lakehead University
School of Nursing teaching MedicalSurgical Nursing. She hails from the
Eastern Provinces where she received
her basic education. Following her
post-graduate work at McGill University in Montreal she has taught in
various schools of nursing in and
around the Toronto area. She brings
to her present appointment a depth
of experience and knowledge.

by

J. H. M. Whitfield

A contractor wishes to build a
411 x4 11 x4 11 solid cubical pillar out of
2 x2 x1 bricks. The faces of the
bricks are parallel to the faces of
the cube, but they need not all lie
flat. Also he wishes to have a thin
rod pass through the pillar without
passing through any of the bricks.
Can he do it? Sure!
Divide the cube into unit cubes.
This gives a 4'~4 grid on each face.
If a rod passes through the cube in
the manner described, it will intersect the face at a grid point. There
are 9 lines perpendicular to each
face, each intersecting it at a grid
11

11

11

1

A BRICK PROBLEM

11

11

A.

11

PUZZLE

???

THERE ARE 3 CANNIBALS AND 3 MISSIONARIES. THEY HAVE TO GET ACROSS
A RIVER INFESTED WITH CROCODILES.
THE BOAT HOLDS ONLY TWO PEOPLE. IF
AT ANY TIME THE MISSIONARIES ARE
OUTNUMBERED, THEY WILL BE EATEN.
GET EVERYONE ACROSS THE RIVER.

11

(swimming is out!)
- -

50

John MCLaren

�INTERVIEW WITH THE LAKEHEAD UNIVERSITY CHEMISTRY
STOREKEEPER= Bert Harding
IS TECHNICAL KNOWLEDGE MORE IMPORTANT
THAN SYSTEM MANAGEMENT?
Us:

analy0 ts and that; k /nd &lt;ij'
thing - but I must add Uwl
my own view of accounling at
the Departmental level is
that any intelligent person
can do it.

Did you read the first Caret?

Bert: No, not all of it. I suppose I
have read about half of the
articles.
Us:

Bert: Yes, as far as the Department
is concerned, there is no need
to get too deeply involved in
the accounting procedures. In
fact, you want it as simple as
possible. What the Department
needs to know is how much money
we have, how much we have committed to date and roughly where
it has gone.

Well~ did you read the interview with Ken Sumpter? What we
~re tryin~ to do is to produce
ui every 1,ssue an interview
with somebody like yourself so
that the students in high school
who read it have some idea of
what kind of jobs we do around
the University. We also want to
bring out the personalities and
interests of the people who work
in the Faculty of Science.
I honestly don't know what your
job is: I just see you there
surrounded by glassware and
chemicals. Can you tell our
read~rs what your job really
cons1,sts of?

Us:

Bert: Yes. I send in the records to
the Chairman regularly, as a
report, which tells him more
or less where we stand.
Us:

Bert: Yes. Well, essentially, I am
storekeeper for the Chemistry
Department.
Us:

How did you get into the job?

Bert: A~ w 11 as passing my techni7 diploma course, I also
cians
had some storekeeping experience;
but I would say that on the whole
my skills are in chemical technology rather than in business. I
use my technical knowledge in
what we might call stores systems
- that is, understanding the
specifications and properties of
chemicals and equipment for the
benefit of the other technicians
and the professors. For example,
they expect me to know whether a
particular piece of equipment
will do the job they want it to
do.
Us:

So you just keep a list of the
running expenses?

Do you find that more pressures
~om~ on you when the University
1,s 1,n a state of budgetary crisis?
Who decides what is necessary
spending and what is just frills
and can perhaps be delayed for
a while - do you?

Bert: I decide, or at least make recommendations, as to what we
need and what I think our priorities are; the final decision
is, of course, that of the Chairman, Dr. I. M. Hoodless.
Us:

Yes~ well he carries the final
responsibi U ty.

Bert: Other input also comes from the
faculty members who are in charge
of the various courses, and they
are often faced with the problem
of what is really necessary to
run their own courses, and how
they relate to all other courses.
Us:

Where did you get your training?

Bert: The Western Ontario Institute
of Technology in Windsor.

Well~ I have learnt something
already. I would have thought
that you would have had to have
all kinds of business courses
such as accounting~ systems

Us:

51

I think we ought to get across
to our readers the fact there
were Institutes of Technology

�available, then we send out
tenders ...

othm:) than Nyerson long bcj'or)e
the present community colleges
were formed.

Us:

Bert: Yes, there were four others including the Institute at Windsor
which has always been one of the
best Institutes in Canada. I was
there for three years ...
Us:

Did you go there before it became a community college?

Us:

Bert: Yes.
Us:

Most people think that Ryerson
was the only Institute that predated the colleges.

Bert: Ryerson is extremely well known,
perhaps because of its size. But
Windsor has always been competitive and graduates from Windsor
always have the offer of several
jobs each. Windsor produced its
first graduating class in 1961,
so it preceded the colleges by
about five years, at least.
Us:

What are your main problems in
storekeeping - apart from finding forty-five gallon drums for
the Editor of Caret?

Alright~ let's call it a situation ...

Bert: ... is to obtain the maximum
amount of equipment for the
minimum amount of capital, sometimes in a very critical situation.
Us:

This is no criticism of Purchasing~ but do you find that
you really know more about the
teehnical specifications than
they do and in fact it is more
efficient . . . quicker and mor•e
accurate for you to send out
the tenders yourself? You save
on one step in the chain.

Bert: Right. They are very helpful.
In fact, sometimes Purchasing
will have a problem connected
with another Department and
they will phone me for information on a specification and
how a company's product stands
up to both its specification
and to the wear and tear of use
in the laboratory. Manufacturers'
claims and performance do not always match! Some other departments are not so technically
orientated as those in the
Faculty of Science.

Bert: I suppose the main problem, although I don't consider it a
problem, more of a challenge ...
Us:

Do you do that or ... ?

Bert: No, I do it most of the time.
Occasionally, I will use the
assistance of the Purchasing
Department, which is excellent,
but generally they are very
busy.

WASTE NOT, WANT NOT
Us:

How do you do that? Do you talk
to salesmen or do you go out on
tender?

Bert: I talk quite a lot with salesmen
in person or on the telephone.
Perhaps I interview them rather
than the other way round! I get
ideas of what I want and then
discuss with various companies
how their particular equipment
operates to see if it comes up
to my ideas of what it ought to
do for the Department and whether
the claims are exaggerated. When
I know exactly what is available,
we write specifications which are
based on a compromise between
what we would like and what is

When I was in schooZ 3 more
years ago than I care to
remember 3 all I can remember
about chemistry labs is that
there was a great tendency to
use too much. 11 Don I t use a
gram when a kilogram will dd 1

seemed to be the motto. Do you
have any problem in that way?

Bert: Yes, especially at the first
year level. When there are a
hundred or two hundred students
doing the same laboratory, the
technicians have a terrible
problem in guessing how much
of the reagents they need to
prepare. In some laboratories
where the students are particularly sloppy, we may have to
52

�prepare two or three times as
much of a solution as is really
necessary, and often they will
run short in the middle of a
lab period which causes a great
panic - but the students have
only themselves to blame. Unfortunately the innocent suffer
with the guilty.
Us:

Bert: The solution is reasonably
simple. ·As a means of relaxation. When I leave the door of
the University, I enter a different sphere, and relax from
the problems that I may have
encountered at work. Similarly
when I come to the University
to work, I leave my home and
hobby problems behind! This
system affords greater use of
my mental capacities and replaces mental tension with preoccupation.

Have you ever suggested to the
professors that they fine the
students if they use too much?

Bert: No, we have never taken that
approach. By the second year,
the students are more lab orientated and we have less trouble.
Us:

Us:

Bert: I've never been in camp at
thirty below, but I have done
a great deal of outdoors work
including winter camping in
Northwestern Ontario.

Do you have to separate the requirements of teaching and research?

Bert: Yes, but much of the research
equipment is ordered by individual professors out of their
research grants.
Us:

Do you go camping out in the
bush at thirty below?

Us:

What sort of ages are the boys?

Bert: Well, we run programmes here
for boys from ages eight to
twenty-three.

Do you have any problems keeping
track of research equipment?
Finding out who's got it ...
whether undergraduate equipment
has wandered into some professor's research lab~ for instance?

Us:

Is the scout movement growing
or decrieasing?

Bert: At the present time, unfortunately, membership is decreasing.

Bert: There are some small problems,
but the real problem seems to be
more the mental attitude of the
individual.

Us:

What is the problem?

Bert: There are a number of factors.
Us:

Does the increase in social
self-discipline play a pa1 t?
1

SCOUTING

Bert: Yes, this is one of the bigger
social problems.

Us:

Us:

To complete the profile~ what do
you do in your spare time? I
know what you do in your spare
time ... could you tell the
readers?

Bert: Very, very slight. We obviously have to have some degree of
discipline, but we are far
from being a military force
or having a militaristic
philosophy.

Bert: Well, I like to be busy, active
all day. Perhaps I am more physically active in the evenings. As
well as indulging my interest in
radio and electronics, I spend a
great deal of time with the Boy
Scouts' Association.
Us:

Us:

Is there anything I have NOT
asked you that you would like
to tell our readers?

A SOURCE OF EQUIPMENT AND TECHNICAL
HELP

What's your position in the organization?

Bert: At the present time, I am on the
Executive Committee of the District Council .
Us:

Is there any military content
in scouting?

Bert: Well ... getting back to the
store, it might be interesting
to note that my store on the
second floor of the Science

How do you find enough time to
do that?
53

�Building has the largest stock of
scientific materials and equipment
in Northwestern Ontario. Not only
do we lend equipment out to other
Departments in the University, we
also lend to various high schools
and in particular to students at
the high school level who are working on projects for the Science
Fair. Such projects involve using
apparatus and chemicals which are
not available in the high schools.
It gives me great pleasure, both
personally and on behalf of the
University, that we can provide
this service to assist the students to develop their knowledge
and skills.
Us:

New Brunswick and so is Utopia,
Sugarloaf Mountain, both Upper and
Lower California and even Loch
Lomond.
These are some of the fourteenthousand names of populated areas
and natural features 1 isted in a
new edition of the Gazetteer of
Canada for New Brunswick, published
for the Canadian Permanent Committee
on Geographical Names by the Department of Energy, Mines and Resources.
The last edition, issued in 1956,
contained only seven-thousand names.
The bilingual gazetteer includes
a glossary of terms, a map of New
Brunswick showing counties and parishes, the exact geographical position
of each place and a map with instructions on how to obtain maps of regions within the province on a scale
of 1 :50,000.
Other exotic place names found in
the province are: Push and be Damned
Rapids, Pull and Be Damned Island,
Sl ingdung Brook, Spit Shoal, Skull
Island, Hells Kitchen (a ravine),
Left Hand Leg (a bay), and The Old
Sow (whirlpools). New Brunswick has
thirty-three Mud Lakes, four Devils
Elbows (river bends), ten Dead
Brooks, a Five Fathom Hole (a cove),
the Kouchibouguac River and Scoodawabscook Bend. And there are some
lyrical names as well: Diffin Heath_
Frosty Hollow, Little Dipper Harbour,
Rasberry Cove, Strawberry Marsh and
Woodpecker Hall.
The Gazetteer is one of the most
advanced in the world. Committee
staff went into the field interviewing, checking spellings and verifying geographical features over a
two-year period. Up to this point,
names in gazetteers have usually
been drawn from maps and records.
It has been found, however, that
field studies result in an increase
of one-hundred percent in the stock
of names. They also reveal an inaccuracy rate of twenty percent in
documents and maps already printed.
The Gazetteer of New Brunswick is
available from Information Canada
for $4.00. II

Too right. A lad came to me for
some phosphor which he wanted to
use for a Science Fair project.
I was able to give him ten different ones, which was I think
beyond his wildest expectations.
But we have got to be careful
that such requests don't become
too great in volume for us to
handle. They go back to school
and show all their mates who
then descend on us in droves!
But I suppose that's a good
thing for the University in
the long run.

Bert: Yes, I like them to come to us
looking for information and
ideas.
Us:

You know the National Science
Fair is going to be here this
surroner?

Bert: Yes. I 1 m looking forward to it
very much. I have been involved
in the Science Fairs in small
ways in the years past, and it
will be interesting and exciting
to see what the rest of the country has to offer.
Us:

Thank you very much. II

INFORMATION

*

CANADA

Skunk Hollow, Deadman's Ledge, Squirrel
Jump Gulch, Horseback Ridge. Names out of
the American West? No, they're all in
54

�THIN SECTIONS
By R. L. Bennett

4. Mounting the slide
5. Cutting off the mounted slab
6. Thinning down to transparency
7. Hand finishing to petrological

WHAT A THIN SECTION IS - AND WHY
One of the most striking natural
substances seen through a polarizing
microscope is a 11 thin section" of
rock. A thin section is a sliver of
rock .03 mm. thick on a glass slide
with a protective glass cover slip.
The purpose of the thin section
is to examine the crystalline structure of rock, to determine to which
category it belongs - igneous, sedimentary or metamorphic. Its geological interest, as in stratigraphy,
to help in the making of a geological map, or in the identification of
a rock type for economic purposes,
say as an aggregate for concrete, or
to see whether the rock texture is
suitable as a foundation for a dam
or similar huge engineering project.
The name given to the general
study is Petrology, which is derived
from the greek Petros, rock and ology
- the study of. The first person to
think of a method of examining the
internal structure of a rock was
William Nicol, a Scottish Geologist:*
he had a lapidary do the work for
him, (this was in 1827). He discovered or invented the Nicol prism,
a piece of Iceland spar (Ca C03) cut
in such a way as to give polarized
light. All his work was done purely
by hand.
The modern method of making a
thin section is a comparatively simple mechanized technique, only the
last operation being done by hand.

8.

Stage One.
-The first rough cut:
This is done with a 11 cut-off machine 11
equipped with a diamond impregnated
cutting blade, which is a round disc
of metal of something over a foot
diameter having a diamond-charged
edge al ittle thicker than the blade
itself. This is to prevent the blade
from jamming in the cut, and also
allows the coolant fluid to wash
away the rock powder. The procedure
is to have the rock firmly clamped
and to have a smooth easy feed
against the blade to ensure a smooth
clean, cut surface. The rock slab
should be about l/8 11 x 1/4 11 the precise size depending on its texture.
Stage Two.
-

3.

Cutting to size for glass slide

Having examined the cut surface and
selected the area required for the
thin section, the slab is marked
with a pencil or ink marker, and is
cut by a hand or a trim saw. The
finished slab should fit on a slide,
the edges not overlapping the slide
as this would cause difficulties in
later stages.

ALL THE DETAILS
1.
2.

thickness
Mounting the cover slip

Stage Three.

Stages.

-

The first rough cut
Cutting to size for glass slide
Grinding to mount on the slide

The slab is now ground with 400 carborundum and water on a lapping
machine until all the cut marks are
out and the surface is flat with
even texture, and then further
ground on plate glass with 600 or

*Mr. Bennett is himself an undoubted
Scot! - Ed.

55

Grinding to mount on the slide:

�l ,000 grit carborundum to ensure
a smooth surface. This is a very
important stage. If there are
pits in the surface air bubbles
wi11 be trapped and that part of
the section could be lost during
the final stage of grinding.

a rate suitable for the texture
of the rock. In an a 1ternate
technique, the slide is machined
by means of a diamond impregnated
buff which grinds the slabs down
to a set thickness.
Stage Six.

Stage Four.
-

-Thinning down to transparency:

Mounting on the slide:

The now transparent section of
rock is removed from the cut off
machine and fitted to a similar
machine equipped with a diamond
buff. The slide is held by a
vacuum chuck on a hand operated
arm. With the aid of a microthreaded lathe slide, the rock is
moved into the buff, and 2 to 4
thousands of an inch is removed
at each forward movement. This
continues until the slab is thin
enough to examine through the
microscope. It will be observed
that under polarized light the
colours given by the quartz,
Feldspar crystals will be of a
green blue red orange hue. The
section should now be washed and
hand finished on the glass plate,
with 600 carborundum.

The slab, having been washed clean,
is placed fine ground surface upward on a hot plate at a temperature of about 150°c. This is not
a critical temperature but a handy
one to work on.
A glass slide is cleaned and laid
on the hot plate. The adhesive
material used is a Thermo plastic
under the listing of Lakeside 70.
It has very great adhesive powers
and a refractive index of 1 .52
which is very important in the determination of the Feldspar group
of various igneous rocks.
The adherence of the slab to the
slide is a matter of melting a
small amount of the adhesive on
the slide and the slab surface,
putting the two surfaces together
and pressing out the air bubbles,
at the same time centering the
rock slab on the slide.

Stage Seven.
-Handing finishing to petrological thi~kness:
Finally, the last touch is added
by hand - grinding. As the art
of making a thin section of rock
is to retain the outside of original slab so as it can be compared against the rock cut, it is
advisable not to use a circular
movement on the glass. This is apt
to give rise to a rounded thin section. The grinding movement should
be elongated, with not too firm
pressure of the finger on the back
of the slide. Depending on the
texture which in turn governs the
hardness, the final grinding should
take a few minutes to produce the
standard 11 first order 11 grey to the
quartz and Feldspar.

A number or mark is scratched on
the back of the slide for further
identification, should it need to
be catalogued for teaching purposes.
Stage Five.
Cutting off the mounted slab:
The now mounted slab is reduced to
its proper thickness. The fir:t
stage is to cut off the slab with
a fine diamond impregnated blade,
usually about 511 in diameter and
about .012 thick with a speed of
2,000 r.p.m. The slide is held
in place by a vacuum chuck, and
the feed is advanced by hand at
56

�Stage Eight.
-

_□ ~Hugh Mill~r, to his dying day,
~ns1sted that nothing oryanic lived
1n the north of Scotland previous
to the deposition of the Old Hed
conglomerate. The Old Red conglomerate was to him the fossiliferous
base in the north He knew and acknowledged the Silurians of the
south of Scotland; but he argued
that Durness limestone was of Old
Red age. Professor Nicol said it
was of mountain limestone. Sir
Roderick Murchison has classed it
Silurian.
When Hugh Miller was in Orkney
he saw the Old Reg conglomerate at
Stromness, and followed the fossiliferous rocks along the sea-shore
upwards, until he found a fossil
bone, which he termed the 'Nail',
and he counted how many feet this
'nail I was above the Old Red conglomerate. He considered this
'nail I the oldest bone in Scotland.
So he said. He knew of none older
at that time. The Durness fossils
being all shells and molluscous
animal remains, Hugh probably
thought that nothing of a bony
nature existed in Scotland older
than his Stromness nail
And this
bone was a fish remain, many hundred
feet above the Old conglomerate.
But what would Hugh have thought
of fish underlying Old Red conglomerate? Fish remains older than
conglomerate? Alas, poor Hugh!
such is actually the case. The
other day I turned up and brought
home with me to Thurso the remains
of fish that had lain buried below
the Old Red conglomerate! But Hugh
had seen the 1 Base 1 in many places
and preferred retaining the old
opinion.
I believe the opinion entertained
by our highest geologists is that
there is Old Red conglomerate of
many ages; whereas Hugh Miller considered it as of one age - one great
formation. He says that it extends
from the Grampians to Orkney, and
from Peterhead to the Western Isles;
that it lies in a continuous stratum of variable thickness; and that
no fish lived then in what is now
Scotland. A great mi stake! □

Mounting the cover slip:

The surface mounting medium is removed, by using a razor blade or
similar instrument, the s1 ide is
cleaned off with acetone, chloroform or alcohol. A glass cover
slip is cleaned and covered with
Canada Balsam enough to cover the
slip. This is placed on the hot
plate and the balsam allowed to
heat, driving off the solvents.
It is not necessary to overheat
the balsam, which is ready for
use when all the air bubbles are
out, at which time the rock slide
is reversed onto the balsam, i.e.
rock section downward. It is then
1 ifted clear off the hot plate
and pressed down to remove the
air bubbles, making sure the
cover slip is evenly down on the
rock section and centred on the
slide.
The surplus balsam is cleaned off
by immersing the slide in acetone
for a few minutes, and subsequently wiping with a tissue, the process is repeated in chloroform,
the slide is wiped clean, washed
in warm detergent water and dried.

1

1

•

Dear Reader, that is the basics
of how a thin section of rock is
made - believe me, I have made all
sorts. There are many papers and
chapters in geological books written on the subject, but, in my
view, there is only one way to
learn the technique - the more
you make, the better the results!
Mr. R. L. Bennett came to Lakehead University in 1.96? from Edinburgh University where he was the
Chief Technician of the .Department
of Geology. He was the founder and
first President of the Scottish
Mineral and Lapidary Society, the
first to be farmed in Great Britain.
He enjoys fly fishing and relaxing
in his cottage on the Karn River,
but regards hunting as a pastime
he can do without.
57

�HOW MAY
EXPANSION
By

TEACHERS
OF THEIR

KEEP IN TOUCH WITH

THE

SUBJECT?

J. S. Griffith

Both school and university teachers
are faced with the knowledge explosion.
Subjects at one time the preserve of
university courses are moving into the
school curriculum, graduate level subjects are moving into undergraduate
level courses. New facts and methods
of approach are available.
Here I will concentrate on one subject area, but many of the suggestions
are applicable to other disciplines.
The teacher should use the courses he
teaches as an avenue to creative activity. Books, journals and articles
should be scanned for lively examples
and applications while dissatisfaction
with a textbook may be turned into the
writing of substitute units and their
existence (and the dissatisfaction)
brought to the attention of other
teachers by publication in Caret or in
the Ontario Mathematics Gazette.
Cooperation with other teachers in
interdepartmental courses and projects,
and advice of interested students in
competitive opportunities like the
Gelfand Club and the various Mathematics Contests will aid in stimulating
thought and in keeping abreast of the
tide.
Organization of a mathematics club
with invited talks from visitors (any
of us at Lakehead are willing to
come), as well as by teachers and
advanced students on their independent
reading (for example historical development of a certain topic), problem
sessions together with visits to the
university 1 s periodic seminars (ask
to be put on our mailing list) will
help, as wi11 the reading of expository books and articles. Again there
are two publications that are willing
to publish book reviews and reports
on articles you find valuable.
Attendance at (or organization of)
development days or summer institutes

will aid you and your fellow teachers.
If you think we can help, why not ask?
Contribution of articles to the
Ontario Mathematics Gazette is another
avenue to be explored. We want more
articles from practising teachers,
especially from those at the elementary level, and the editors are helpful and understanding!
All these suggestions require time,
motivation and opportunity. I hope
that Caret and the Gazette offer some
stimulus. There are presumably
boards, provincial and federal sources
that support investigations into curriculum reform and innovation, staff
training, and experimental courses.
Why not tell others of the avenues
you are aware of by using the embryo
'Letters' section of the Gazette?
The establishment of an individual
program of study and exploration will
help keep you active. Resolve to
read through at least one journal or
book a week. Each departmental head
should encourage junior members to
stay alive mathematically and, both
in schools and universities, bears
the responsibility of keeping teaching loads down so that free time for
intellectual stimulation is not el iminated.
These ideas were stimulated by a
paper by D. E. Christie and J. H.
Wells in the American Mathematical
Monthly (74, October 1967).
Even as the finite encloses an
infinite series
And in the unlimited limits appear,
So the soul of immensity dwells in
minutia
And in narrowest limits no limits
inhere
What joy to discern the minute in
infinity!
The vast to perceive in the small,
what divinity!
- Jacques

58

Bemou I Ii / 1674-17 0-6_

�ARE TEACHERS

BORN

OR

MADE?

( OR HOW TO KEEP YOUR COOL AMIDST THE EDUCATIONAL

)

By Casey A. Gehrels
Elementary and secondary education
is becoming saturated with terminology
that means little to anyone involved
in the schools, least of all the
people it is serving, the students
and their parents.
The people involved in education
will usually state that the basic
function of the school is to produce
good citizens and to provide the opportunity to students to develop to
their fullest potential. It is difficult to find fault with statements
such as these, but we as teachers run
into trouble when we try to interpret
what they mean in the classroom situation.
I should comment here on two points
which I believe handicap a teacher in
his responsibilities. You can also
observe these points with post secondary teachers. First, it is difficult for a teacher to picture that
learning takes place anywhere but in
a classroom. If you were assigned and
paid for performing in a single room
in a school, which is true in most
schools, you would experience the
feeling that this room constitutes a
completely separate and unique world
for the teacher and the students.
You can see a consequence of this
situation in the intense difficulty
students have in transfering any of
their learning to situations outside
the i r c 1ass room. Second, teachers
like to think that 11 teaching 11 and
II
1
' 1ea r n i ng
a re the same th i ng . Th i s
is reasonable to expect because
teaching gives an i mmed i a·te sense
of accomplishment, whereas learning
can probably not be observed by
another person. It is also easier
to teach than to help people learn.
let 1 s look at some of the jargon
in education. To start with, if you
are a good teacher you should have
11
valid and viable aims, and objec-

tives 11 • You could even state your
1
objectives in 11 behaviour te
This means that you should know
you are teaching things
that
you could predict the results
teaching in terms of whats
ts
will act like when they come off
the assembly line.
Courses that are up-to-date
should be "multidisciplinary, interdisciplinary, transdisciplinary, nondisciplinary or integrated". This
means that your courses must not be
based on one of the disciplines,
otherwise the student won't have a
11
felt need 11 for the material. Many
teachers assume that their main
function is to organize the
ect
material for their students. The
way to do this in science is along
11
conceptional schemes 11 • This means
the teacher must weave spaghettilike story lines through his subject
matter, so students will learn important things. If you have taken
grade 13 Physics lately you know
that it takes a year of following
a predetermined line of thought to
learn something about the hydrogen
atom.
If your courses are up-to-date
they should be based on 11 process 11
not 11 content 11 • This sort of means
that students may end up learning
whatever it is they learn; the important thing is what happens while
they are learning.
As a student in a modern school
your learning falls into three
"domains: cognitive, affective and
psychomotor 1 ' . This means
t your
learning is organized into three
areas; what you learn about know ng,
feeling and doing.
Have you spent any time lately
trying to explain to a seven year
old what a garbage man is? It didn 1 t
he1p your cause much when you
ined
59

�I "The main function of a language,
communication, has been analyzed by
K. BLlhler into three functions: (l)

him as a 11 sanitary engineer 11 • You
were talking Greek. When teachers
get to talking with one another, the
jungle of meaningless terms makes
the legendary language confusion of
Baby 1on 1ook l i ke a Grade l 11 Reade r 11
(reading book).
Teaching boils down to being able
to talk to and understand your students. Educational jargon stifles
this communication. When we train or
try to improve teachers, we offer
them little but jargon. People do
not learn to communicate by having
other people talk at them in strange
language.
Teachers are not made by other
teachers or books.
But perhaps teachers are born in
the classroom?
111111

THE

ADVENTURES Of
by

MATHMAN

the expressive function -

i.e. the

communication serves to express the
emotions or thoughts of the speaker;

(2) the signalling or stimulative or
release function - i.e. the communication serves to stimulate or to release certain reactions in the hearer
(for example, linguistic responses);

and (3)

the descriptive function -

i.e. the communication describes a
certain state of affairs. These

three functions are separable in so
far as each is accompanied as a rule
by its preceding one but need not be
accompanied by its succeeding one.
The first two apply also to animal
languages, while the third appears
to be characteristically human. It
is possible (and I believe necessary)
to add a fourth to these three functions of Buhler 1 s, and one which is
particularly important from our point
of view, viz. (4) the argumentative

111111

LU. MATH CLUB

After finally reducing the 8th
degree differential equation to a
series of harmless 1st degree
equations, MATHMAN was heading home
to his Locally Compact Hausdorff
Space on his trusty homomorphism,
Hans. Hiding under an open cover,
his Arch Enemy SIN- 1 -½- chose a
lethal s&gt;O from his arsenal of
real numbers. Heedless of the
Heine-Borel property, the villian
projected hiss right through a
finite subcover at our hero!!!!
Having previously predicted that
the probability of this event was
negligible, MATHMAN was caught
with his functions down. Frantically he grabbed his pocket APL
terminal and by inspection sought
a suitable o&gt;O depending only on s
to make the sequence of destructive elements to converge in a
harmlessly distant Hilbert Space!!

or explanatory function - i.e. the

presentation and comparison of arguments or explanations in connection
with certain definite questions or
problems. A certain language may

possess the first three functions
without the fourth (for example that
of a child at the stage when it just
names things). Now, in so far as
language qua institution has these
functions, it may be ambivalent. For
example, it may be used by the speaker to hide his emotions or thoughts
as much as to express them, or to repress rather than to stimulate argument. And there are different traditions connected with each one of
these functions. For example, the
different traditions of Italy and of
England (where we have the tradition
of understatement) in connection with
the expressive function of the respective languages are very striking ... 11
1

Will he find a suitable o?
Will the computer stay up?
Will SIN- 1 t ever converge?

1

CONJECTURES

AND

REFUTATIONS: The Growth

of Scientific Knowledge -

Watch for the answers in the next
MATHMAN adventure.

[Harper
60

&amp;

Row, Inc. -

KARL J. POPPER.

1968]. ■

�LAKEHEAD BECOMES CANADIAN OPEN UNIVERSITY
New degrees give unique open
By

Edward Mercy

The Senate of lakehead University has
given approval to a new ki·nd of degree
structure to be known as the B.Sc. (or
B.A.) General Programme. It is a particularly suitable study programme for the
part-time adult student, although it is
open to any student who has met the usual entrance requirements. Consideration
of two factors led to the regulatory
basis for the new degree.
Universities are urged to be relevant
to the needs of present day society and
to serve the region in which they operate. At a time of severe financial restraint, it is just not possible to develop new courses which meet these criteria. The General Programme overcomes
this difficulty by making all existing
courses available to the student, subject to certain conditions.
FREE CHOICE OF SUBJECTS
Most of the programmes of study at
Lakehead University are arranged so
that the student may meet the requirements of various professions. This
means, in general, that choice of
courses is severely limited and that
specific requirements, especially in
the major subject and to some extent
in the minor subjects, have to be complied with. There are probably many
people in the community who would like
to study certain aspects of knowledge
but have no desire or need to meet existing pre-requisites. The nature of
the General Programme is such that
students may make an entirely free
choice of subjects to be studied.

access
(2) The credits may be obtained by
taking any available courses offered by the University without regard
to published pre-requisites.

(3) The student is advised to discuss
the importance of pre-requisites for
a particular course with the Instructor of the course.
(4) Only seven first-year credits
may be included.
(5) At least two third-year
credits must be obtained.
(6) The remaining six courses
may be taken at second, third or
fourth year levels.
Thus, the degree programme really
is as free as it possibly can be.
The only important restriction is
the one concerned with pre-requisites
because, especially in the more professional courses, prior knowledge
of the subject may be essential. But
the University recognizes that such
prior knowledge may already have been
obtained elsewhere than at the University, for example by private study
or practical experience.
Whether a B.Sc. (or a B.A.) is
finally obtained is simply based on
whether there is a majority of Science
or Arts courses in the fifteen credits.
■ Lakehead University evolved from the
Lakehead Technical Institute which was
established on June 4, 1946. Classes
commenced in January, 1948, in temporary rented quarters in downtown Port
Arthur. In September of that year,
first year university courses were
added to the curriculum. The Lakehead
College of Arts, Science and Technology was established by an Act of the
Ontario Legislature assented to on
March 28, 1956, and proclaimed on
August 1, 1957. The present university
site was occupied on October 2, 1957.

REGULATIONS ARE MINIMAL
The regulations for the degree are
these:
(1) A student must obtain fifteen
credits in order to be granted the
degree.
61

�TRANSLATION

ON

A COMPUTER

By K. H. V. Booth
PROGRAMS PRODUCE ROUGH TRANSLATIONS

French word horrone begins with a mute
h we actually choose the abbreviated
version l'. Next we have to look up
speaks and here the difficulty occurs
that a normal English/French dictionary will have no entry for this form
of the verb, but only for the infinitive speak. We could possibly program
the computer to recognize that speaks
consists of the root form speak, together with the endings, but it turns
out to be easier to store all possible
forms of verbs (speaks, speaking, spoken, etc.) in our computer dictionary.
Of course our program must also be
able to recognize compound forms such
as will speak, has spoken, etc. and
choose the appropriate French equivalent. The latter process incidentally
entails coping with the numerous irregular verbs of unhappy memory for
anyone who has struggled to learn
French!
Fortunately, however, all this is
fairly easy to accomplish. Computers
are very efficient at storing long
lists of words and at referring to
them. They can also be made to manipulate words, adding endings, etc.
using the techniques of text processing.
Another problem which has to be
faced is that word order is rarely the
same in two languages. Suppose that we
consider the sentence: The blind man
speaks. In the French equivalent:
L'horro-ne aveugle parle. the adjective
must be placed after the noun instead
of before it as in English, and this
is just one example of the differences
between English and French in this
respect.
Again, this is a task which can
easily be programmed into the computer.

For many years work has been going
on directed at producing translations
from one language to another using a
computing machine. Much attention has
been paid to the problem involved in
translation to and from English and
Russian, but here in Canada work has
concentrated on English to French
translation for the reason that our
bilingual laws necessitate a great
deal of this.
So far the results of this work
have been one or two programs which
produce rough but fairly understandable translations of technical papers
from Russian into English, and a program, developed at the University of
Saskatchewan, which has processed
about 10,000 words of translation
from English into French. The output
is far from perfect but can be understood and edited fairly easily by a
French speaker.
To see why we are still far from
producing perfect translation we must
look in more detail at some of the
processes which are entailed.
THE METHODOLOGY
Suppose that we wish to translate
the sentence: The man speaks. into
French.
The first step is to look up each
word of the sentence in a dictionary,
for unlike ourselves the computer
cannot 11 recall 11 information instantaneously, but must consult the dictionary each time.
The French equivalent of the will
be found to have four alternative
forms, 1e, 1a, 1 1 and 1es, depending
on the gender and person of the following noun and the first task is to
pick the correct form. The dictionary
entry for man will contain the information that this is a masculine
singular noun, normally requ1r1ng
the translation le, but since the

WORDS ARE TWO-FACED
So far, however, we have ignored
one huge difficulty. When we look up

62

�man i n our di ct i ona ry, the re wi 11 be

IDIOMS AND STYLE

three different translations depending on whether the word is used as a
noun, adjective (man sized) or verb
(to man the ship). Similarly blind
might be either a noun, adjective or
verb.
Faced with multi-purpose words
such as these (and in a typical piece
of prose about half will consist of
them) how can the computer decide on
the correct choice?
Several ways have been suggested.
One of these is to make the computer
11
pa rse 11 the Eng 1 i sh sentence, using a
set of construction rules which define the combinations of parts of
speech which are permissable in a
grammatical sentence. For example,
the combination (Adjective Noun Verb)
is possible, whereas the combination
(Adjective Verb Noun) is not.
This method which has been evolved
by a group at the University of Montreal is theoretically attractive
since new rules can be added easily.
In application to actual texts, however, it appears less so, since the
multiplicity of possible parsings
which have to be considered make it
very slow, particularly for long sentences.
In the method developed at the
University of Saskatchewan a completely different approach based on
the statistical likelihood of the
function of each word in a sentence
is used.
Instead of defining rules for constructions, we use statistics accumulated from text of similar type to
make decisions on the function of
each word in a sentence. This method
is very fast but has the disadvantage
that, being statistical, mistakes are
made sometimes and for this reason
the translation must be checked by a
post-editor who corrects such errors
(they are usually obvious). The
error rate is low enough, about 3.5%,
to make this possible for the type
of text which we have tested so far.

Our difficulties are not at an
end, however, even when the parsing
problem is disposed of. Every language
has an abundance of "idioms 11 , i . e. ,
phrases which do not literally mean
what they say. As an example consider
the English saying 11 like it or lump
it 11 which nearly brought Prime Minister
Trudeau to grief. Similarly French has
many idiomatic phrases which cannot be
rendered word for word into English,
for example, 11 boite de nuit 11 , which is
the French version of 11 night club 11 and
which translates literally as 11 box of
night 11 •
This problem can be overcome by
storing a dictionary of idioms and
making the program locate any which
may occur in a sentence before translating it. In the program developed at
the University of Saskatchewan we have
a very efficient routine for accomplishing this.
A final and still unsolved difficulty
must be mentioned. In the sentence:
I~ is within the province of the prov~nce to deal with education. province
is used twice as a noun, but requires
two different translations in French.
This is a problem in semantics (i.e.
meaning) and no one as yet has found a
practical way of solving it. The solution adopted so far is to print both
possible translations and leave it to
the post-editor to decide.
Sti11 more intractable are the
problems of choosing the 11 best 11 French
equivalent where more than one exist
for a particular word in a particular
sense. This involves considerations of
11
style 11 and as yet we have no idea how
to make a computer make such choices.
Indeed human translators will sometimes
disagree on them so perhaps it is too
much to expect a mere machine to
succeed!
England and America are two countries
separated by the same language.
-G.9.S.

63

�BLACK AND

WHITE

HOLES

By J. S. Griffith

Now that black and white holes
have become both respectable objects of scientific investigation,
what are their accepted properties?
Black holes appear to be capable
of having a wide variety of sizes
ranging from one hundred thousandth
of a gram (l) to solar sized objects
and up to 10 10 solar masses (in galactic nuclei i) (2) . They result
from the complete gravitational
collapse of objects. Space and time
are so strongly curved that no radiation can escape from the object
into our Universe, nothing material
can escape, and any attempt to explore the black hole by the physical
introduction of a space probe would
result in the destruction of the
probe. The only characteristics of
the probe that would still exist are
its mass, electric charge, and linear
and angular momentum. These three
quantities are the only characteristics of the hole that may· be measured
by their effect on the orbits of both
charged and uncharged objects (from
normal stars to space probes) which
pass near the black hole or orbit
around it.
The appearance of a black hole
depends upon the location and motion
of the observer. If a spaceship was
fortunate (?) enough to be present
during a collapse and the astronauts
decided to follow the collapsing
matter down into the black hole,
they would find the matter being
crushed to increasingly higher densities, and the ship (and the astronauts themselves) torn apart by increasing tidal forces. No form of
engine, rocket or nuclear powered,
would be sufficient to save them
from their fate, once the ship had
crossed a certain critical position
(the 1 horizon 1 ) . The ultimate collapse wi11 occur a finite time after
the passage of the surface, and is
inescapable.

The interchangeability of space
and time in the black hole leads to
an inevitable passage to the centre
of the hole as time increases. As
time advances, all objects within
the horizon move towards the centre.
Should the astronauts decide on a
safer course of action and watch the
collapse from a great distance, they
will find all signals and information
from the later phases of collapse denied to them. These signals are caught
up in the collapse of space-time and
can never escape into the surrounding
universe.
However, during the formation of
a black hole, pulses and trains of
gravitational radiation will be given
out. Matter falling into a black hole
will be compressed and heated to about
10 11 °K as it is funnelled into the
hole, and X-ray and Y-ray radiation
may be observed. Jets and similar
activity produced in the ergosphere
of rotating black holes may be observed.
The ergosphere. This is the region
between the surface of infinite redshift and the horizon.
If a spaceship ejects an escape
capsule in this region, with the
ship itself being caught up into the
black hole, the capsule can escape
(as it has more energy than the original spaceship) (4). There is no way
for a spaceship to remain at rest in
the ergosphere, however it fires its
motors!
As the core of a late giant star
co11apses in volume by a factor of
one million, the material of the core
starts moving in slowly. The rate of
collapse quickly increases, with the
inner part of the core soon so contracted that it draws the core down
much faster than the surrounding envelope. If the mass and the velocity
of implosion are large enough, complete collapse ensues with the production of a black hole. However, in
64

�other conditions the collapse is suddenly halted, releasing a great deal
of kinetic energy of motion into heat
energy - like thousands of nuclear
explosions. The consequent high temperatures 1ead to high pressures and
consequent reversal of the implosion,
propelling the envelope into space
with the emission of cosmic rays and
an expanding cloud of ions. A star of
the order of the solar mass was responsible for what we observe as the
Crab Nebula.
If the star were rotating (as most
stars are) and had a magnetic field,
the winding up of magnetic lines of
force (like cotton on a reel) leads
to an elongation in the direction of
the axis of rotation (3) and the
emission of jets of matter from the
poles. Added interest to the computation of such a situation arises when
we have to take into account nuclear
reactions - a problem that is, as
yet, unsolved.
The collapse into a black hole is
preceded by th~ star passing quickly
through the neutron-star phase. Other
names for black hole are 'continuing
collapse' and 1 frozen star•. Seen by
the distant (wiser) spaceship crew,
the collapse will never be complete
(the radius diminishes exponentially
with time). However, the probe moving
with the matter (if it somehow can
survive the process, which seems
highly improbable) will see the dimensions become indefinitely small
after a short period of time.
The system will have a completely
black appearance to the external
spaceship. No light escapes, and
laser beams shot at it disappear as
they fall in. An adventuresome crew
member shot into the hole would disappear to his fellows. Manoeuvering
close to the hole and inserting a
long stick or probe would lead to
fragmentation of the stick by tidal
forces and the disappearance of the
broken pieces.
Before the critical Schwarzschild
radius is reached, light emitted

from a specific cone can escape. As
the Schwarzschild radius is approached the core becomes smaller, with
ultimately (once the critical radius
is passed) the 1 ight being perpetually
caught by the collapsing geometry of
space-time around the material in the
hole.
Should the external spaceship venture within the critical radius, it
can never escape, and is forced towards the centre of the hole. No
matter what sort of material takes
part in the collapse, the characteristics of the black hole are the same,
apart from the mass, charge and angular momentum. "A black hole has no
hair}' (2).
How can black holes be detected?

Their size is of the order of 15 kilometers, so direct visual observation
is out of the question. A companion
'normal I star may be observed orbiting around a black hole. Material from
the companion may be drawn into the
hole and disappear. Black holes may
exist within stars (and even in the
Sun~) (1). A black hole moving through
an interstellar cloud may be observed
as it sucks up material.
The i n fl ow of mate ri a 1 wi l l 1ea d
to emission in the X-ray region or in
the Y-ray region (5). Orbiting teiescopes may give observations of such
events. Weber's observations of gravitational waves may indicate a
stellar collapse rate in the nucleus
of the Galaxy of over one a day (l).
In this reference is discussed low
mass objects that have gravitationally
collapsed, which may account for the
low value of the density of the Universe, and indeed they may already
have been observed as unidentified
tracks on bubble chamber photographs.
If, as is suggested in Ref. (1), the
Sun has a central hole of mass 10 17
gm, radius 10- 11 cm, then in
10,000,000 years the Sun will be
totally absorbed, giving first pulsar-quake-like phenomena followed by
rapid collapse with the emission possibly of gravitational waves. This

65

�theory indicates that 1 ife on the
Earth is 1 imited, instead of having
billions of years to go, we have
only millions. Even then, if we
take man to have been 1 civilized 1
for ten thousand years, we are
still in the first one thousandth
part of our possible evolutionary
development. We may compare our
present state of development to
a twenty day old baby, who can at
least expect to survive to the age
of fifty years. Certainly the human race has far to go, and much
time for refinement of our present
culture. Science fiction writers
have a great range of time to
deal with, and we can ~nly hope
that human nature will change, so
that eventually we are much more
civilized. Perhaps we have already
been examined by galactic civilization, classified as in the preplaypen stage, and left to our
childish devices until we are
worthy, in our adulthood of joining a galactic federation!
R.M. Hjellming (National Radio
Astronomy Observatory, Green Bank,
W. Va.) has propounded the theory
that black holes must have their
opposites - white holes.
Theories about pairs of complementary opposites are relatively
common (matter and antimatter,
electrons and positrons, etc.).
Just as black holes take matter
out of our universe (the ultimate
in garbage disposal?), white holes
are places where material enters
our university. Maybe all material
that leaves by the black hole route
returns by white holes, having been
purified 1 by intense heat and pressure, or we may be exchanging material with one or more other
universes, with each maintained
in a steady state, losing just
as much as one gains.
The white hole hypothesis is
claimed to be an explanation for
the energy source of quasars and
galactic nucleii, for even thermonuclear reactions are insuffi-

cient to provide the power. If
energy and matter are pouring in
from another universe, then sufficient energy may be available.
The mathematical and physical
details are not yet fully worked
out, but there are tempting extrapolations and questions.
1) Can some way be found of passing
information from one universe to
another?
2) Does another, much more advanced,
universe use ours as a 'garbage disposal unit' - is energy strictly
conserved, so that they get back
purified versions of what they disposed of?
3) Could one wage war, one universe
against another, by putting more and
more material into black holes, in
the hope that the other universes
are inflicted by a raise in radiation? (What time lag is there between
disappearance in one black hole and
appearance in a white hole?)
4) Is life in our universe bred from
some incompletely processed garbage
from another universe - a 'black
hole' that somehow was not functioning correctly?
5) What relationship is there between
the distribution of black holes in
one universe and white holes in
another?
6) Galactic nucleii appear to be
long lived objects - is this consistent with a corresponding long
lived black hole?

There is a great deal more work
to be done before these objects are
fully explained and the white hole/
dual universe theory put on a firm
foundation.
REFERENCES
(1) Hawking, S.,

Gravitational ly
collapsed objects of very low mass',
Mon. Not. Roy. Ast. Soc. 152, 75
(1971).
(2) Ruffini, R. and Wheeler, J.A.,
'Introducing the black hole', Physics
Today, January 1971, p. 30.
66

1

�(3) Leblanc, J.M. and Wilson, J.R.,
Lawrence Radiation Laboratory publ ication UCRL - 71873 (1969).
(4) Penrose, R., Rivista del Nuovo
Cimento, numero speciale 252 (1969).
(5) Zel 1 dovich, Ya. B. and Novitrov
'
I .D., Sov. Phys. - Dokl 2_, 246 (1964).

tween any two of the points is groatl'r
than or equal to d?"

The value of r depends on the size
of the needle point and d depends on
the prescribed size of the anqels.
When dis small relative tor-the
answer to the above question is approximately one-half the answer to
t~e same question on a sphere, so,
g1ve or take half an angel, we will
consider the question on a sphere.
POLLEN GRAINS
The Dutch botanist P.M.L. Tammes
in 1930 (3) interpreted the placing
of such points on a sphere as an arran~ement of orifices on a pollen
gra1n. He wanted to explain the distribution on spherical pollen grains
of the orifices {hereafter called
exit places) at which a pollen tube
can emerge in the process of fertilization. He observed, for example,
that there are frequently 3,4 6 8 or
12 exit places, while 7,9,10 ~r~ quite
rare and 5 and 11 exit places almost
never occur. Further, the same plant
may produce pollen grains with different numbers of exit places. However, each pollen tube requires a
certain amount of space, so there is
a number d, which turns out to be
genetically invariant, such that the
distance between any two exit places
is at least a.
Nature 1 s packing problem is placing
as many exit places as possible on a
pollen grain, subject to the distance
restriction, in order to maximize the
chances of fertilization.
MISANTHROPES
For another view of the problem of
the pollen grain or of the angels consider n misanthropic individuals. Each
so hates his fellow misanthropes that
he wants to get as far away from them
as possible. The misanthropes want to
maximize the minimum distance between
any two of them, while it is important
for the pollen grain to maximize the
number of exit places for a given
minimum distance. However, a complete

I/A\I IPI/A\ICl~lnl~IGI IPlil®lilllEl~I
by

J. H. M. Whitfield*

How should trees in an orchard be
arranged, how should mills in an urban
area be situated, boxes in a warehouse
tables in a night club, containerized'
cargo in the hold of a ship, etc.?
These are all types of packing problems. In this note we briefly consider
a particular problem: the packing of
a.number.of equal nonoverlapping
circles 1n a sphere.
The influence on the present note
of the expository article {l) by
H.S.M. Coxeter and the popular presentation {2) by Victor Klee is
gratefully acknowledged.
ANGELS
One of the earliest known packing
problems of the type we wish to consider is the medieval theological
prob 1em: "How many angels can dance
on the point of a needle?"

To formulate the problem mathematically, we assume that the point
is a hemisphere, the angels are all
of the same size and they dance by
spinning with their wings tightly
folded. {A slightly weaker set of
restrictions would allow the size
of the angels to vary but restrict
their dancing within a circle of
fixed radius. At least this would
allow the smaller angels more freedom in their dance!) We arrive at
the mathematical problem "What is
the maximum number of points that
can be placed on a hemisphere of
radius r so that the distance be-

61

�solution for one problem yields a
complete solution to the other.
The solution for n misanthropes
are reported by Coxeter for n between 2 and 13 and n = 24. Some of
the solutions are easily seen. Two
misanthropes should live at opposite
poles and three at the vertices of
an equilateral triangle inscribed
in a great circle. Given four miserable persons, they should locate
themselves at the vertices of a
regular tetrahedron inscribed in
the sphere.
Fig. l shows the best arrangement of 5 and 6 misanthropes. You
will observe that the solution for
5 is not unique as the three on the
equator can be rearranged as long
as the distance between any two of
them is at least¼ of the circumference. Also, you will note that
the minimum distance is the same
for 5 and 6. This explains Tammes 1
observation that five exit places
on a pollen grain almost never occur, for, if the grain is large
enough to accommodate five, it
can also accommodate six. Nature
makes the best choice.
A similar situation obtains in
the case of 11 and 12 misanthropes.
For n = 12, they should dwell at
the vertices of a regular icosahedron inscribed in the sphere and
for 11, just remove one of the
vertices. Hence Tammes 1 observation that 11 exit places on a
pollen grain occur infrequently.
The other known solutions can
be found in the indicated reference. The reader may wish to find
the solution for 8 misanthropes,
which is not difficult but mildly
surprising.
We have here an easily stated
and easily visualized geometric
problem which, generally speaking,
is unsolved! Where should sixteen
or twenty miserable people live?

Figure I.

Discussion of Shapes 11 presented to the
High School Mathematics Teachers on
their Professional Development Day,
October 1972.

( 1) Coxete r, H. S. M. , 11 The prob 1em of
packing a number of equal nonoverlapping circles on a sphere 11 , Trans. New
York Acad. Sci. (2) 24 (1962), 320-31.
(2) Klee, Victor, 11 Shapes of the
Future", Am. Scientist .22_, 84-91 (1971).
(3) Tammes, P.M.L.,

0n the origin of
the number and arrangement of the
plates of exit on the surface of pollen
grains 11 , Rec. Trav. Bot. Neerl. 27,
1-84 (1930).
-

References

·kThis note is extracted from a talk
entitled "Convexity: An Elementary
68

11

�THE SCIENTIFIC APPROACH TO THE GAME OF BRIDGE
By

Li

r ry Hansen

The game of bridge has developed
into a pastime enjoyed by a great many
people around the world. People p]ay
the game for many reasons but in this
article I would 1 ike to concentrate on
the aspects of the game that appeal to
people with scientific minds. For the
sake of brevity, I will assume that
the reader has at least a knowledge of
the basic rules of bridge. However I
will briefly describe the three phases
of the game in order to bring out some
important points that will have a bearing on the remainder of the article.

to arrive at a contract better than
the par contract. Since an above
par contract for one side is a below
par contract for the other side the
conclusion is that the result of
perfect bidding would be that every
hand would be played at the par contract. However since it is illegal
for a player to look at any cards
except his own during the bidding and
since there are not enough possible
bidding sequences to describe the
other three hands completely it is
impossib1e for a player to always
know what the par contract is on the
various deals he encounters. In
actual play it is very rare for a
player to know what the par contract
is before the play of the hand begins.
Therefore, we can draw the conclusion
that even if all four participants
co-operated there is no perfect bidding system that will always result
in the par contract being reached.

THE DEAL
The fifty-two cards are shuffled
to produce a random order, then they
are dealt face down to the four players so that each one sees only his
thirteen cards. If we assume for a
moment that each contestant could see
a11 four hands then it would be possible to decide the maximum number of
tricks that each partnership could take
if we assume that the contestants are
capable of perfect play and perfect
defense. From this it is possible to
deduce whether or not the pair that
can take fewer tricks (or the same
number of tricks but in a lower ranking contract) will lose more points
by sacrificing or by letting the
opponents play in their best contract.
The least number of points that this
pair can lose is called the value of
the hand and the contract that can be
played to arrive at this result is
called the par contract. If we consider the game of bridge from a game
theoretic standpoint we see that if
we assign specific values for part
scores and non-vulnerable games each
deal produces a type of two person
game with a unique value and at least
one saddle point. (See Appendix).

THE PLAY
After the cards have been dealt
and the bidding is completed the defender on the declarer's left finds
himself in the position of having to
make the opening lead. The only information that this defender has at
his disposal is a knowledge of his
own thirteen cards and an inferential
knowledge, gained by listening to the
bidding, of the distribution of the
remaining cards. We can see that the
success or failure of many contracts
rests upon the crucial decision of
which card to select for the opening
lead.
Once the opening lead has been
made and the dummy is spread each
player has a knowledge of the location
of at least half of the cards in the
deck. Declarer 1 s responsibility is to
take as many tricks as possible with
his primary aim being to make the contract. On the other hand, the defenders try to take as many tricks as

THE BIDDING
This phase of the game gives each
partnership the opportunity to attempt
69

�possible in order to defeat the contract. The declarer formulates all
the plans for his side, whereas successful defence requires that both
defenders arrive at an accurate
analysis of the situation~ formulate
a successful line of attack and coordinate their efforts to bring about
the desired result. We see then that
no matter how difficult it is to be a
capable declarer it is even more difficult to be successful in defence.
An application of the laws of probability indicates that approximately
25% of the time a bridge p1ayer is
dummy, 25% of the time he is declarer
and 50% of the time he· is a defender.
Consequently, a prerequisite for
achieving success as a bridge partnership is the mastery of the art of
defence.

that have evolved are the natural
approach and the coded or artificial
approach. With the natural approach
when you bid spades you are suggesting a possible final contract in
spades or at least you are showing
high card values in spades. However,
with the coded approach a spade bid
might mean almost anything. To illustrate, an opening bid of two
diamonds, depending on the system
you are playing, might mean (i) a
hand strong enough to make a game in
diamonds, ( i i) a hand containing
eleven to fifteen high card points
and a singleton or void in diamonds
(iii) a hand of slam potential that
is asking for aces (iv) a hand containing four spades and five hearts
and eleven to sixteen high card points.
In tournament bridge the rules make it
mandatory to explain any special understandings that a partnership has
about a particular bid. This ruling
reduces some of the power of coded
systems. Nuisance bids interjected
by the opposition also have a tendency to weaken the power of artificial sequences. Natural systems on
the other hand, do not have the
required precision to explore accurately for slam contracts. The path
that most exp~rts seem to follow is
to play a system that is basically
natural with the addition of certain
artificial bids and sequences.

BIDDING SYSTEMS

Since it is impossible for a partnership to legally gain the necessary
knowledge about the placement of all
fifty-two cards in order to bid with
assurance to the par contract, bidding
systems are constructed on the basis
of the partnership holding of twentysix cards. An experienced player by
looking at his hand and his partner's
can assess approximately how many
tricks the two hands together will
produce in play. This assessment is
based on application of the laws of
probability to the missing cards and
an understanding of how combinations
of cards can be treated to produce
the maximum number of tricks. The
main aim of any bidding system is to
produce a sequence of bids that will
give at least one of the partners a
very clear picture of his partner's
hand so that someone is in the position of being able to decide upon a
sensible final contract. (One problem many players encounter is that of
realizing when they have already bid
up to six spades, for example, that
the most they could possibly make is
five spades).
The two basic approaches to bidding

DEFENCE
While the eventual declarer and
his partner are bidding back and
forth, exchanging information that
will enable them to decide upon a
final contract, the defenders are
listening and thereby gaining the
same information about their opponents' hands. This information is
one of the defenders' most valuable
tools in their attempt to make as
many tricks as possible on a given
hand. A second device used by all
expert defenders is a signalling
code in the play of equivalent cards.
These signals tell each defender

70

�whether or not his partner has an
even or odd number of diamonds,
whether he should play hearts if he
gets on lead and so on. However, just
as the rules of bridge make it mandatory to explain bidding understandings
to your opponents, they also require
that you inform declarer of the meaning of def~nsive card play signals.
Consequently, everything the expert
defender does to improve his lot in
life makes it a little easier for the
expert declarer to play his cards.

and refinement of successful defensive play and in the honing of the
skills required for expert declarer
play. In fact, just as pursuit of
knowledge in any of the sciences can
become a life-long pastime and
pleasure, the game of bridge can
prove to be a scientific ego trip of
virtually limitless horizons.
APPEND IX
The following table displays some
of the possible contracts and the
resulting scores for a typical hand
of bridge. All scores are given
relative to N-S. For example, -80
means that N-S lose 80 points irrespective of which column the -80
appears in. Successful part-score
contracts receive a bonus of 50
points. On this particular hand N-S
are vulnerable and E-W are not. The
saddle point for this hand occurs
when N-S bid and make 2S. If E-W
bid more, they will get doubled and
lose more than 110 points and if N-S
bid less, then E-W can bid 2H and
lose only 100 points if they are
doubled.

DECLARER PLAY
For several years I thought that
it was only necessary to attain one

goal in order to become an expert
declarer. I believed that al 1 one
had to do was to look at the opening
1ead, the dummy and one I s. own hand
and use the laws of probability to
arrive at the most likely distribution of the missing cards in the
opponents' hands and then, use one's
knowledge of card combinations to
arrive at a line of play that mathematically offered the best chance for
success. Being expert in this aspect
of the game will a11ow you to do
reasonably well in most levels of
bridge. However, to reach the pinnacle of expert play one has to be
capable of inferential location of
missing cards as opposed to probability location of missing cards. To
locate cards inferentially one has to
understand the opponents' system of
bidding and defensive play exactly as
well as they do. The next step is to
climb into their minds and decide
which distribution of the outstanding
cards is the one that seems to mesh
with the bids and plays that they did
and didn't make. After this has been
done it is a fairly simple matter to
decide how to play the hand.

N-S CONTRACT

INT
2C
2D
2H
2S
2NT
3C
3D

CONCLUSION

3H

It can be seen that the game of
bridge offers intellectual challenges
in the creation and use of effective
bidding systems in the development

3S

11

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j

j

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1D
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70
70
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100

140
-200

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100
-160

110
90

360

100

300

180

100

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-200

50

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100

300

100
50

300
100

150
100

500
300
500
500
300
700

110

670

-100
-200
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-300
-100

-500
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-800
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150

150
100

200

�ACROSS
1[9,8] Cobras, kraits and rattlers
10[ 7] Atoms in a crystal are
arranged in a window
11[ 7] Curricu1a
12[ 5] Send a payment to reduce
disease symptoms
13[ 5] American vital power
14[ 5] 11 Junior 11 is a detached piece
of plant
15[ 7
Scientists recognize this as
a sound unit
19[ 4] The most frequent state of a
boy
21[ 4] Hot and cold fits this clue
22[ 7] Genus Falco
23[ 6] Relating to either of the
muscular flaps in front of
the teeth

24[ 6] To transfer a liquid, take an

25[ 7
26[ 4]
28[ 4]
30[ 7]
32[ 5]

initial sip - then aspirate on
Shorten a structure to cross a
river
The upper end of a mountain
valley cherishes a desire for
good
One's cards
Puts into symbols for economy
A theatre for musical contests
sounds like a bad state to be in
A short physician

34[ 5]
35[ 5] '
37[ 7] A change of momentum
38[ 7] A dashing large wing covering
39[9,8] The function of ductless
glands

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DOWN
18[ 7 ] Diminishes
20[ 5 ] Watered mohair in an interference pattern
21[ 5 ] A helium nucleus begins an
alphabet
27[ 7 ] A swimming leg
29[ 7] Symbols of medicine
31[ 6 ] A member of the Icteridae
from Baltimore
33[ 5 ] An acid from an unripe apple
34[ 5 ] Strait across which Brunel
built a tubular bridge
35[ 4] A Persian fairy begins to
surround
36[ 4 l A famous account of heroic
proportions

1[17] A rubbery plastic

2[ 7 1 A whole number
3[ 5] Salix viminalis makes baskets

4[ 4] At an end
5[ 6] Norway Lobsters
6[ 4] Where dawn approximately is
7[ 5] Boulder clays or shales found
in stores
8[ 7 ] Charging ready to fire
9 [7,3,7] The theme of Libera 1 Science
courses
15[ 7] Reduce in pressure
16 [ 7 ] 0 1d heat
17[ 7] Thought about with a frown on
eggs

72

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1 [13] Change of structure
6 [ s 1 Wool y an i ma 1s
7[ s ] Foss i 1 res i n
8[ 3 ] Pitch
9 [ 6 ] Me ta 1 27
11 [ 6 ] Purple dye
13 [ 3 l Snake 1i ke fish
14( s ] Mexican aboriginal
16 [ s ] Castrated bull
18[13] Flashes of light

DOWN
1[13] "Kissing disease"

2[ s ] Shinbone
3( 3] One male human
4( 6 ] Smal 1 explosion
5[13] One thing on top of another
6 [ s ] lberi an country
1O[ s ] Bi 1e--secreti ng gland
12 [ 6 ] From the centre
15[ 5] Latin early spring flowers
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SOLUTIONS

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�If you have enjoyed reading Caret, please write to us.
If you have not enjoyed reading Caret, please write to us.
If you would like to contribute an article, please write to us.
If you have any suggestions for improvements, please write to us.

"CARET"

Lakehead University
Thunder Bay, Ontario
P7B

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DISTANCE CHART
RADAR AND RADIO COMMUNICATIONS

,JI \.

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{

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Light, Electricity and Radar Waves travel at
186,282 miles per second. This graph indicates
the time it takes from earth for these waves to
reach points shown.

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PLANETS

TIME
TIME
GALAXIES
LAPSE
LAPSE
MERCURY 4¼ min.
ANDROMEDA
VENUS
2 min. 18 sec.
1,500,000 lgt. yrs.*
MARS
4 min. 21 sec. ALPHA CENTURI
JUPITER 35min. llsec.
4 yrs. 7 mon. 7 days
SATURN 1hr. 11 sec.
URANUS 2 hr. 32 min. OUR SUN 7 min. 59 sec.
NEPTUNE 4 hr. 2 min.
MOON 1.23 sec.
PLUTO
6 hr. 25 min.

MOON

. ·.
.....

: - i.~

. .

.

..

•

•

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*LIGHT YEAR-The speed of light, approx. 186,282
miles per sec., times 60 sec., times 60 min., times
24 hrs., times 365 days.

.

43 1/3 days

MARS

57 2/3 days

MERCURY

831/3 days
6111/3 days

I
I
I
I
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Min. Distance
from Earth
(in m1les1
221,463
26,000,000
34,600,000
50,000,000
367,000,000

SATURN

12411/J days

745,000,000

URANUS

268!1/3 days

1,608,800,000

NEPTUNE

4466

I 2,679,600.000

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Articles on a variety of topics:&#13;
A letter from Mme Jeanne Sauve from the Minister of State Science and Technology to Dr. John Hart from Lakehead University Department of Physics&#13;
Letters to the editor&#13;
Scientific explanations and hypotheses&#13;
Science in everyday thought&#13;
Wisdom in education and jobs by Jim Wheeler&#13;
Basic Air Navigation by Air Vice Marshal Bradshaw&#13;
Constructing a bird observation tower to study ring-billed gulls on Granite Island in Black Bay by John R Butler&#13;
Biologists and biology&#13;
Air and water pollutants&#13;
Nuclear reactors, atomic energy and sources of energy&#13;
Physics and biology&#13;
Future careers and obsolete jobs&#13;
Travels in Mexico&#13;
Science in nursing&#13;
Interview with Lakehead University Chemistry Storekeeper&#13;
Petrology, the study of rocks, thin sections and geology&#13;
Computer translations&#13;
Solar system black and white holes, astronomy&#13;
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LAKEHEAD

UNIVERSITY

SCIENCE REVIEW
VOLUME 1

NUMBER 1

A PUBLICATION OF THE ONLY FACULTY OF SCIENCE THAT TRULY

UNDERSTANDS

NORTHWESTERN

ONTARIO

�Caret

JANUARY 1973

A LAKEHEAD UNIVERSITY SCIENCE REVIEW
incorporating

LAKEHEAD UNIVERSITY MATHEMATICS GAZETTE
CARET (kar'at) n. A sign (" or 11.)
placed below a line to indicate where
something should be inserted.

What is missing? Well - a title, for one thing,
and a magazine without a title is unthinkable!
We, the editors, are not at all sure what you
would like us to do, but we do know one thing there is a disastrous communications gap between
High Schools and Universities: the bridge across
it is missing and we will hope to span the void if
only with a gossamer thread.
Let us know what kind of articles you would
like to see. Write an article yourself and send it
in. Push your science teachers into sending us
stories about their scientific and personal interests,
or write about them yourselves (what an opportunity!). Above all, don't think that what you
have to say will not be of any interest to us: let
us be the judge of that. And, please don't assume
that university scientists are somehow not quite
human; we experience the same emotions of
fear and hope, love and hate as the majority
of human kind .
Oh, about the title. The 1378-page, four
volume Harper Encyclopaedia of Science for
the best title. Why not fill in the form on the
back page and send it to us TODAY?

Naturally, I am still extremely interested in any
publication that may come forth. Would it be
possible to be placed on your mailing list? Once I
get my head above water around here, I'd be glad
to send you an article on teaching Canadian students
some science in a German environment. Let me know
if I can be of some assistance! - E.F. Dojack, Lahr
Senior School, Canadian Forces Base, Europe.
C.F.P.O. 5000. We'll be very pleased to hear from

you from time to time, and we hope you will send
us an article when you have settled down a bit. - Ed.

CONGRATULATIONS!
This is the first edition of the Lakehead University Science Review, "CARET". It was conceived
by the Faculty of Science as a logical extension of
the Lakehead University Mathematics Gazette into
a wider area of subjects. We hope that it will be as
successful as the "Gazette" and create active interest
in the many aspects of Science.
Our editor, Dr. John Hart, deserves our thanks
for the initiative and vigour he has shown in collecting such varied articles from many eminent authors.
We hope that each will contribute again to later
editions.
Good reading to you all.

The encyclopaedia is really worth having.
The views expressed in Caret do not necessarily
reflect the opinions of the Editor, the Faculty or
the University.
Caret is published by the Faculty of Science of
Lakehead University. Thunder Bay "P", Ontario,
Canada.

LETTERS TO THE EDITOR

R. A. Ross,
Dean, Faculty of Science

Dear Professor Hart:
Thank you very much for your recent letter.
May I take this opportunity of conveying my
good wishes for the success of your Journal.
Science is everybody's business.
Kindest regards.

Thank you for your letter of August 15. As
you have probably guessed from my return address,
I am teaching with the Canadian Armed Forces here
in Germany for the next two years. Mr. W.A. (Bill)
Luft has taken over as Head of Science at Lakeview.

Yours sincerely,
Alastair Gillespie, M.P.,
Etobicoke

�A SCIENTIST LOOKS AT SOCIETY
By Andrew D. Booth

terribly practicable solution. Even so, the time
involved is still quite short, about 900 years, in fact.
Yet another solution which has been proposed to
cope with the population increase is to export population to adjacent planets. As things appear at the
present time, the only possible candidate would seem
to be Mars, although, assuming a high degree of technological competence, one might include Venus in the
argument. However, it should be noted that a 1.9%
increase per annum in population involves a doubling
in 37 years for Mars and a very much smaller time
then to cover Venus.

ARE WE HEADING FOR DOOMSDAY?
Thinking and reading members of our community
at the present time are bombarded with information
about "ecological catastrophe". On the other hand,
the voices of industry and government assure us that
many of the warnings of the more frenetic environmentalists are without foundation. It may, therefore,
be interesting to consider the sort of hard information which the scientist can give about problems of
this type, and to do this, 1 shall explain briefly three
approaches to the problem.

593 YEARS TO GO
The first approach is what one might call the
worst case geometric one. Here, one assumes that
the surface of the earth is drained of water in some
way which is yet to be discovered, that humanity
goes on increasing in numbers at its present rate
of approximately 1.9% per annum, and that the
limit is attained when the surface of the earth is
covered solidly with people standing shoulder to
shoulder and back to back. This situation is covered by the simple compound interest law learned at
school and by the formula known to the Greeks
for the area of spherical surfaces. 1nserting the
relative parameters, it turns out that at this rate
of population increase, the earth's surface will be
covered in only 593 years from now. Remembering that this is just about the period since the
renaissance, and that no assumptions have been
made about the way in which society operates, the
way in which wars may reduce population and so
on, this is a far from reassuring figure.
The second argument which can be used is what
one might describe as the thermodynamic one. in
this, we assume that the surface of the earth is
covered not only with a single layer but with people stacked shoulder to shou Ider, back to back, and
feet to head. In other words, they are accommodated
in multi-storey skyscrapers. The problem involved
here is one of great interest to the physicist since,
in the last analysis, it resolves itself into one of
energy dissipation. When the population of the
world reaches about 10 17 people, the skin temperature of the outside of the structure required to
dissipate the human energy into space, would have
to run at a temperature of something like 5,000° C
which is precisely the temperature of the outer layers
of the sun. One need hardly say that this is not a

ZERO POPULATION GROWTH NOW
Finally, one can consider the so-called M. I. T.
model. Th is relates the future to the socio-economic variables of the present. Such models are
extremely complex and their study has only been
possible since the advent of large electronic computers.
Whilst some of the details of the M. I. T. model are
open to question, the main structure is sound. The
model shows that, unless radical steps are taken to
ensure zero population growth now, only about 100
years remain until the world population is reduced to
about¼ of its present value by an eco-catastrophe.
This neglects the very real possibility of a major war
and points up the urgent need for an in-depth application of the hard physical and mathematical sciences
to the soft area of sociology.

t

2

�SCIENCE IN SOCIETY
By C. K. Mclellan

THE ROLE OF SCIENTISTS

Information must be presented so that it is easily
understood by non-scientists. It does no good to
attempt to dazzle people with unintelligible jargon.
[ Amen! - Ed J
The second approach lies in more direct action
on several political levels. The scientist should be
involved in political and community action groups
where he has direct contact with other citizens.
As the traditional training grounds for highly
professional scientists, universities should have
an important part in developing a social responsibility for science. The two dominant functions
of universities have always been education and
research and the current problem is how best to
execute these functions in scientific fields for the
benefit of society. The system provides some students with a broad general background of knowledge, but often with few specific work skills. Such
a graduate frequently fails to impress an industrial
employer, who notes with dismay the considerable
practical training this person will require in order to
become a productive employee. On the other hand,
industries must bear in mind that in the long run,
it is more to their advantage to have employees
whose wide background knowledge allows them to
be flexible in their work, than to have only narrow
specialists.

Of late, people have begun to consider more
carefully the role of science in society. This unexpected turn of events has caught many scientists
unprepared, for they grew accustomed to the attitudes prevailing in our technological society in the
1950's - an attitude which seemed almost to hold
science and its devotees in awe for their considerable
contributions to recent world developments.

SCIENCE IS A TOOL
Prior to this century, the dominant role of science
was the discovery of new knowledge. Beginning early
in the 1900's, however, the trend to urbanization and
industrialization of the western world translated much
of this knowledge into new products and services. As
a corollary, the role of science was altered to emphasize
these goals of the industrial society. The transformation was highly successful. Science became an essential
tool in our production - and consumption-oriented
economy. The role of science assumed two important
aspects: the continuation of this line of economic and
social development through product improvement;
and, the evaluation of new ideas. Science's "experts"
became highly respected as important parts of a system
which provided the good life for many. This, in turn,
produced in our educational systems a great emphasis
on training more scientists in the "practical" fields
where their skills could be applied to immediate
problems.
The economic system which uses technology, and
the people who welcome its benefits, must share some
responsibility for the problems it has created: scientists
must accept a large portion of the responsibility, but
it seems that scientists have often divorced their
role as scientists from their role as citizens.

CANADIAN BASIC RESEARCH
IN DILEMMA
The research function of a university arises quite
naturally. University researchers seek approval from
their peer group - other researchers. Hence in
order to be respected, a university must produce
high-quality research results through its graduate
school. The amount of research done this way is
valuable, particularly in Canada. In our so-called
branch plant economy, industries tend to emphasize
research in the narrow areas of product and process
improvement, and the "basic" research for which
there may be no immediate application is left to
the foreign parent company. If a significant amount
of basic research is to be done in Canada it appears
that universities must do much of it.
The dilemma arises in the choice of topics for
investigation, for the benefits of research should
accrue both to the scientific community and to the
larger community of Canadian people. This implies
that a significant proportion of such work must be

FREEDOM AND RESPONSIBILITY
A scientist must be given the freedom to speak
out on matters touching his field of expertise and
he must accept the responsibility. He should shun
the pose of the expert and should function, rather,
as a "resource person" whose knowledge should be
shared by others, for it is the entire society which
must evaluate the information and choose courses
of action.
A first approach to this goal may be made
through the professional associations of scientists.

3

�at the beginning of this year. Gradually it solidified;
mountains were formed and eroded and formed again;
the ocean basins and continents began to take shape.
For perhaps half of this year the earth was barren
and lifeless. Then at some indeterminate point in
August, life in the form of single-celled organisms
appeared in the seas. It was not until late November
that Iife forms emerged from the waters and were
able to survive on land. The age of the great dinosaurs was as recent as mid-December. And modern
man did not evolve until the last few minutes of
our year.
Now the question must arise as to what evidence
there is to substantiate these divisions of time. Fossils of course give us the clues to the last 600 million
years, but what about the more than half of earth's
history when there was no life present or organisms
were soft-bodied and could not leave fossil evidence?
By what means do we divide this immense span of
time into more concise parts?
The answer to this question lies in the field of
geochronology. Using radioactive elements and their
known rate of decay into stable end products, it is
possible to calculate the time required to produce a
certain quantity of the stable substance and hence the
age of the original radioactive element.
Several methods of radioactive dating are employed.
The uranium-lead method can give us the absolute age
of a rock but is useful only when there are lead-bearing minerals present. Far. more abundant are potassiumbearing minerals, and for dating these we use the potassium-argon "clock". However this method does not
give us the absolute age of a rock, rather the date of
the most recent orogenic (mountain-building) event to
which it was subjected.
For example, prior to the application of this method of geological dating, much of the Canadian Shield
was simply regarded as Precambrian (older than 600
million years or before November in our analogous
year). Now we know more specifically that the rocks
of the eastern Shield underwent their most recent
metamorphic event about one billion years ago, whereas those of the western regions were last metamorphosed
about 2.5 billion years ago. Thus we can now subdivide the Precambrian of Canada into periods of
orogeny.
By such methods of dating we not only learn
the ages of rocks and events, but can divide huge
eras of time such as the Precambrian into more specific and meaningful periods, making geological time
and evolution that much easier to comprehend.

tailored to the foreseeable needs of our nation.
Considerable emphasis should be placed on these
needs in choosing research topics, and as responsible citizens, scientists should be doing this themselves. The abdication of such responsibility invites
forced direction of research from the governments
which supply a significant portion of funding for
research.
University education should be broad enough
to create a search for alternate approaches to the
solution of socio-technogical problems. For example;
in the problem of energy shortages currently plaguing
parts of North America, the conventional solution is
to seek technical means of meeting the increased
demand for energy. The success of such solutions
has led producers to invite increased demand which
in turn raises consumption. It would be better
to find a way of cutting back on the rate of increase
in demand for energy.

SCIENTISTS ARE CITIZENS
Alternate approaches to large problems often
range beyond the fields of expertise of the specialist. No grouping of experts alone can make the
decisions, for the implications may be so broad
that only society as a whole can decide. That may
well be where the major role for science lies in the
future - not in product development and production,
but as an information resource for a society which
we can but hope will be pursuaded to develop
rationally. The relative importance of science will
be diminished as scientists de-emphasize their roles
as experts in favour of their roles as citizens. t

GEOLOGICAL TIME
By: M. Kehlenbeck
MAN HAS LIVED FOR A FEW MINUTES
Geological time spans are among the most difficult concepts to comprehend. It is common for us
to think in terms of years, generations, and centuries.
However beyond this, time becomes, for most of us,
merely a number of many zeros without any real
meaning. Yet the geologist speaks constantly in
these terms.
At present we believe the age of the earth to be
about 4.5 billion years and the existence of life on
earth to be of approximately 2 billion years duration. Do these figures really signify anything to you?
Perhaps an analogy can serve to make these time
spans more meaningful.
Let us use one of our years to represent the
entire history of earth. Our planet then was forming

t

4

�SO YOU WANT TO BE AN ATHLETE?
By

J.

Widdop

A KNOWLEDGE OF SCIENCE MIGHT HELP!

of the biceps and brach ial is and the resistance being
the forearm itself whether or not a weight is being
held in the hand. Normally, when considering levers
the force is assumed to be acting at right-angles but
with muscle action this is rarely observed. Using the

It is difficult for many people to accept or even
recognize the relationship which exists between
Mathematics and Athletics. The purpose of this
article is to indicate a few of the various aspects of
that relationship.
Many students who excel in mathematics are
excellent athletes, a well-known example being Frank
Ryan who was quarterback for the Cleveland Browns
and has a Ph.D. in mathematics.

"ACTION-

AND REACTION-

APPLICATION OF SCIENTIFIC PRINCIPLES

Three fairly simple formulae are shown below.
See if you can identify them:
a}
_____½
2
2
R+ R
= v sin 8 cos 8 + V cos 9 v sin 2 9 + 2gh
2

.. .
••
..

g

_______½

b}
R +R +R =
1 2 3

•

v2sin8cos8+V

•

•

• •

2
cos8V sin 2 0+2g (h-Csin8)

fl

•

,,

,.
.J ••

.

14.·
ARE EQUAL

9 + c sin a+ c cos 8

c}

I am certain (?) that you will recognize that a} and
b) are derived from the basic laws governing the path
of a projectile which describes a parabola and show the
formulae for the flight of a shot and the distance covered by a long jumper respectively. c) may be used to
calculate how much further a fast ball may be hit than
a slow ball, assuming all other pertinent data are equal
(U 1 = velocity of ball before meeting bat}.
These three examples constitute only a sample of
the plethora of similar formulae which are applied
everyday - whether by chance or design - in the
realms of physical activity.

AND OPP OSI TE ! "

flexing of the forearm again as an example the usual
formula needs to be modified. Let us. suppose we
are holding a 5 lb. weight in the hand with the forearm fully extended and wish to know what force
need be exerted to start the flexion of the forearm.
We may assume that the weight arm (from weight the
force point) is 12" and that the force arm (muscle
insertion to fulcrum - elbow point) is 2". Normally
the formula would read:

THE BODY IS A MACHINE

The human body contains many examples of levers
with the bone itself constituting the rigid bar, the
joint being the fulcrum and the contracting muscle the
force. Most body movements are produced through
third-class levers where the force point lies between the
fulcrum and the resistance point. Examples are when
one flexes the forearm with the elbow acting as the
fulcrum, the force being applied at the insertion point

Force x Force Arm
F x

5

= Weight

2

5

F

2

x Weight Arm
or in our case
X

12

60

30 lbs.

�The Y component of R creates Iift while the
X component has a retarding effect and is called
drag.
Most coaches encourage their charges to kick or throw
at a lower angle than usual into a head wind or higher
with a tail wind. The Russian discus throwers are informed of the precise wind conditions prior to throwing and adjust the angle of release accordingly, which
may vary from as low as 22° to above the "ideal" 45°.
As a matter of interest the best results were obtained
with the discus inclined at 35° and a head wind not
exceeding 14 m.p.h.
Spin or gyration is also applied in many sports
and has either a stablizing effect that holds an object
on course, or resists a ohange in the direction of the
axis of the object. If the spin on a football is too
little, the ball will float or travel end over end, while
too much spin will tend to cause the ball to swerve
from its intended path. All baseball pitchers know
that a spinning ball will tend to move in the direction in which it is spinning; a top spin will cause the
ball to drop while a ball spinning counterclockwise
(viewed from above) will curve away to the pitcher's
left. Th is is caused by the increased air resistance
met by the ball on the side which is spinning into
the created head wind. In such games as basketball,
tennis, table-tennis, handball, cricket and billiards,
spin is used to change the direction of the ball by use of the relevant surface area rather than through the air, although certain top class bowlers in
cricket are capable of causing the ball to curve
through the air one way and then - upon striking
the ground - spin back sharply in the opposite
direction. This would be one example of applying
both air resistance and gyration .effects, while a
tennis serve could be another.

However, the applied force in this case is not at
right angles but at an angle of approximately 5°
with the lever. Therefore a more realistic calculation of the force exerted by the biceps would, in
our example, be
F = 30
sin 5°

30
.0872

344 lbs.

If we started at 30° angle the force required would
be:

F = 30
.5

=

60 lbs.

It can be seen that to exert great force the force
arm should be as long as possible while for greater
speed the force arm should be relatively short. In
the movement of body parts we have no real control
over these factors as the muscle attachments which
are the source of the exerted force are fixed. Wrestling however shows how the lever principle can be
used outside the body. To prevent an opponent
from turning by holding his arm on the mat it will
be most effective to grasp the arm as close to the
hand as possible with the arm fully extended at
right angles to the body. Th is guarantees the greatest moment of force and the greatest mechanical
advantage. Conversely if one wishes to turn an
opponent quickly then a short force arm is required,
an example being the use of a half-nelson where the
force is applied at the shoulder.
Kinesiology (the science of movement) helps the
student - athlete to better understand the scientific principles which will enable him to train and
perform at a higher level than before. These same
principles can then be passed on to his own students when he becomes a qualified teacher/coach.

CROSSING THE BAR
The body's centre of gravity is considered in

many sports activities: it can be located at about
the height of the hips midway between the front and
back of an individual who is standing erect or lying
flat with arms at the side. If the attitude of the
body or parts is changed then the c. of g. is changed.
It is possible for the c. of g. to be located outside
the body when performing such activities as vaulting
or somersaults in gymnastics or diving. The modern
styles of the High Jump have evolved because of a
better knowledge and understanding of kinesiological
principles. Research has shown that in the vertical
jump some of the world's greatest jumpers - with
their arms at their sides - have been able to raise
their c. of g. only about two feet. Th is emphasizes
the necessity of the application of sound mechanics
principles and the perfecting of jumping techniques
to achieve heights that exceed seven feet. If we take

ALLOW FOR THE WIND
Aerodynamics play a major role in such activ-

ities as the discus and in the kicking or throwing of
a football. The equation
R
CPSV 2
2
expresses the reaction resulting from the diversion
of the air stream about a moving airborne body.
R
the resulting reaction.
C = a numerical non-dimensional coefficient
dependent upon the shape of the object and
its attitude to the air stream.
P = air pressure (15 lb./sq. in. at sea level).
S = the active surface area of the object over which
the air stream flows.
V = the velocity of the air stream with respect to
the object.
6

�pf a 100 yard sprinter, or running on a sharply

a pole about 6 feet long and hold it vertically then
let it drop so that it bounces straight back up, it
will probably bounce only a few inches from the
ground. If we throw it down it will bounce considerably higher.
Let us repeat this experiment but, at
the high point of the bounce, grab the pole at its
mid-point (c. of g.) and turn it horizontally so that
it is now parallel to the floor and is now four to
five feet from the ground. Here we have indicated
(very crudely) the essential differences between the
Scissors style of high jumping and the lay-out styles
currently used. In the Scissors style the jumper's
c. of g. passes over the bar and is quite a considerable height above the bar because the jumper is
almost in a sitting position at the peak of the jump.
If, however, we lay-out as we cross the bar our
c. of g. still passes above the bar but is much closer
to it. In essence, for the same amount of force
and energy expended, we should achieve a greater
height. In the Western Roll, however, the whole
of the body is - at some point - lying on its side
above the bar. If we go a step further and use the
Straddle style, or "flop" popularized by Fosbury
or Debbie Brill we find that the body rotates around
the bar and at no time are all parts of the body
above the bar. Th is then gives the effect of the
c. of g. passing under the bar thus again giving the
capacity for achieving even greater heights.
Other mechanics included in the well-executed
high jump include:
a) a vigorous stamping of the take-off foot hard
against the ground (Newton's third law)
and
b) the forceful swinging up of the free leg and the
arms to increase the lifting force of the body,
showing the principle of transfer of momentum
from part to whole. This principle can easily be
experienced by trying to do a sit up from a back
lying position, i) first with the arms to the side
then, ii) starting with the arms stretched overhead with the backs of the hands touching the
floor and initiating the movement by a vigorous
upward and forward swing of the arms.

banked indoor track, or a basketball player dribbling down court.
The second application is deduced from the
normal principles of friction. Since the friciton
is the same whether the force which presses the
two surfaces together is at one point or spread
over a wide area it logically follows that if the
total force is spread over a wide area then the
force will not be as great at any one point as
it would if it were concentrated at that particular
point or a small area. Again, some of the problems can be alleviated by articial means and we
find equipment constructed to "spread" the force
of a blow. A catcher's mitt - compared with
other player's gloves - is an example of the recognition of this principle. The "armour" worn by
footballers and hockey players is designed to spread
the force of an impact and also to transfer it from
one part of the body to another. Shoulder pads
are based on the cantilever principle with the intention of transferring the impact from the point
of the shoulder to the flat less vulnerable surface
areas. Over-weight boxing gloves used in training
are not - as many people think - a training device
to make the boxer's arms stronger or so the regular
gloves will feel lighter in real combat but are designed to spread the force of a punch over a wider area
thus lessening the chances of injury during sessions,
a fact for which managers (and sparring partners), no
doubt, are truly grateful!
The same fundamental principles may be applied
to the body itself without artificial aids. Learning
to land correctly in Judo after being thrown is a
good example of how to protect a particular part
of the body from injury by absorbing the effects
of the impact over as wide an area as possible. The
fundamental movements of a layout should be employed when sliding into a base when as much as
possible of the leg, hip and back should hit the
ground simultaneously.
POWER IS IMPORTANT
In 1932 McCloy pointed out that the power
used for performance varies with the cube of the
velocity. Using the formula

FRICTION HELPS OR HINDERS
Principles of friction are put to good use in
athletics in two different ways. The first and
more obvious application concerns the problem of
slipping and how to provide a higher coefficient
of friction. Sometimes this is achieved by artificial means such as spiked shoes or specially located
floor surfaces. Adverse conditions can, however,
also be overcome by a sound knowledge of equilibrium and the use of appropriate body lean, examples of which could be the angle of inclination

P = FY when

P

power
F = force in lbs. in the direction
of the motion
V
velocity of the body in the
direction of the force
McCloy demonstrated the difference in power
units used in running the mile at a constant rate of
speed and varying rates of speed. Using hypothetical

7

�the distance in four minutes. Great runners such
as Bannister and Ryun utilized pacing methods to
achieve their great performances and always had
some energy left for that last 100 yards dash to
the line.

times and rates of speeds, two tables were produced
showing the amount of energy expended when
a) a constant rate of speed was maintained and,
b) where a varying pace was used.
In each case the distance was covered in four minutes 24 seconds. The power was found by calculating the cube of the velocity for each 220 yards.

LIGHT LINEMEN CAN BE EFFECTIVE
There are numerous other examples that could
be cited where the knowledge and application of
scientific principles play a vital role. Among them
are the popular circuit training programmes where
an athlete performs to his maximum. He then prepares a training "Circuit" of several activities, each
one calculated from his maximum performance in
each activity, the whole circuit to be achieved within a certain time limit. He can then make the circuit progressively more -demanding by -gradually ln~
creasing the number of repetitions of each activity,
or by cutting down the time factor for the full circuit. Periodically he will re-test himself to determine a new training circuit based upon his improved
maximum level.
The famous "Crimson Tide" football team of the
University of Alabama are noted for usually having
a smaller line than the teams against which they play.
They counter this by training their players to get off
their marks more quickly than their opponents and
- where possible - to hit them at an angle.
Work it out. If you are a lineman in football and
weigh 175 lbs. while your immediate opponent
weighs 200 lbs., how much faster must you be moving - if you meet head-on - to be able to hold him
for those vital split seconds after the ball is snapped?
At what angle should you hit him to best deflect his
forward progress. Theoretical? Perhaps, why not
try it out?
Whether we are counting the number of push-ups
a student can perform, keeping the statistics of a
game, or utilizing extremely sophisticated analytical
techniques in research or coaching, the importance
of the relationship between the sciences in general
(and mathematics in particular) and athletics cannot
be too strongly stressed.
May the "jocks" and the "egg-heads" long continue and expand their joint ventures. Each group
has much to offer the other.

TABLE BASED ON CONSTANT RATE
Time for
220 yards
1

2
3
4
5

6
7

8

33
33
33
33
33
33
33
33
264 secs.

Speed in
Ft. / Sec.

20
20
20
20
20
20

20
20
Average= 20

Velocity

~~=~ ~~d
8000

8000
8000
8000
8000
8000
8000
8000
64000 power
units used

TABLE BASED ON VARYING RATES
Time for
220 yards

Speed in
Ft. / Sec.

1

29

22.7

2

30
32
34
36
38
37
28

22.0
20.6
19.4
18.3
17.4
17.8
23.6

3
4

5
6
7
8

264 secs.

Average= 20

Velocity
Cubed or
Power Used
11697
10648
8742
7301
6128
5268
5640
13146
68568 power
units used

The significance of the study is the fact that, although both runners had the same time for the mile,
the one who ran at a constant speed used approximately 7% less power. At least two advantages can
be noted: first, that a runner can, by "pacing" himself, match the time of a stronger runner who does
not pace himself and, second, a runner can achieve
a better time using the same energy if he masters
the technique of pacing. As the famous Australian
coach Lydiard, has said regarding the four-minute
mile, "Most runners can do 440 yards in 60 seconds;
with stamina added they can keep up that pace for
four times 440 yards." Try to run 110 yards in 15
seconds - not a difficult task. Thirty seconds for a
220 yard canter? - quite easy. However, if you
could maintain this pace for a mile you would cover

t

8

�INTERVIEW WITH THE LAKEHEAD UNIVERSITY GLASSBLOWER
Ken Sumpter
IS EDUCATION ROULETTE?
Ken:

What are you actually going to do in
in this magazine?

Us:

Well, I'm not sure. The idea is not to
try to professionalize it, but to write
articles for the "ordinary" students in
Grade 72 and 73. Our problem always
is that we tend to make things too
professional. I still think YOU could
write one!

Ken:

I've got my own view about education
as such, you know, particularly at this
moment. It's a difficult job to promote a University to high school students.
It's a fact that there are NO JOBS at
this moment in time. It's like a game
of roulette to pick a subject where you
are going to find work because what
looks good now ....

Society does not truly recognize the fact
that you need broader-based people who
know things, but at a lower level. Everybody
THINKS as specialists do when they start
off. Somewhere along the way, you want an
enlightened person who is not working at a
very high level, but at a good level of their
own competence. It's like the sort of thing
that happens on a factory floor. You get a
first class charge hand and the place runs like
a clock. And they think, "Gee, he's a good
fellow - we must get him up", and so they
promote him into management and he comes
up to a level of incompetence and he's stumbling about up there and he can't manage it.
That's the sort of thing that happens.

Us:

I'd rather talk about YOU, though. You
really won't write an article? You know,
people are always turned on by glassblowing.

Us:

. . . . may look very different in ten
years' time.

Ken:

Ken:

Right! If I was going to do something,
I'd probably do Physics because ....

Yes, but you know it's only because it's
something like action painting ...

Us:

Us:

.... nobody's doing it.

Sure, and what's wrong with that? And, by
the way, the magazine is NOT to sell
Lakehead University.

Ken:

A sort of "Science and Technology Gallops
On", I suppose. "Everything is being produced but people haven't learned to live
with it."

Us:

I'm sure the readers would be happy to know
how you got into glassblowing.

Ken:

Yes, well, I worked in a research lab and I
used to go watch the glassblower at lunch
time and he al lowed to me practice. He
said, "Do you want to do it permanently?",
and the boss took me on: 23 years ago!

Us:

Did you apprentice?

Ken:

Well - not really. They CALLED me
"apprentice" but I didn't have any indenture
papers. The glassblower, he was working two
days a week for Reading University, and one
of the guys he was working with took the
Chair at Hobart, in Tasmania: he asked the
glassblower to go with him and I took over.

Us:

Did you have to go through the business of
six months making the centrifuge tubes?

Ken:

No ....

Us:

.... But, if nothing else, there's an
energy crisis and it's going to be solved
by the Physicists.

Ken:

The universities now have got to completely alter their old way of thinking
from a pure academic point of view.
Education has DEFINITELY got to be
pertinent to what's needed. For example, there's no good in teaching a guy
pure Physics alone. A student has to
mke up his-mind EARLY. Some people should have a wide variety of subjects, but a FEW should specialize early.

Us:

We need both kinds ....

Ken:

Yes, we need a balanced program.

Us:

Is what we want to get across in this
magazine, the fact that they've got to
be thinking about what they're going
to be doing much earlier than they
are now?

NOT EVERYBODY CAN BE AT THE
TOP
Ken:

IT'S A SLOW PROCESS

One of the problems is, I think, that
we've got an overspecialized society.

Ken:

9

Oh, yeah! yeah! But the thing that was
REALLY difficult was pulling concentric

�got a lot backed up means that you worry
about it, because nobody likes to wait and
people are reasonable if you're reasonable with
them. I think sometimes I get a little niggled,
though I try not to be. But I found the trick
is, if I get a guy occasionally is being a bit
unthinking or something like that or he's in a
hurry for his own job, he'll bring a job in that's
DIRTY. That's the thing that REALLY annoys
me when I get a greasy job. I clean it when he's
left it dirty; it's quicker for me to clean it than
chase after him. But, I found the trick is, if I
DO blast anybody, I've got to then think about
it afterwards, and if I come out and very often
I'm not being fair, half the time I say, "I'm
wrong, I'm sorry." It makes him feel better.
It makes me feel better, and it doesn't cost
anything.

spears* out of bits of tubing, and I remember one time when I had been at it for about
six months, I used to go home and worry
about it. At one time, I would think I was
getting pretty good, and then I would think,
look at this stuff that I was going to have to
make like diffusion pumps, and I'd think I'd
NEVER get it. - "Look at the trouble I get
into with a little 10 millimetre spear!".
Slowly and surely the mistakes and breakages
got fewer until in the end it came to be
automatic. It's interesting, but at the same
time, you can get yourself in a terrible emotional state over it.

Us:

Is it true that ALL glassblowers are
emotional?

Ken:

Well, let's say a little edgy.

Us:

They're real artists, aren't they? Prima donnas.

Ken:

Yes, I know some temperam~ntal glassblowers
who ARE difficult. But when a guy comes
into your shop and wants something, it's not
fair that you should rip into him because you
just had a bad time with the piece of glass!
You can be right on the last joint of a piece
of work and you made a decision about ten
moves before that which left you no way out.
You thought you were going to sneak through
without putting a proper asbestos bung in
place and you found the cork you used instead
burnt away and you can't blow into the system
and you can't put your finger on it because it's
too hot, and you watch the molten glass dripping away in front of your eyes and you get
angry with yourself because, YOU, ... YOU .. ,
YOU'RE SO STUPID, THAT, ... THAT ... ,
THAT YOU KNOW IT WAS GOING TO
HAPPEN. But you took a chance because you
were rushing, when you should have disciplined
yourself and said "No, let's do it properly and
take your time." They say, "IT'S A GOOD
GUY THAT CAN GET HIMSELF OUT OF
TROUBLE BUT IT'S A BETTER GUY THAT
DIDN'T GET HIMSELF INTO IT IN THE
Fl RST PLACE." No, it's interesting and it's
fulfilling, but it can be awful shattering. One
of the worst things is when you've got a lot of
work banked up and people are waiting for it
and you've got some intricate work that needs
all your attention. You've got this lot waiting
for you to do and it's PRESSING.

Us:

Is it increasing in volume, or is it just about
steady?

Ken:

Well, work here, oh yes, it gallops ahead. We've
got some more graduate students coming in
which means more racks and gadgets.

Us:

What's your major job at the moment?

Ken:

Well, I would think catalytic sy-stems. There
are a lot of people working in Catalysis. And
each one has got a different system. Now Dr.
Hawton has just got back from N.R.C. full of
ideas and there's a real big rack going up for
him.

Us:

You mean N.R.C.? In Ottawa?

Ken:

Yes, I went down to see them and get some
idea of what kind of work I had to do on
those systems. They get bigger and bigger.
They grow like Topsy and occasionally you
have to cut the lot off and start again. They
get so many new pieces added that it looks
like ivy on the wall

L.U. HAS TO BE RELEVANT
Us:

As somebody who sees the Faculty from
outside, what do you think is the future of
the University in this district?

Ken:

Well, I would think that it's going to alter to
some extent. I think probably work that's
going on in Chemistry is pertinent to the cleanup of automobile exhaust fumes, for instance.
I think the University will not survive as a
University without research, but I think at the
same time it's got to be appropriate to the
needs of the area or the province or the
country.

Us:

Which brings us back to what we said at the
beginning. The problem of specialization,

IT COSTS NOTHING TO APOLOGIZE
Us:

Can't you lock the door?

Ken:

Well, you CAN, but the mere fact that you've

* Concentric spears are drawn-out thin spikes of glass tubing,
- Ed.

Continued on next page at bottom right.
10

�INDUSTRY AND THE TECHNICAL GRADUATE OF THE 70'S
By R. G. Lightfoot, -

Dryden Paper Co. Ltd.

volved - the rapid outdating of the knowledge learned in the academic halls, and the ability or perhaps
desire of a person who is no longer in his or her
early twenties to stay abreast of rapidly changing
technology. The consequences of these two factors
are very interesting. Consider, for example, industry's feeling that the performance of most technical people peaks in their early thirties and declines
thereafter. Th is is reflected by the fact that companies are generally forced to decrease the complexity of
job assignments of technical personnel after the age
of thirty. The effect is also felt in salaries, with the
purely technical people peaking before the age of
forty.
Does this all mean that young people choosing a
technical career in industry are doomed to thirty
years of downhill sliding after the initial challenging
and rewarding ten years? Definitely not! What it
does mean is that a technical person must recognize
what will happen early and take appropriate action.
This can consist of constant knowledge updating
through formal classes or reading, or the person can
embark on a second career. The latter approach
often means moving into the supervisory and managerial areas and provides a much needed reservoir
of talent for industry. The technical person must
recognize that whichever road he chooses, a great
deal of self development will be required. It is not
easy to stay technically up to date, nor is it easy to
suddenly become a manager of people, money and
machines. For those who make the grade, the rewards both financially and from a self-satisfaction
point of view are well worthwhile. t

A MEMBER OF MANAGEMENT POINTS
UP A PROBLEM

Today's Canadian technical school or university
graduate is more knowledgeable and better trained
than ever before. And indeed he should be since
much of the knowledge he has gained in his technical training has only been known for 10 to 20
years and he has had the benefit of some of the
best technical facilities available in the world.
Industry not only is aware of the qua Iity of these
graduates, but very much requires their talents in
order to survive in the highly competitive business
world of the 70's. The future would thus appear to
be assured for the technical youth preparing to enter
industry. Such, however, is not the case. Three obstacles stand in the way: the supply and demand
interrelationship, technical competence and technical obsolescence.
During the S0's and 60's, the vast majority of
technical graduates in Canada found ready employment. Engineers in particular were in demand. It
was not uncommon for each graduate to have five
or more job offers, with the recruiting companies
having to really court the graduate. The net result
was skyrocketing starting salaries, a great influx of
students into the university science courses and the
large scale entry of technicians and technologists onto the Canadian job scene. Not surprisingly, the
supply of technically trained people soon outstripped
demand, to the point where today's university or
technical school graduate not only does not have a
wide job choice, but is considered fortunate to be
employed in this field at all! The business slowdown
in Canada in the 70's certainly hasn't helped; however, even with business running full out, there are
not enough openings to provide jobs for all the technical personnel available.

Interview with the glassblower, Ken Sumpter
Continued
not just the problem of specialization of
Faculty, but people who sit on moneygranting committees, that sort of thing.

INDUSTRY MORE SELECTIVE

The fact that the supply of technical graduates
exceeds the demand also means that industry can be
more selective in its hiring and personnel retaining
policies. In other words, the graduates with the most
to offer regarding knowledge, personality, appearance
and promotability will still be very much in demand.
The bottom half of the class and those judged not
able to contribute effectively will not be so fortunate.
The third career obstacle facing the technical graduate is knowledge obsolescence. Two factors are in-

Ken:

11

One of the problems is, I think, that
there are so many other things in Un iversity that deny the freedom of people
being able to look more constructively
at things, such as the political atmosphere in the University. Producing
research papers is an important thing,
but at the same time they've got to
be of some relevance: we have to do
things that matter.

�TWENTY-MINUTE PUZZLE
1

2

~

7

.")- ;I

•

5

4

3

6

·.

-:or·

8

11

10

9

12

13

14

15

16
I .•

II

18

17

19

20

ACROSS
1.
Does his law indicate he was partial to pressure?

DOWN
2.

[6/
7.
8.
10.
12.
13.
14.
17.
18.
19.
20.

The place for experiments (abbreviation) [3/
The first ''T'' in T.N.T. [3/
Abbreviation for a one molar solution! [2/
A unit of radiation or the place to put antifreeze in your car (abbreviation) [3/
In the electrolysis of sodium chloride, this is
where you can collect chlorine. /5/
One of the nob le gases. [ 4 /
Abbreviation for a type of radiation of
wavelength greater than 8000 Aapprox. [2/
A unit of electrostatics (abbreviation) [3/
A system of units (abbreviation) based on
metric system. [3/
Symbol for manganese. [2/

3.
4.

Common name of the double salt of potassium
sulphate and aluminium sulphate. {4/
Symbol for the first of the rare earths. [2/
Serious disease (abbreviation) or symbol for a
rare earth element [2/

5.
and
6.
9.
10.
11.
15.
18.

The gas for comedians? /7, 5/
Madame Curie first isolated this element. /6/
The bonding type in sodium chloride. /5/
An early method for the extraction of native
gold. [3/
A unit of energy. /3/
Symbol for an element named after a
continent. [2/

A prize for the best clue to 16!

SOLUTION IN NEXT ISSUE ..... .

12

�REFLECTION ON LAKEHEAD UNIVERSITY
By Gary Human
UNIVERSITY HELPFUL
Let me now suggest to you the assistance I have
found available to the teacher from the staff of
L. U. Specifically, the staff of the Chemical I nstrumentation Lab have offered to supply my grade 13
chemistry class with all the necessary graphs and
films to enhance the Instrumentation section of
Chapter 20 of Toon and EIiis's "Foundation of
Chemistry". Further to this, the inorganic lab
under the direction of Dr. Holah has offered to
run grade 13 labs dealing with experiments on
pollution. Other professors have indicated an interest in assisting when and where requested.
Although this article may tend to be brief in
words it is intended to be rather long in praise
of an excellent summer course. I thank you for
your attention and consideration given to this
one student's opinion. t

TEACHER MEETS PROFESSORS
Th is summer I had occasion to attend Lakehead
University and enroll in the Chemical Instrumentation
Course offered by the Science Department. Th is was
a rather unique experience in that it was the first
science course I had taken since graduating with a
BSc in 1964. Some pertinent objective observations
are herewith enclosed.
The course left nothing to be desired, in that it
included both the theory and practical application
of the Mass Spectrometer, I.R., Spectrophotometer,
N.M.R., and X-ray Diffraction. I believe that the
key of the course was the emphasis on learning how
to operate all the above mentioned instruments,
then how to interpret the data included in the
resulting graphs and films.
So much for the course .... now to discuss the
two intended points of this article: how does the
Lakehead University Science Department approach
learning processes of its students, and how can a
course of this nature eventually assist the science
teacher?
Suffice to say that L.U.'s Science Department
surrounds itself with an excellent facility and, I
should imagine, a fairly substantial budget. The
more important aspect of this department, however,
is the staff, who for the most part are some of the
finest people I have occasion to work with. Speaking from a completely personal point of view it was
noted that once a student's desire to learn has been
established, then there was no end to the assistance
that made itself available, not only in terms of the
immediate assigned instructor or assistants but also
from the specialists thoughout the department who
tended to show a genuine concern for the students.
At this point allow me to make mention to one Dr.
Tom Griffiths. On first meeting this gentleman you
may be inclined to consider him to be a rather blunt,
academic and extremely practical individual. However,
after thoroughly enjoying a six week course with him
you will realize that he is, in fact, a blunt, academic
and extremely practical individual - who will stay
by you for hours on end until you have satisfied
yourself that you have grasped the situation! Dr.
Griffiths surrounds himself with two excellent lab
assistants who will bend over backwards to help you
gain a full working knowledge of the instrument
under study.

WHISKY

By George Anderson
A SCOTTISH TECHNICIAN LOOKS AT SCOTCH
The art of whisky distillation is practiced in several
countries, notably Canada, the United States, Ireland
and Scotland. However, the Scottish product has
probably achieved the highest standing internationally,
exports of Scotch being world wide.
The name whisky (the alternative spelling of
"whiskey" is used for the Irish product) is an anglicized version of the Gaelic uisge beatha, which means
"water of life" ~nd this expression is believed to have
originated from the Latin, aqua vitae.
In the production of Scotch whisky, two somewhat
different methods are employed, resulting in two types
of whiskies which are known as Grain Whiskies and

Malt Whiskies.
For malt whisky, barley is soaked in water for two
or three days, then it is spread out and kept moist and
warm for a further period of eight to twelve days. The
water used for the fermentation of the grain is taken
from springs which have risen through granite or peat
and distilleries are located close to reliable sources of
such water. Under these conditions, the barley germ-

(Continued on page 23)

13

�AN OPINION OF SCIENCE AT L.U.
By our old friend, Anonymous
[He is NOT a member of the Establishment - far from it! - Ed.]

female) bring years of experience with them
to the university. Unlike some other faculties at
Lakehead U., Science has a large number of Canadians in its ranks. With well over 20% of the full
professors native Canadians,* the Science Faculty
is relatively abundant in Canadian content. [*and
many other naturalized - Ed.]
The backbones of the science departments are
undoubtedly the technical support staff. It is the
technicians who do the unspectacular chores that
are so necessary for operation of the department.
Technicians clean glassware, align spectrometers,
tune r-f receivers, prepare instruction laboratories
and sweep floors. They have an important role in
research, assisting faculty members in• the preparation and operation of laboratory apparatus.
The technicians at L.U. are almost as cosmopolitan as the faculty. Although most of the technicians originate from the British Isles; Finiand, Woodstock Nation and Canada are well represented. L.U.
is most fortunate to have such highly skilled individuals choose Thunder Bay as their home.
A university may have highly rated professors
and technicians but without the proper facilities,
quality science instruction and research cannot be
obtained. Lakehead U. is slowly acquiring the best
of modern research tools available as well as a full
complement of student labware. The Science Department is now located in the recently completed
Centennial Building. With its well lit interiors,
conveniently arranged laboratories and spacious
hallways, the Centennial Building has proved to be
a tribute to its designers.
The amount of scientific equipment at Lakehead
U. is enormous. There are many varieties of spectrometers, including a mass spectrometer. As well
as the usual large numbers of conventional light
microscopes, there is a Phillips High Resolution
Electron Microscope. Large numbers and forms of
vacuum systems can be found throughout the building, many capable of reaching 10- 10 Torr. Chemistry
has excel lent chromatagraph setups. Important support facilities such as the glass blowing 1·ab, lntrumentation's electronic diagnostic equipment, a competent machine shop, as well as various photographic
darkrooms are dispersed throughout the building.
For its size, Lakehead University's Science Department is quite sufficiently stocked with the required
apparatus needed in modern science.

L.U. SCIENTISTS AND TECHNICIANS
"GOOD" ON THE WHOLE

The general concensus is that one must allot a
certain quota of one's time and energy to the
earnings of one's living. The alternatives are very
grim; being perhaps prison, drug addiction, or
maybe politics! With that in mind, most citizens
spend a portion of their day at the corporation
or institution of their choice. I had developed a
keen interest in science on the day I got 92% in
physics without studying, so when my day of
decision came I took the path of least resistance.
Having been a member of Lakehead University's
science community for approximately three years
now, I have had time to consider, both qualitativley and quantitatively, the relative importance of
Lakehead University's Science Faculty. Hereforth
lie some of my impressions.
Lakehead U., like all other institutions, has a
book of rules that is necessary for its operation
in the manner it does. The constitution seems to
imply a form of democracy, but as usual the
principles work for the principals. The University
is divided into three or four camps, being termed
Faculties in this case, with the President as supreme
commander. And of course there is the beaureaucracy to keep everything businesslike.
Since L.U. evolved from a technical school, it
is not surprising that science has played an integral
part in the development of the university. With
the addition of the Centennial Building in 1969,
the Science Departments gained full laboratory
facilities for research and student instruction. Science now had some excellent research apparatus
and a skilled technical support staff to complement
the highly qualified teaching staff.
TECHNICAL STAFF ARE AS IMPORTANT
AS FACULTY MEMBERS

A look at the credentials of members of the
science faculty shows them to be an impressive
group. They have long lists of degrees from MIT,
Glasgow, London, Toronto and Iowa. Some of
these scientists have come from as far as Texas,
from Ireland al"ld London, from Vienna and Geneva
and from Newfoundland to join the Faculty of
Science at Lakehead U. All of these men and
women (women seem to be in the minority, with
only approximately 1.88% of the faculty being

14

�RESEARCH IS LOCALLY ORIENTED
A multitude of research projects are being
conducted on these machines at L.U. The chemistry
department currently is conducting a co-ordinated
study of catalysts from which industrialists may
benefit greatly. This project involves a large number
research tools including the mass spectrometer, the
electron microscope and a number of chromatographs. An interesting study is being staged by
Lakehead University biologists on mineral uptake
in the leafs of vegetation located near mining areas.
Information gathered here may be of significant
interest to prospectors in their efforts to develop
Northern Ontario. Geology, working closely with
the local mining business, is slowly obtaining information on the structure of the bottom of Lake
Superior, using machines such as rock crushers and
x-ray spectrometer. Solid state research is conducted by some members of the physics department,
requiring sophisticated electronic apparatus. The
electronic industry has a constant need for new
discoveries in this field. Modern business is using
complex mathematical methods increasingly everyday. Mathematicians at L.U. have a large I.B.M.
computer at their disposal for their formulations.
Last but not least are the students which actually
are the reason for the existence of Lakehead University. Students come to L.U. from as far west as
Hong Kong; from Nova Scotia, Texas and Kenora.
Hundreds of undergraduates are processed by the
Science Department annually. Once processed,
science graduates then enter the fields of opportunity that are available to science graduates in
Canada.
A few of the more competent graduates are
absorbed into one of the master programs at Lakehead University. For the next few years they are
initiated into the field of scientific research as they
work in the labs till late at night, tutor students and
assist professors in their paper production.

structure. My job requires a bit of skill and is
quite satisfying at times. The impression that L.U.
has made on me so far is that with its feudal power
structure it compares quite favorably with other
institutions of its size and rank. The Science Departments, I feel, especially chemistry, are of excellent
quality. Chemistry graduates have done well at other
universities. Faculty members that I am acquainted
with are pretty good people, most work fairly hard,
some are conducting some interesting research. The
technicians are almost totally a good lot.
Lakehead University is entering a new period
under the leadership of newly appointed president
Dr. Booth. Since Dr. Booth is a respected practicing
scientist, Lakehead University's Science Department
can look forward to a bright future. I personally
am of the opinion that if one must have a science
degree then one might as well take it at L.U.

t

SMALL UNIVERSITY ADVANTAGEOUS
One of the advantages of a small university like
L.U. is the accessability of expensive science apparatus, the use of which is so necessary to modern
research. Undergraduates become acquainted with
such instruments as the electron microscope as early
as the third year. The use of spectrometers such as
the Infra-Red Spectrophotometer are important in
chemistry instruction from the second year on.
Graduate students have almost free access to most
research apparatus as well as the skills of countless
technicians.
This is the environment that I enter at nine and
leave at five. I am positioned rather low in the

15

�HIGH SCHOOL STUDENTS ASSESS BLEACHES
has a stock sulution from which he can take a
number of 25 ml portions for titration until
consistent results are obtained. To each portion
is added about 10 ml of dilute acetic acid and an
excess of about 1 - 2 gm of potassium iodide. Most
of the students recognize the brown colour of iodine.
(l 2 ) as it is formed. The quantity of 12 that has
been oxidized from the iodide ion is proportional to
the amount of available chlorine.
The last step in the analysis is to measure the
amount of 12 by reducing it back to 1- using a suitable reducing agent of accurably known strength,
such as 0.1 molar sodium thiosulfate.

Students from Northwestern Ontario High Schools
have been doing their own consumer research in the
University's chemistry department. Under the expert
guidance of Dr. Holah, they have been checking up
on the manufacturers of laundry bleach. The active
bleaching agent, as the bottle labels state, is sodium
hypochlorite (NaOCl), usually in the form of a 5%
solution. The strength of a bleaching solution may
also be expressed as the amount of "available chlorine", which is the amount of chlorine which can
be "liberated" from the solution by simple chemical processes. It's the chlorine that does the job.
The students are provided with bottles of Javex,
White Magic, French Maid, A &amp; P and so on. They
find three things: - -

2S 2 0 3

1) The percentage of NaOCl, which is compared
with the manufacturer's figure on the bottle;
2) The percentage of "available chlorine", which
is also compared with the manufacturer's
figure;
3) What every housewife is interested in - the
"Best Buy.'' From the volume of the bottle,
the price and the percentages, the student
evaluates the order of bleaching value for
dollar spent.

12
2S 2 0 3

For the chemistry buffs, here is the prescription
prepared by Dr. Holah.

THE ASSESSMENT OF BLEACHES

By Dave Holah
The basic chemistry involved is the fact that the
hypochlorite ion is a good oxidizing agent in dilute
acid solutions, and will oxidize iodide ion to iodine.

+ 2H+

+

Cl

21

+

12

➔

S406

➔

21

=+

12

➔

=

S406

= + 21-

BLUE COLOUR IS THE KEY
He therefore can titrate the iodine solution with
thiosulfate and watch the brown 12 colour slowly
fade. Most of the students are familiar with the intense blue colour formed by the interaction of 12
and starch, and this is used to mark the end point of
the titration. Thus, when most of the brown 12 has
been reduced and the solution is a pale yellow colour,
a few drops of starch solution are added to give the
deep blue colour. The thiosulfate addition is continued slowly until very suddenly, within one drop,
the blue colour (and hence the 12 ) is discharged and
the solution becomes perfectly clear.
One of the problems is that the students are often
confused about which solutions must be pipetted
accurately and which can be handled in a much more
casual manner with a crude measuring cylinder, and
it is not until the student understands the chemical
reactions that this point is made clear.
The experiment is popular with the students,
since it rel"ates some of their school chemistry
(1 2 -starch) with consumer products, and ends with
a result that may be of use to them (or their parents)
in terms of deciding which bleach to purchase. It
also lets them use analytical equipment which most
of them have not touched in the school.

The answer? Most students agree that _ _ __
is the best. We deliberately leave you guessing - if
you want to know the answer, ask somebody who
has done it! (Or ask Dr. Holah to let you do it for
yourself).

OCl

=

+ H20

The student begins by pipetting 10 ml of bleach
(usually directly into his mouth at the first attempt)*
and diluting to 250 ml with distilled water. He then

* It's not dangerous - just unpleasant.

16

�THE MYSTICAL WOLF
By George Ozburn

their food supply. To cry wolf then would suggest
that the mighty deer stalker has spent too much time
in the concrete jungle and lost his ability to read the
nature's sign boards.
A recent study of the Isle Roy ale wolf suggests that
the wolves appear to keep the moose herd within its
food supply, cull undesirable individuals such as the
old and the parasitized; and also, to stimulate reproduction. On this island ecosystem, the wolves will
probably remain in a very dynamic equilibrium due
to little intervention by man.
The city dweller should be overjoyed if in some
outward bound movement, country is reached
where the eerie howl of a wolf may be heard in the
stillness of the night. There might then still be a
hope of your seeing one of these beautifully graceful creatures. t

OZBURN KNOWS HIS WOLVES
Have you ever seen a wolf? Perhaps if you have
travelled the Algonquin Park trails, the Temogami
Lake or Quetico area, you have heard one. My first
experience with them was near Bear Island on Temogami Lake while camping. During two consecutive
nights they howled outside our lean-to. In the early
morning we looked carefully trying to establish where
they really were, but they didn't even leave a track.
My next contact was some years later - with their
tracks - fresh on new fallen snow. I have often
thought back to those first wolf tracks which my
companion assured me were those of the terrible wolf.
We own huskies and after a few years of mushing, one
sees many foot prints of various shapes, any of them
could be those of a wolf.
Finally while winter fishing on a lonely lake, I saw
my first live wolf in the wild. We spent a glorious
half hour observing these graceful creatures playing,
romping after one another, chasing their tails; but
are they shy! They caught wind of us as we cautiously stalked them along the shoreline and suddenly were
gone like ghosts.
From the air in the winter they are very easy to
spot. Flying just at dawn on a clear frosty morning
it's easy to spot a set of tracks and follow. Often
they are returning along the edge of a frozen waterway after a night's foraging. Frequently they are even
found quite close to town.
They are often quite defenseless. The -snow in the
bush is deep and soft so they try to outrun the plane
on the hard pack of the lake. It's no wonder so many
people take advantage of them and hunt them this
way. These people really aren't hunters.
The late Jack Miner for all his wonderful work
with bird conservation was very short sighted about
nature's wonderful biological selection force, the wolf.
He reportedly sighted them as cold blooded killers,
destroying deer herds. Granted in some parts of the
country where snows are frequently very heavy, the
depth of snow serves the same function.
When deer hunting falls off, we need a scrapegoat.
Since the average city dweller never sees the great
outdoors in the mid winter and doesn't realize the
other hardships, he promptly blames the wolf. The
result? These predators are called "varmint". Yet,
predators cannot become too abundant. They can
never increase beyond the limits set by availability
of food. If they are very abundant. then so must be

l7

�THE FIFTH WHEEL
By Charles Mallard

ENGINE OUTPUT COMPARED WITH
FACT ORY RA Tl NG
The Plymouth Cricket, an English built import,
when introduced to the North American continent,
was assigned a very optimistic horsepower rating.
The 1972 models have since been defactored to a
more realistic power rating and a more powerful
motor has been added as an option. It was my
intent to calculate the engine output of my car
and make a comparison ~etween the factory ratings.
The motor could then have been modified and
more comparisons made.
The construction of the fifth wheel was simple,
although time consuming. It consisted essentially
of an aluminum Y shaped frame and a 26" bicycle
wheel upon which three magnets were attached. As
the wheel rotates, the magnets pass a reed switch
mounted on the frame. The switch opens and closes
sending pulses (supplied by a flashlight battery) to
the tape recorder. The number of pulses per second
is proportional to the car's speed, e.g., 30 pulse/sec
= 40 mph. The frequency of the pulses is obtained
from the tape recording which is fed into a pulse
counter. The graph is then plotted by hand.

GIRLS OR CARS?
Last year the second year students taking Dr.
Hart's mechanical physics course 2e4 were allowed
to conduct an experiment of their own choice. The
nature of the experiment was entirely up to the students and materials needed would be provided, on
condition that the students construct the necessary
equipment themselves if it were not readily available.
Unfortunately, the experiment had to be designed
with some basic physics involved, so I had to rule
out the plan to interview every beautiful woman in
Thunder Bay and compile a very comprehensive
black book for myself. I still can't understand why
Dr. Hart couldn't see the physical aspects of such
an experiment, but be that as it may, I elected to
change the concept of the experiment entirely and
construct a "fifth wheel" for my car.
The fifth wheel is literally, as its name implies,
a fifth wheel which is towed at the rear of a vehicle.
It is, in essence, an electric speedometer from which
a record of the vehicle's speed may be recorded. It
is electronic in nature and does not have the errors
common to mechanical devices such as a car speedometer. However, the most advantageous aspect of
such an instrument is that the car's speed may be
recorded as a function of time by feeding the data
into a portable casette tape recorder. There is no
need to use a stop watch and comments can be
recorded directly onto the same tape.
The basic idea to construct such an instrument
arose from my keen interest in the technical aspects
of automobiles and my desire to evaluate the performance of my 1971 Plymouth Cricket. Fifth wheels are
used extensively for road testing cars (acceleration and
braking capabilities) and the results are published in
numerous car magazines. However, to my knowledge,
no such test has been carried out on this particular
car. I could therefore obtain this data first hand with
such an instrument. It is also possible, by making use
of a few simple laws of physics and elementary mathematics to obtain more useful data such as drag (wind
and rolling resistance) versus car speed, and rear wheel
brake horsepower and torque as a function of engine
rpm. Such data would enable the calculation of
theoretical top speed and optimum rpm shift point
in each gear. A graph could be constructed which
indicates the rear wheel horsepower required to maintain the car at any given speed and it could be extrapolated or an equation devised to show how much of
an increase in HP is required to produce an increase
in top speed and/or acceleration.

NOT ALL UNDERGRADUATES
EXPERIMENTS BORING
Unfortunately, because of poor magnet alignment and improper tire balance, we were unable
to obtain consistent readings above 50 mph. The
arrangement of the magnets was changed so that
we could use two magnets and two reed switches
and allow more precise alignment of the magnet.
This setup has not yet been tested and therefore
the desired data have not been obtained. However,
the fifth wheel doe~ work (hopefully above 50
mph now) and with a fair degree of accuracy
(+ 1 mph). The entire project cost very little
and although the aims of the experiment have
not been fulfilled completely the results thus far
are very rewarding. It just goes to prove that
not all experiments are boring.

18

�LIBERAL SCIENCE PROGRAM
It is impossible to over-estimate the importance of
science in today's careening technological world.
Science is the only branch of human enquiry which
applies itself to the systematic observation and interpretation of our physical environment. As such,
science provides a fountain of well-defined data upon
which to base important judgements which must be
made now if we are to survive.
The influence of science and technology upon
modern man staggers the imagination. And yet, there
have been very few systematic attempts to bring th is
home to future teachers, legislators and decisionmakers. The Liberal Science Program aims at giving
such people a broad view of science, rather than
producing professional scientists. The program brings
science out of the confines of the laboratory in order
to explain its effects upon man and his environment,
and also to explore ways in which science can influence our daily lives for the better.
Students entering the Liberal Science Program
must have successfully completed Grade 13. But
science and mathematics are not prerequisite, as they
are for other programs in the F acuity of Science.
Requirements include a mature mind and a desire to
understand the role of science.
Liberal Science students may concentrate on any
Arts subjects to meet the requirements of the program.
Indeed, it is essentially designed to provide a broad
background in science study for students specializing
in the social sciences, humanities, or education. It is
extremely flexible, allowing easy transfer in and out
of the program from other Arts and Science programs.
In addition to at least three subjects from the Faculty
of Science and up to seven from the Facuity of Arts,
the three-year Liberal Science Degree Program requires
at least five of the following courses:

A brief treatment of the physical features of the Earth
is followed by an examination of the interrelations
among organisms and between organisms and their
environment. Questions of conservation, pollution,
and the future of man are discussed at length.
L.S. 103 Chemistry and Man - This is a survey of
those aspects of chemistry which affect our lives every
day. The material will include a general historical
introduction. Following this, a basic understanding
will be provided for such popular activities as photography, wine-making and pottery. Also, such topics
as the energy crisis, birth control, pollution, physical
and mental health, the use and misuse of drugs will be
discussed from a chemical viewpoint.
L.S. 104 The Physical Nature of the Earth - The
general physical and chemical principles relating to the
origin and development of the Earth are the main focus
of this course. Particular concerns include the external
and internal processes which are constantly forming
and deforming the Earth's crust, laboratory work in
the mineralogy and petrography of the principal
rock types, the identification and use of fossils as
indicators of relative time, and the interpretation
of geological maps.
L.S. 105 Contemporary Physical Thought Important scientific literature is often ignored because
its language is too technical or mathematical for the
general reader. This course purposes to interpret such
writings to promote understanding in the theories of
the Universe and its creation, in the laws of physical
science, and in recent scientific thought. Proficiency
in mathematics is not required.
L.S. 107 Mathematics - the Analytical Tool of
Science - Mathematics has always been indispensable
in the formulation of theories and the solution of
problems, both in the traditional disciplines and in the
newer social sciences. This course outlines the way in
which the "mathematical method" has influenced the
study and application of science throughout its history.

L.S. 100 Science and Man - The profound influence of science on the individual and society is the
central focus of th is course. The effects of great
experiments and theories on the development of
civilization are studied in detail. The relationships
between science, technology, philosophy and politics
are identified and discussed. Also, the role of science
in determining the way we think and act is probed as
far as possible.
L.S. 101 Science in an Age of Machines - The
explosive development of technology has led to
qualitative changes in the nature of the Earth. This
course studies the effects of manipulative techniques
on man's environment.

L.S. 108 Astronomy - This course is designed to
acquaint the student with the principal features of
the Solar system, our Galaxy, and the known Universe. The student will make observations of the
moon, planets and stars, plot their movements and
deduce some of their properties. Photographs from
observatories will supplement the student's observations. No previous background in physics or
mathematics is required.

L.S. 102 Natural Science - Th is course aims at a
unified understanding of the basic principals of nature.

19

�KEN SUMPTER "Education has DEFINITELY
got to be pertinent"

"By such methods of dating .... !"

�~

DR. HOLAH . ... AND FRIENDS

"Ask him .... to let you do it for yourself!"

DR. OZBURN

"when deer hunting falls off,
we need a scapegoat"

�A STUDENT'S VIEW OF THE LIBERAL SCIENCE PROGRAM
By Gloria McNeil!

Science, Chemistry and Man, Astronomy and Problems in Pollution will do.
The Liberal Science programs offers the freshman
university student a chance to experience a wide
spectrum of courses without being committed to one
specific discipline. If upon deciding that he prefers
one subject over others, he may concentrate in that
field in subsequent years. In fact, the Liberal Science program is designed such that "the student after
first or second year would be able to transfer into a
major or honours program in Science or Arts", as
stated on page 139 in the 1972-1973 Lakehead University Calendar. This eliminates the problem of
choosing a specific discipline for the uncertain firstyear student.

A UNIQUE OPPORTUNITY?
The Liberal Science program offers a unique
opportunity for different sectors of the community. It gives teachers, politicians, housewives, and
generally all persons interested in taking university
courses for enjoyment, the chance to experience
fields of study they would normally not come in
contact with (or desire to come in contact with!}
Teachers who have indulged in Liberal Science
courses have a greatly enriched reservoir of knowledge to draw upon when dealing with their students. This aspect is most important to the public
school teacher for he, by himself, must deliver to
a group of thirty or more youngsters a general education. Spelling, literature, grammar, arithmetic and
reading do not suffice, for these will equip the
students with only the essentials of an education.
Children must know more about this world in which
they live, grow, work and play; and it is up to their
teachers to make sure that they do. Thus, it is wise
for the teacher who is in pursuit of his university
degree to major in Liberal Science rather than
narrow his spectrum of knowledge by majoring in
a specific subject. By choosing the Liberal Science
program as his area of study, he will acquire a general education in the realm of both arts and science.
Not only he, himself, but all his students will benefit.

THERE ARE SOME SNAGS
Despite its apparent benefits, the Liberal Science
program contains a number of drawbacks as well. Of
the nine courses calendared as Liberal Science courses,
five are in actuality courses which have been drawn
from other departments and renamed as Liberal Science courses! Hence, these courses do not cater to
the Liberal Science student (as for instance, an English
course would cater to a student who is an English
major}. Rather, these courses are geared towards
those students who intend to major in the related
discipline. For example, LS 104 - The Physical Nature of the Earth - is merely Geology 1 a6 which is
the first-year geology course for specialist students
who wish to continue in the field of Geology. The
Liberal Science student, however, would mistakenly
think this course to be geared towards himself, since
it is calendared as LS 104.
No separate Liberal Science Department exists.
Therefore a lack of continuity is to be expected
within the "non-department". The professors who
teach Liberal Science courses have been drawn from
other departments, and they do not relate to themselves as Liberal Science professors, but rather they
see themselves as professors from their respective
areas of study. To be efficient and therefore beneficial to the student, it would be desirable if all
Liberal Science professors were to be located in
adjoining offices. This would help to remove the
amorphous identity of Liberal Science and would
allow for easy student-faculty contact.
The Liberal Science program as it stands now is
a program without an identity but, on the other

POLITICIANS AND VOTING PUBLIC
SHOULD UNDERSTAND SCIENCE
Politicians and the voting public, too, will benefit
if they choose to study within the Liberal Science
program. It is the politicians who decide what laws
might aid the community and it is the voting publicthat is, the residents of the community - who
decide whether or not these proposed laws are
relevant. Such contemporary problems as drug and
alcohol abuse, air land and water pollution, the
necessity for and goals of space probes, improper
use of our land and natural resources, and many
others must be dealt with. But how can men who
in actual fact know nothing of the causes and
consequences of these problems propose laws which
will solve them? And, how can the public vote
intelligently on these issues when they, too, know
just as little? It is most necessary for politicians
and the voters to acquire a general knowledge about
these contemporary issues and this is what Liberal
Science courses such as Science and Man, Natural

22

�barley, a method of drying unique to Scotch whisky.
The dried barley is ~ext infused with hot water,
cooled, fermented with yeast for several days and
then distilled twice in large copper stills. Part of the
second distillation is collected and matured.

hand, a program with much potential. Perhaps,
once more courses are developed which are truly
and only Liberal Science courses, and once its
professors establish themselves as belonging to a
new Department, then students will be able to
acknowledge its existence. At present a great
number of Lakehead Unviersity students do not
even know that such a department and program
exists, while even those that are aware know
nothing about it.

SMOKE AND WATER PRODUCE FLAVOUR
Two factors are generally regarded as being responsible for the distinctive flavour of Scotch whisky the peat smoke and the water.
Grain whisky is produced by a similar process to
that described for malt whisky, except that a mixture
of barley and corn is used and the distillation is a
continuous one. Other whiskies also use a mixture
of grains.
Most brands of Scotch sold are blends of: grain and
malt whiskies, some blenders say they use "upwards of
40'' whiskies from different areas of Scotland to achieve their desired end.
Scotch is matured in oak casts (which used to be
old sherry casks) for a minimum period of three years,
although somewhiskiesmay be left to mature for more
than ten years. In the cask, changes take place in the
minor constituents of the liquor. Some of the acids
and alcohols present will combine to increase the ester
content while, because of the porous nature of the
cask, air can reach the liquor and combine with certain
alcohols to form aldehydes. Tannin and furfural
(another aldehyde) may be extracted from the wood
of the cask. Although these substances are present
in only small quantities, they nevertheless determine
to a significant degree the final flavour of all distilled
liquors.
The predominant constituents of all whiskies are of
course ethyl alcohol and water, but the differences
found in the important minor components are interesting to compare. These figures are of course approximate and vary with brand.

CONTENT IS VERY GOOD
However, the program content is very good, for
it ensures that students will attain a general education that has a strong base in science. The scienceorientated Liberal Science courses, both those unique to the Liberal Science program and those
borrowed from other departments, teach us more
about the nature of our universe, our world and
life itself. Meanwhile the arts-orientated Liberal
Science courses further our knowledge of ourselves.
There should be more courses like LS 109 Problems in Pollution - which deal with contemporary problems. These courses could be instructed
by using social science and scientific principles to
explain the causes and the impact the problems are
having. Many guest lecturers are available in Thunder Bay who could supplement the courses. For
example, spokesmen from the Ontario Water Resources Commission could speak on water pollution;
spokesmen from the Lands and Forests could speak
on problems in our timberlands and forest mammals;
spokesmen from the Health and Community Information Centre could speak on social problems. These
guest lecturers would thus be able to link the information that a student receives in his courses to situations in the real world outside. We must ensure,
however, that any new Liberal Science courses
developed are developed for the needs of the Liberal
Science students.
Apart from its deficiencies, the Liberal Science
program would become a highly valuable department
within the university and the community at large.

Grams I 100 litres at 100 proof
Canadian
Scotch
Blended
Blended
*Fusel Oils

t

[ Many of Gloria's criticisms have been acted upon,
and we are grateful to her for making them - Ed./

60

150

Acids

20

15

70

Ester

10

20

60

Aldehydes

3
10

5

7

10

50

20
100

10

50

130

200

Furfural
Tannin
Total Solids

WHISKY - Continued from page 73.

Straitht
Bour on
200

*Fusel oils are liquids produced during fermentation and are
mainly composed of amyl alcohols along with some lower alcohols.

inates and the starches are converted by the action
of enzymes into fermentable sugars. When the sprouts
on the barley are about three-quarters of an inch
long, this stage is complete and the -grain is collected
and spread out on screens over a peat fire to dry. The
peat smoke can make direct contact with the malted

Whisky is, of course, an intoxicant. The
word "intoxicant" comes from the Greek toxican, meaning
poison (especially for arrow tips!) It's insidious stuff, and
those fuse/ oils can play the very devil with the brain. )

(Editor's note:

23

�THE REPRODUCTIVE BEHAVIOUR OF
THE BLUE GOURAMI
By

John H. Kelleher
RESULTS MORE STIMULATING
TO STUDENTS

LOVING FISH PROVIDE CHI-SQUARE
ANALYSIS LESSON

Ethology, which is the biological study of animal
behaviour, offers a wide variety of research activities.
Included in this research is the study of the reproductive behaviour of fish. Such a study should capture
the imagination and enthusiasm of many students
from the elementary to the college level. Some students may find themselves capable of not only reading the current research literature in Ethoiogy but
also of contributing to it. While most ethological
studies take place outdoors, there is some work that
can be done indoors. In the latter case, the reproductive behaviour of fish could easily be studied as
most schools have the required equipment. The
blue gourami were chosen for this investigation because they are available locally, are inexpensive, easy
to keep, and have been reported in the literature

Rubbing

~g

Spawning

TOTAL

Observed

13

10

12

35

Miller

42

50

46

138

Expected (see App)j

11

13

12

36

On the basis of the above data, for 2 df and a
chi-square value of 1.05 (see Appendix), the differences between observed and expected are not significant at the .05 level. That is, there are more
than 5 chances in 100 that the above differences
could be accounted for by chance alone. The 35
observations that I made were reported during one
mating session, so I assumed the 1 38 observations
of Miller were based on at least three mating sessions. Therefore, it would appear that the observations of more than one mating session did not
yield results that were significantly different.
In a chi-square analysis the researcher compares
the observed results to the expected or chance
results. For example, in the present study the chisquare is generally illustrated by reference to one
of Mendel's experiments on the colour and shape
of pea seeds. However, it was my experience that
most students were not impressed with the application of the chi-square test to the results of
Mendel's experiments. Therefore, the present study
might help, but is not limited to, the instructor who
is looking for supplementary material on the topic
of chi-square.

REPRODUCTIVE BEHAVIOUR COMPARED

The purpose of this study was to find out if there
was any significant difference between my observations
of blue gourami reporductive behaviour and similar
observations reported by Mill er (1964) 1 . The latter
observations served as the basis for calculating the
expected res~lts (See Appendix on page 26)
Two large blue gouramis were placed in a 20 gallon (U.S.) tank. In addition, the aquarium had a
gravel bottom, a few mystery snails, assorted aquatic
plants and a cup. The cup was left in one corner of
the tank in order to provide a hiding place for the
female during reproduction. The fish were fed a
varied diet twice a day. The water temperature was
kept at 80° ± 2° F. Room and aquarium lighting
automatically turned on and off providing a 15 hour
photo-period.
In order to avoid ambiguity, I chose only three
clearly defined stages of reproductive behaviour:
rubbing, clasping, and spawning. For pictures of
each of these stages the reader is referred to the
research reported by Mi Iler.

(Continued on page 28)

Miller, R.S.
Studies on the social behavior of the blue gourami,
Trichogaster trichopterus (Pisces, Belontiidae),
1964, Copeia, No. 3, 469-496.

24

�FROM HIGH SCHOOL ON:

A CASE FOR BIOLOGY

By Claude Garton
is a broad one and full of wonder. Whatever the
animal, if we get to know more about it, we feel
a fellowship that is part of a good life.
Genetics js a science that has a special appeal
to many. It is the study of inheritance. No two
individuals of any species are exactly alike. Why
so many similarities? In the past century, great
advances have been made in this field. We even
read that we are on the way to being able to create
life. If you wish to specialize there are many subfields in Biology: ornithology, entomology, morphology, and enough -ologies to fill several pages. It
is hoped you will delve into some of these in your
studies, in school or out.
Applied biology is a growing field. For example,
a real problem today is pollution. Its correction
and prevention can come about only if all of us
know and observe the basic laws of ecology. Soclology, people living together, is only a part of
ecology, all things living and thriving together.
Whether we become a doctor, salesman, a factory
worker or whatever, we can become a better, happier person if we know the living things around us.
For those who are about to go on to further
studies, Biology should be part of them. No matter
what your chosen field, it can help you if only as
an escape, a hobby. And do remember reading
about living things, hearing about them, seeing them
in pictures is no substitute for the real thing. To
get out and live with them is to make them truly a
part of your life. People, animals, plants, they are
our heritage. t

LIFE CAN BE ENJOYABLE

All living is a challenge. Nature has no room for
loser,: sooner or later the unfit are discarded what about you? Man, a social animal, has created
a complicated pattern for living: where will you fit
in? How can you have a happy, rewarding future as
an essential part of humanity, working with those
forces that lead us forward and, we hope, upward?
Too often we blame the past generations for
errors, but no one can undo the events of yesterday.
Some mistakes are irreparable and all we can do is
make today better so that tomorrow will give us
fewer regrets. Nor can we escape from the technical society. No longer can one get away into the
wilderness and live his own life cut off from other
people, as we sometimes wish to. The more one
learns about life and living, the more one can enjoy
it, and as we explore the biological sciences doors
are opened that give a deeper meaning to our everyday life. Biology, the study of life and living, does
not have all the answers, and it never will. But it
can help you, an individual, fit into living, so that
in the fifty-odd years ahead, you become cognizant
of self, and in sympathy w.ith people and the living
world around you.
A young gas station attendant, a senior high school student, remarked to me this past summer. "I
wish I had the chance to learn about plants and
animals. I'd like to go into biology." I pointed out
to him although Biology is not particularly recommended as a career it does open the way to a deeper,
fuller understanding of one's environment, for an
appreciation of how natural things live and react
can help us to live better in the natural environment
we too are part of.
One obvious aspect of the immediacy of Biology
is the concern for plants that produce a major part
of our food supply. Farmers, gardeners, nursery
men need to "know about plants".
BIOLOGY HAS MANY BRANCHES

Zoology, the science of animal study, gives us an
insight into the animal world, our world too: man
may be divine, but he is also an animal. Birds,
their songs, their migrations, the many facets of
their lives are fascinating subjects. When a moth
bumps against a lighted window of a late evening,
when a butterfly sips nectar from a flower, our interest is aroused. Entomology, the study of insects,

25

'

�CLUES
Across
1. (12,5)

9. (3)
10. (5)
12. {3)
13. (5)
14. (5)
16. (5)
18. (5)
19.
21.
22.
24.
25.
27.

(7)
(5)
(5)
(4)
(3)
(4)

The distance from earth to sun is
one of these
See 2 down
Quadratic solutions useful to plants
An unknown angle - the 21st Greek
letter
Einstein ... a unified field theory just
before he died
The reflectivity of a fabric
Viscera and other bits
When fruits do so, there is a synthesis
of fructose
The father of sterilization
A high-pressure man
Interference used by a piano tuner
Gas for a sign at no. 10
A current measure
15 over 30

42.

Down
1. {6,3,8)

2. (3)
3. (5)
4. (4)

5. (4)
6. (5)
7. (3)
8. {70, 7)

10. (5)
11. (5)
13. (5)
15. (5)

17. (4)
19. (7)
20. (7)
21. (5)

28.
29.
30.
32.
34.
35.

(4)
(4)
(4)
(3)
(4)
(4)

37.
38.
39.
41.
44.

(4)
(7)
(5)
(5)
(5)

45. (3)
47. (5)
48. (3)
49. (7,

A leading actor in the night sky
A bitter liliaceous genus
Phragmites communis in a clarinet
The cry of the genus Corvus
Acid magnesium silicate
The useless male of a hymenopterous
or human species
A usually fast ungulate
What the fruit does to the pip
Rough points of lands
A mechanical man
A chair carried on two poles which
had a great influence on 19 across
A charge-carrier
A large ungulate with a
short elephant-like trunk
Archimedes lived long this
7OJ The powers of e that equal the
numbers in question

/5/ #

Equal mechanical concepts that are
always mutually contrary
If 2 across were to run down, it would
begin to 2 down sideways (viz: precession)!
An auricular window
When new, I am nearly black, but the older
I get, the more I shine until I'm full
More than one Fe/is
Kelp is a plant found here, relative to
the surface
Not exactly Maxwell's daemon, but a
close relative
Elementary laboratories provide basic
skills in their use
A palindromic electronic device
A low woody plant (or a drink)
The area drained by a river and its
tributaries
The position of fluorine in the table of
elements
The leaf-bearing axis of a plant
The fifth member of the methane series
Do chemists use them to answer back?
A geological structure associated with
salt and oil is sometimes this

23. (5)
25. {3)
26. (3)
31. (5)

33. (4)
34. (5)
36. (5)
37. (5)
40. (5)
41. (5)
43. (4)
44. (4)
46. (3)

48. (3)

Lactuca sativa often forms the
main part of this green dish
A spark between carbons
A foot of one 5 down
Chemicals of current
controversy
Jelly for growing "bugs"
A projection that fits a mortice
Parliament has power to make
laws, e.g., about 31 down
To cut off
The track of four 26 downs
In a circle, we all measure the
same
The rank of Bertrand Russell
(he was third)
To produce related frequencies with
the vocal chords
A hard dry indehiscent fruit formed
from a syncarpous gynaeceum; and
an eccentric
Fraxinus excelsior; and what is
left after it is burnt

Solution in next issue (or in desperation,
Phone: 807 - 345-2121, Extension 529)
26

�CRYPTIC CROSSWORD

NO TRICKS, NO ANAGRAMS. AN ADVANCED CLASS PROJECT MAYBE?

1

2

3

6

27

7

8

�COMPUTER CENTRE TOURS
Academic use of the computer slows down during
April, May and June - this is convenient for the many
groups of visitors who come at this time. Computer
Centre tours are given to high school, pub Iic school
and any other groups who wish to come. In addition,
for the last two years a typewriter terminal has been
circulated through a number of Thunder Bay High
Schools - spending a week or two weeks in each.
Connected to the Computer by telephone this terminal gives students an opportunity to use the university APL system in the school environment. Their
teachers have been making good instructional use
of the system.

3.

Watch that there is a symbolic solution
followed by the tabulation of data. A problem without symbolic solution can receive
no more than 60% of the marks remaining
after (1) and (2) .

4.

Watch the numerical solution for powers
of 10, irrational numbers, and wrong units.
An answer like 18,000,000 is not acceptable,
because it does not specify the number of
significant figures. An answer like 18,000,000
± 2% is acceptable.

5.

Never deduct a mark without making a
comment. However brief, make a comment.
DO NOT USE! or ? on their own.

ACADEMIC COMPUTER SERVICES
ACADEMIC USER'S GUIDE

THE BLUE GOURAMI

The Academic User's Guide has been updated.
Last year due to budget restrictions one copy only
was sent to each department. This proved unsatisfactory in that many of these copies got lost and
never surfaced again. This year all academic users will get a copy.

(Continued from page 24)

APPENDIX
A.

42

1. Rubbing

CONSULTATION SERVICE

Users (or non-users) requiring advice or information related to academic usage of the computer
should contact the manager of Academic Computer
Services (Mr. Watson, Ext. 383, Room MB1040}
between the hours of 9:00 a.m. - 12:00 noon,
1:00 p.m. - 5:00 p.m. Mr. Davis (Ext. 316, Room
MB1039} is also available for consultation during
the same times.

X

35

11

X

35

13

X

35

12

~

2. Clasping

50

T38""
46

3. Spawning

138

B.

Chi Square

( Observed • Expected) 2

1. Rubbing

(13-11) 2
11

0.36

2. Clasping

(10 • 13) 2
_ 1_3 _ _

0.69

3. Spawning

(12 • 12) 2
12

0.00

Expected

A DOCUMENT FOUND IN A COPPER
CYLINDER
PHYSICS
RULES FOR MARKERS

1.

Expected

x2

It is necessary that the solution to a problem
contain all connecting steps, written in more or
less comple'te English. No problem without these
steps can receive more than 60%.

C.

d f

.36

+

.69

.00

+

degrees of freedom
(Rows - 1) X (Columns - 1)
(2 - 1)

X

(3 - 1)

2

2.

1.05

A diagram must appear in all problems. No
problem without a diagram can receive more
than 60% of the marks remaining after (1 }.

The End.

28

�LAKEHEAD UNIVERSITY
MATHEMATICS GAZETTE
serving Northwestern Ontario

Vol. II No.2

29

�EDITORIAL

HINTS FOR BEGINNING TEACHERS

By W. Eames
It is in one sense a sad occasion to see the
Lakehead University Mathematics Gazette (serving
Northwestern Ontario)swallowed up in a more
comprehensive publication. On the other hand, it
has truly been a pleasure to see the demand for it
grow, and to hear expressions of gratitude from
those who have been kind enough to call it useful.
We will continue to be available to assist your
new editor, Dr. Hart, in every way possible, and we
should like to take this opportunity to exhort our
readers to continue sending in articles just as before.
Our thanks go out to those who have generously
contributed their articles, and time, in past issues.

When Professor Black told me that I would be
expected to offer you suggestions - helpful hints
he calls them - on the teaching of Mathematics,
my first impulse was to leave town. I had no suggestions whatsoever, other than the obvious ones
like "don't assign any problems you can't do" and
"when you haven't had time to prepare a lesson,
give a test". But you are as familiar with these
strategems as I am, so I asked my first year class
here to help me. I asked them for any suggestions
they might have regarding the teaching of Mathematics in High School; in my article I will
simply pass these suggestions on and comment
on them.
Several students mentioned the "different terminology" used here; we really should get together
and decide on a common nomenclature, but it
shouldn't be necessary. Most of Mathematics is,
or will be, couched in the terms of N. Bourbaki,
and these are what we use here. Many of you are
familiar with the work of L. Felix in bringing Bourbaki to the schools - indeed, she is required reading for most Mathematics teachers in Europe and
undoubtedly had great influence here. Difficulties
over terminology are absurd, but can involve a
student in real difficulty.
Many students mentioned that their teachers had
used tutorial and seminar methods with great success,
that their teachers had encouraged them to use the
school library, to actively participate in learning, and
to study well outside the syllabus. But most students appear to have had an arid time of it; "more
watching than doing" is a phrase one of them used
that sums it up for the majority.
Many students were quite bitter about the lack
of enthusiasm of their teachers, but I should think
this is not a problem with younger teachers. I merely suggest that you consider breaking the class into
small groups which would discuss problems, with the
teacher intervening only if asked. (Several students
mentioned that this is done at Lakeview and is a
great success.) I suggest teacher-aided discovery,
more library projects (one of our better students
informed me that she had never seen the inside of
her school library!) and more willingness to go off
the beaten track. Why not have them consider some

L. Dale Black

30

�simple game theory (does your library have a copy
of the "Compleat Strategyst"?),give them topics
like "the groups generated by various wallpaper
patterns", "modern geometries': "the relations
between simple switching circuits and logic". Even
number theory can provide interesting and elementary topics - Davenport's book The Higher Arithmetic is a good source here. Perhaps your library
subscribes to the Mathematical Gazette - if not,
it should, and there is a very interesting book
published by Unesco in 1966 - New Trends in

not 0. How do we use such a condition? The
obvious answer is we must divide by a. This is
our reflex action when confronted by a non-0
number. (As an aside, if it's a calculus problem,
we use I a I as the £ in a continuity or convergence argument. Perhaps this is the only difference
between algebra and calculus - the way we use
non-0 numbers.) Thus, we look around at the
surrounding facts to find something to divide a
into. It is by the continual repetition of points
like this that develop a student's intuition and
powers of analysis.
So, your students must be given a feeling
for the mechanics of a proof; it is not enough
for them merely to be able to reproduce a proof.
And, most important, they must realize that Mathematics is proving; it is not manipulating numbers
and substituting for x and comparing with the
answers in the back of the book. It is a game you
play with abstract concepts which_ you bend to
your will; it is a game they must enjoy. t

Mathematics Teaching.
Another minor suggestion: students here often
have trouble taking notes in lectures; they have no
practice in this. It might be worthwhile to give
informal talks during which the students are expected to take notes. It will be hard in the beginning. Some students will find it impossible (you
may be surprised - some very good students just
cannot absorb oral information), but it will be
rewarding, even for those who do not continue on
to University.
Now, let me come to the major suggestion. Nearly
all my students found this fault in their previous
schooling; there was not enough theory, there was
too much emphasis on numerical working, type
problems and unthinking manipulation. One mentioned that "Math in school is arithmetic". I hope
this was an exaggeration. When it came to a proof,
quote, "Math teachers told us to memorize" again
' teachers ask, "do you understand this proof", then
laugh and say - "if you don't understand it, don't
worry about it" '.
This is unforgivable. Mathematics is thought,
proof and deduction, not blind manipulation of
meaningless squiggles, and all of us here know that.
Tell your students - if you don't understand a proof,
do worry about it. As teachers, you must help them
in analyzing proofs. Point out the common guideposts in a proof. Why does the proof proceed
this way? Can you think of any other way it
could go?
Point out the various options which are open
at each stage of a proof: is the next step in the
proof inexorable? is it the only reasonable path
to follow? Try a few blind alleys. Point out
where each of the given conditions is used. Are
any of the hypotheses used twice? Are some
,never used at all? (I aways feel a proof is unsatisfactory if any condition is used more than once it is certainly not a pleasing proof if it is not
economical - and certainly the statement of the
theorem is unsatisfactory if some condition is
never used.) Suppose, in some theorem, we have
the condition that a certain number, say, a, is

COMMENTS ON THE SNOW
PLOW PROBLEMS

The article on snow plow problems contributed
by Professor Math imaki to "The Gazette, volume 3 has
aroused some favourable fan mail but not, regrettably, a simple solution to the second problem as
requested. The learned professor would still like
to obtain such a solution so please, if you have
any thoughts on the subject send them to the
editor.
As far as we know, the second problem - the
one involving two snow plows - has never been
published before. The first problem appeared in
"Ingenious Mathematical Problems and Methods"
by L.A. Graham (Dover Books), and as E275 in
the American Mathematical Monthly, the solution
being in the December 1937 issue; we are indebted
to Mr. L.j. Upton of Mississauga for these references.
Professor Mathimaki first encountered the problem
in a pub, in Kingston. It seemed to be fairly wellknown to calculus students at Queens in the fifties.

(We would like to know where Mathemaki bought his
second plough, which appears to have the capability
of travelling faster than light! - Ed.)

31

�WHO NEEDS A COMPUTER!
If clearly written APL notation can be a help in
communicating mathematical ideas - why does one
need a computer at all when using APL as a teaching
aid? Dr. Paul Penfield of M.I.T. in a recent paper on
his use of APL as a notation in an Electrical Engineering course reported that his students felt they learned
little from going to the computer. They learned most
from clarifying their thoughts into APL before they
reached the computer. Of course, the same fact is
true for a student writing in FORTRAN - he learns
most while writing his program not while running it even though it is more difficult clearly to express
one's thoughts in FORrRAN.
The computer really serves two purpose here;
firstly it motivates the student to write his program
since he can make use of it; secondly it tirelessly
tests his work, isolating mistakes and correcting
misconceptions.
The computer is still a glamorous creature to
many students who are eager to use it. Many thoroughly enjoy using APL. It is, however, only a tool.
What matters most is not the machine, but the thought behind what it is used for. t

The success of APL/360 as a computer system,
while effectively spreading the use of the language,
has considerably obscured its purpose. APL was
intended originally to simplify communication
between human beings, both as a publication and
a teaching notation. Common features of problems
being solved by computer were represented by
powerful new primitive functions, enabling concise
and elegant descriptions of algorithms to be produced.
Iverson, the author of APL, also demonstrated
that his notation could be used to describe the
computer itself. In 1962 he published the paper,
"A Common Language for Hardware, Software and
Applications'~ and in 1964, together with Falkoff
and Sussenguth published "A Formal Description of
System/360". This latter paper concisely described
the hardware operation of the I BM System/360
computer.
APL was therefore being used as a publication
and teaching notation before any computer implementation. In fact the language was called "A Programming Language" and not "A Computer Programming Language".
Iverson also intended that his notation should
have an impact upon Mathematics as well as Computer Sceince. The language is a development of the
notation of Algebra. Ambiguities have been removed,
useful functions added and a more unified approach
to the manipulation of arrays provided. Iverson has
successfully used his notation in the teaching of
Mathematics - again without necessarily using a
computer. He has also published texts in both Elem-.
entary Algebra and Calculus using APL notation.
One might expect to find others using APL as a
useful notation in Computer Science, Mathematics
and mathematically based disciplines. So far, however the use of APL as a notation has been small.
Without the dramatic success of APL as a computer
programming language, the notation might have been
ignored for a good many more years.
The first computer implementations of APL were
produced as an experimental aid to the development
of the notation. From that point APL also became
a means for a human to communicate with a computer, rather than another human. APL/360 in
particular very quickly had great success as a computer programming language and system. Users
became enthusiastic over their interactions with the
computer to such an extent that they lost interest
in communicating with each other. It is unfortunate
that all present APL implementations execute programs faster when the program is made more difficult
to read. This has further obscured the real purpose
of APL.

INTRODUCING THE NEW
COSTING SYSTEM
Users will find their output contains some
new statistics including a dollar cost. These
statistics refer to the new charging system which
will be run concurrently with the old system for
a trial period.
An extensive study has been made to obtain
realistic and accurate charging for every aspect
of computer usage. Use of the fast core will cost
more than use of slow core. Usage during peak
periods of the day will be more expensive than
overnight runs. APL users will be charged half the
previous rates per connect hour - but charges will
be made for CPU time and workspace storage.
Overall, the computer centre expects that charges
for computer centre services will not change
substantially.
If the costs are similar - why have a new costing
system? We need as realistic and fair charging
scheme as possible for the benefit of external userswhose use of facilities is expanding.
The new scale of charges is contained in the
Academic User's Guide section 2.4.

32

�COMPUTER SCIENCE IN THE SCHOOLS
By

J. S. Griffith

I feel that all children should know something
about the nature and uses of computers in our
present day world. Rather than start by a general
discussion of computers or a history of their evolution, I consider the first step in such a program
should be to get the class to run programs on a
"real live" computer, either individually or in groups.
These programs can be devised by the teacher,
but should demonstrate something of the speed and
storage capabilities of modern computers. Let me
assume for the rest of this article that access to
the Lakehead University Computer Centre (either
by the physical presence of students at APL terminals or by preparing punched cards and FORTRAN
programs) is possible.

JA=KA-IA*10
PRINT, JA
IF{I.LT.100) GO TO 1
STOP
END
Try your own program for addition using tens and
units - remember to test for carry of one.
C

SIMPLE L&lt;l)&lt;l)P
l=D
1=1+1
IF {1.EQ.11) G&lt;l) T&lt;l) 2
PRINT, I

INTRODUCTORY PROGRAMS
C

GQ T&lt;l) 1

WHAT IS HAPPENING?
2

A=l

ST&lt;l)P
END

8=2
C=3
D=A+B+C

C

PRINT, A,B,C,D

10

G.C.F. OF 75 AND 120
1=0

8

J=25-I
IF{120/J*J. EQ. 120. AND.75/J*J.EQ.75)
PRINT, J

D=B/C
PRINT, A,B,C,D

1=1+1

STOP

IF {I.LT. 75) G&lt;l) T&lt;l) 10

END

ST&lt;l)P
C

END

SEPARATION OF 100 NUMBERS INTO
TENS AND UNITS
C

l=O

Fl RST 20 MULTIPLES OF 2,3,4,5,6,9, 10
PRINT, 'MULTIPLES OF 2--OF 3--OF 4-OF 5--OF 6--OF 9--OF 10'

READ, KA

N=l

PRINT, KA
1=1+1

5

N2=2*N
N3=3*N

C

FINDING THE TENS DIGIT

N4=4*N

IA=KA/10

N5=5*N

PRINT, IA

N6=6*N
N9=9*N

C

FINDING THE UNITS DIGIT

N10=10*N
(Continued on next page)

33

�asking him to figure out what it does, then run it: discovery by experimentation).

PRINT, N2,N3,N4,N5,N6,N9,N10
IF (N.LE.20) TQ T(/) 5
STOP

References include:

END

Computers and high school teaching,
J.S. Griffith, Lakehead University

Once they have used the computer, there should
be sufficient material available to demonstrate,
from their programs, the organization of arithmetical
operations, branches, loops, flow charts. Then one
can look at non numerical applications e.g. flow
charts for biological development, getting to school
in the morning, dancing, setting up a tent, using
timetables, dictionaries, literary card indices.
This may be followed by work on the social
impact of computers e.g. data manipulation (payroll, accounting), data banks and information retrieval (medical records, criminal records, license
plate records, libraries, stock control), real-time and
on-line control (seat reservations, banking, machine
control of production processes), problem solving
and models of physical situations (nuclear reactorssafer to test models numerically than physically;
stellar models - impossible to build in a laboratory
or wait a billion years to observe evolution, weather
forecasting), future possibilities. Ask the class to
try to find a large company or manufacturing concern that does not use computers. Look at family
bills for evidence of computer activity.

Fortran IV with WATFOR and WATIV,
Cress, Dirksen, Graham, Prentice-Hall
Ten Statement FORTRAN plus FORTRAN IV,
Kennedy and Solomon, Prentice-Hall
and, of course, any other books you can find. The
pages of the "Gazette" seem to be an appropriate
place for the interchange of ideas and programs. A
reference for the future impact is C.S. Wallia "Toward Century 21" Basic Books. t

SQUARE PROBLEM
Suppose that you have a square room and that
you wish to tile it with square tiles, not necessarily
all of the same size. How many tiles could you buy
to do the job and not have an excess? For example,
could you tile the room with 6 tiles? 9 ·tiles? 5 tiles?
Certainly you can always tile the room with 1 tile.
Determine for which positive integers n you can
tile the room with n square tiles.
- J.H.M. Whitfield

Other topics include:

The sort of jobs associated with computers
(operational staff, data preparation, data control,
tape librarian, computer operator, programmers,
systems analysts and designers, and engineers).
History of computers, (abacus, addition and multiplication tables, slide rule, desk calculator, accounting (Hollerith) machines, digital and analogue computers. Values, transistors ... )
Numerical analysis (how do errors propagate in
various operations, linear equations, numerical integration, (f (x) =0), statistics.
How computers work - logical principles (Boolean algebra and Turing machines via functional
matrices), construction of simple circuits.
Data processing (Systems analysis, fast finding,
form designs, design of data collection, report writing, systems flow charts, decision tables, programming, coding, testing, documentation, implementation.
File handling, editing, relating, up-dating on magnetic
tape, cards or disc. Sorting and collating files, information retrieval, data banks, terminals. Data
transmission, invoicing with sales analysis, payroll,
medical records).
Many other programs may be obtained from the
following references (try giving the child a program,

WHAT'S WRONG HERE?
Below, a "proof" is given that all triangles are
isosceles. Take a triangle ABC. Let s be the bisector
of i: ACE and n the perpendicular bisector of AB.
Let E be the intersection of s and n.

c

Consider

i:
B
D
n

MDE and /J.BDE.

We have
AD
ADE
DE

Therefore

1

BD
BDE
DE

MDE

Consider now

= /J.BDE.

MEC and

/J.BCE.

From (1), we obtain

AE

BE.

Furthermore,

CE

CE,

i:

ACE

= i,BCE.

Since both~ CAE and ~ CBE are acute, we conclude
that /J.AEC= ABCE, and therefore AC= BC.
This means MBC is isosceles. Of course, we know
that not every triangle is isosceles, so something in
this "proof" must be wrong.
Can you find out what?

34

�EXPERIMENTAL GEOMETRY

[ FIGURE 1)

B

B'

ol----------------------Io·
~

A

Take a rectangular paper strip, A A' BB' {Fig. 1).
Draw a center line DD' 11 A A'. Now twist it once,
as in Fig. 2.

[ FIGURE 2 J

B

Without a further twist, put the edges A Band B' A'
together, such that A and B' coincide, and A' and
B {Fig. 3).
Glue it along A B. Then cut it through along DD'.

A'

oJ-------~------ Jo·
A

B'

[ FIGURE 3)

What happens? What happens if, before gluing,
you twist it once more {Fig. 4)?

[ FIGURE 4)

FIGURE 1

C'

D'

FIGURE 2
E,E' - - - - - - - - -, - - - F ,F'
............... D,D'
.c,c'.,..,..,..,.

__________

,

,I

,,

Draw Fig. 1, where ABCD and ABCD' are squares,
ADE, AD'E', BCF, BC'F' equilateral triangles. Add
the shaded pieces for later gluing. Cut the figure out
and fold it along the thick lines. Then glue it together
such that D and D', C and C', E and E', F and F'
coincide {Fig. 2). Do the same thing once more, so
you get two congruent solids. Can you put them
together to form a regular tetrahedon {a pyramid
whose faces are four congruent equilateral triangles,
Fig. 3)?

I

A

FIGURE 3

35

�COMPUTERS PLAY CHESS:

CAN YOU DO BETTER?

United States Computer Chess Championship
Boston, Massachusetts
August

13- 15, 1972

WHITE: Northwestern University

BLACK: Columbia University

(Larry Atkin, Keith Gorlen, David Slate)

(Monty Newborn, George Ar.r'lold)

Computer: CDC 6400
Location: Evanston, 111.

Computer: Data General Nova 800
Location: Sheraton-Boston Hotel

Time

1.

2
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.

Time

White

(sec.}

Black

(sec.}

P- K4
N-KB3
P- Q4
NxP
N-KB3
N-83
Q-Q2
N- Q5
P- QN4
P- B3
NxB
B- B4
BxB
N- N5
0- 0
N- B3
R- Ql
Q- K2
B- N2
N- Q2
P- QB4
Q- Q3
P- N3
B- R3
R(Rl}-Nl
R- Kl
K- N2
P- R3
R- N3
K- R2
Q- K2
R- KB3
P- R4
K- Rl
K- N2
NxR
B- B1
B- N5
B- Q8

( 1)
( 1)
( 1)
( 1)
(235)
(140)
(199)
(181)
( 74)
( 64)
( 49)
( 99)
( 69)
( 92)
(115)
( 56)
( 56)
(115)
(108)
(135}
( 95)
( 91)
{119}
( 70)
(122)
( 88)
( 75)
( 80)
( 94)
(115)
(101)
(130)
( 80)
( 88)
(110)
( 65)
(108)
(106)
(176}

P- QB4
N- QB3
PxP
P-K4
Q-N3
B-B4
P-Q3
Q-Ql
B- Q5
B- N3
PxN
B- K3
PxB
Q-Q2
P- KR3

1)
1)
1)
1)
( 1)
{269)
(227)
(144)
(143)
(147)
( 44)
{207)
( 39)
( 87)
( 58)
(220)
(245}
(230)
(195)
( 67}
(246}
(154}
(162)
( 90)
(257)
( 89)
( 69)
(257)
( 63)
(249)
( 94)
( 63)
(249)
( 78)
{216)
( 52)
(251)
( 63)
{286)

0- 0- 0
N- B3
Q- QB2
N- K2
P- Q4
P- Q5
N- N3
Q- K2
K- B2
R- R2
R- Q2
Q- Ql
N- Nl
Q- N4
R- B2
N- B3
P- R4
N- N5
Q- K2
RxR
Q- B3
K- Q3
Q- B2
R- Rl

Time
White

40.

41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.

73.
74.
75.
76.
77.

36

(sec. }

(157)
BxP
N- N5
( 97)
P- N5
(185)
(195)
R- QNl
( 94)
R- KB1
(173)
Q- B3
( 78)
Q- R3
(135)
B- B5
N- B7
(146)
R-Bl
(155)
( 26)
N-Q6
(110)
P-N6
R-Kl
(149)
K-Nl
( 36)
R-KBl
(110)
N- B7
( 99)
NxR
(106}
P- B3
( 56)
K- B2
( 67}
( 96}
R- QNl
K- N2
(109}
(100)
K- B2
R- N5
( 88)
R- N2
( 78)
(234)
Q- N4
( 80)
Q- N5
( 85)
R- Q2
( 39)
PxQ
( 74)
R- Q3
P- R4
(129)
P- R5
( 79)
P- R6
( 50)
PxP
(138)
P- R7
(105)
( 52)
R- R3
P- N7
( 27)
P- R8=Q ( 32)
R- R7 Mate( 33)

Time
Black

(sec. }

K- K2
Q- Kl
Q- QBl
R- KBl
R- K1
R- B1
K- Q2
R- Rl
R- R2
N- R3
Q- B2
Q- B3
R- Rl
N- N5
R- R3
QxP (K4)
NxN
Q- QB3
K- Ql
Q- Q2
N- B4
Q- Bl
K- Q2
K- B3
K- Q2
Q- B3
QxQ
K- Ql
N(N3) - K2
P- N3
K- Q2
PxP
K- B1
K- N2
K- Rl
KxP
K- B2

( 63)
(241)
(111)
( 82)
(335)
(135)
( 82)
( 94)
(104)
( 88)
(234)
( 69)
(126)
(116)
(299)
(151)
( 75)
(102)
(128}
(119}
( 75}
(232}
( 99)
(288}
( 80)
( 39)
(227)
( 60)
(165)
( 66)
(211)
( 57)
(231)
(129)
( 85)
( 1)
( 1)

�AN EXPERIMENTAL STUDY OF
MATHEMATICS LEARNING

A COURSE OF GEOMETRY FOR
COLLEGES AND UNIVERSITIES

Pub. 1963 - Hutchinson &amp; Co. Ltd.,
London.

Pub. 1970 - Cambridge University
Press.

Z.P. Dienes

D. Pedoe

This book would be suitable for students
specializing in mathematics for elementary
teachers. It would also be a good reference
book for students of child psychology.
Dienes's treatment of mathematical concepts
learned as a function of play is fascinating, but
rather too intricate for the general student.
The book is certainly thought-provoking although one who has little background in mathematics might find it difficult to follow.
The chapter on educational implications is
significant and would be worth-while reading
for any teacher.

Many of us, having studied under graduate mathematicians at a time when geometry was at a low ebb,
find ourselves short of examples, intuition, and a
sense of direction about how high school geometry
can be developed and directed. This book was
written as a text for the undergraduate course we
should have taken and can assist us in picking up
some of the ideas which are at the heart of geometry.
The book is a large collection of elementary geometry in its many forms. Though the author concentrates on analytic geometry, including some use
of vectors and a prelude to algebraic geometry, he
uses a variety of approaches in proofs of the basic
theorems, including pretty synthetic constructions
when these are appropriate. The various chapters
tend to be a bit disconnected, which makes it hard
to see the material as a unified whole. However
this situation does make it possible to dip into the
middle sections on mappings of the plane, without
extensive reading of the preceeding sections on
coaxial systems etc. All of the essentials of euclidlean goemetry and projective geomentry are presented in some detail and there are regular, if somewhat difficult, exercises. Several sections, such as
the nine point circle, or a pretty section on reflections, could even be read by high school students
as they stand.
This book is a fine reference and source book at
a time when we need all the geometric intuition we
can get, in order to digest the abstractions which are
piling up around us.

D. Botly

HOW CHILDREN LEARN MATHEMATICS
Pub. 1970 - The Macmillan Co.
New York
Richard W. Copeland
Copeland's stress on the learning of mathematics
rather than on the teaching is directly in line with
the type of programme advocated by an increasing
number of educators and classroom teachers.

"How Children Learn Mathematics" would
make excellent preparatory reading for any course
for teachers of elementary mathematics.
Although the works of Piaget are very detailed,
Copeland has developed Piaget's approach clearly
and concisely and applied it to the teacher's role
in a way which is sure to help any teacher who
reads this book. Copeland achieves a fine balance
of theory and practicality.
This book should be available for all Education
students in the elementary field.

Walter Whiteley

D. Botly

37

�n
0

0

Figure 1

Figure 2a

Figure 2b

A PERPETUAL PROBLEM

Every common mechanic has something to say
in his craft about good and evil, useful and
useless, but these practical considerations never
enter into the purview of the mathematician. 1
With the above in mind, one may be enticed to join
Jean Bernoulli, Sr., and Leonardo da Vinci for a few
minutes and enter the realm of the perpetual-motionmongers. 2

g

~

Though it is an unpromising venture from a physical
point of view it can be entertaining mathematics.
Consider a U-shaped vessel made of a non-flexible
material, such as a tin can, with a heavy steel ball
inside and covered on top with an elastic, watertight
lid as shown in figure 1. Observe that when this
container is placed under water the amount of the
water displaced - and hence the buoyancy - is
dependent on its position; when upright as in figure
2a the lid is pressed inward by the water pressure,
while when the container is upside down as in 2b,
the weight of the ball stretches the cover outward
thus increasing the buoyancy. Attach an even number of these containers to an endless belt on two
pulleys as shown in figure 3 and submerge the
entire system under water.
Aristippus of Cyrene, quoted by HICKS, R.D.
"Stoic and Epicurean"; (New York, Charles
Schribner's Sons, 1910) p. 210
2

Encyclopaedia Britannica, 1967, Vol. 17, p. 639-41

Figure 3

38

�Competition
This is an open competition in which EVEN TEACHERS may compete!

FILL ME IN AND MAIL ME TODAY!

NAME
ADDRESS

AGE, IF UNDER 21

Write numbers in order of preference

I would like to read articles on:

Pure Science
Applied Science
Technology
Jobs
People &amp; Personalities
Sports
Puzzles
Music
Games
Other _ _ _ _ _ _ _ __

MY OPINION OF THE FIRST ISSUE OF "CARET" IS:

A GOOD TITLE FOR "CARET" WOULD BE

( THANK YOU FOR HELPING US. - The Editor )

39

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&#13;
Articles on a variety of topics:&#13;
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Interview with Lakehead University Glassblower Ken Sumpter&#13;
Whisky distillation in Scotland and Ireland&#13;
Opinions of Science at LU&#13;
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