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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.

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4.
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Time

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(sec.}

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(sec.}

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Time
White

40.

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36

(sec. }

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(173)
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(155)
( 26)
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(149)
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( 36)
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(138)
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( 27)
P- R8=Q ( 32)
R- R7 Mate( 33)

Time
Black

(sec. }

K- K2
Q- Kl
Q- QBl
R- KBl
R- K1
R- B1
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R- Rl
R- R2
N- R3
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( 63)
(241)
(111)
( 82)
(335)
(135)
( 82)
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(104)
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(126)
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( 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;
The science of the body and athletics&#13;
Interview with Lakehead University Glassblower Ken Sumpter&#13;
Whisky distillation in Scotland and Ireland&#13;
Opinions of Science at LU&#13;
Overview of the Liberal Science Program and its courses&#13;
Students views of the Liberal Science Program&#13;
Reproductive behaviour of the blue gourami.&#13;
Biology and pollution&#13;
Mathematics Gazette&#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

~ -1111~'!:
..~
~:1 -

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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

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�ACROSS
1[9,8] Cobras, kraits and rattlers
10[ 7] Atoms in a crystal are
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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]
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A theatre for musical contests
sounds like a bad state to be in
A short physician

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35[ 5] '
37[ 7] A change of momentum
38[ 7] A dashing large wing covering
39[9,8] The function of ductless
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20[ 5 ] Watered mohair in an interference pattern
21[ 5 ] A helium nucleus begins an
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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
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36[ 4 l A famous account of heroic
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2[ 7 1 A whole number
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4[ 4] At an end
5[ 6] Norway Lobsters
6[ 4] Where dawn approximately is
7[ 5] Boulder clays or shales found
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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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SOLUTIONS

*

�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
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&#13;
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;
&#13;
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