A Class Room Logic: Deductive and Inductive, with Special Application to the Science and Art of TeachingMcNair, George Hastings
Philosophy
A Class Room Logic: Deductive and Inductive, with Special Application to the Science and Art of Teaching
McNair, George Hastings
Logic
The term chance implies an inability to find a cause for any
particular event. Whenever we trust to luck, we do so through ignorance.
In reality every thing in this world is ordered _according to law_,
and if we possessed infinite knowledge concerning these laws, then,
for us, the word “chance” would have no meaning. One accomplishment
of knowledge has been to rationalize superstition and chance. “Not a
grain of sand lies upon the beach, but infinite knowledge would account
for its lying there; and the cause of every falling leaf is guided by
the same principles of mechanics as rule the motions of the heavenly
bodies.”――Jevon’s Prin. of Science, vol. I, p. 225.
That chance is a literal confession of ignorance, is a wholesome truth
for all to bear in mind. If we were not so ignorant of atmospheric
conditions, we would never be caught in the rain without an umbrella;
if we knew perfectly the laws of mechanics, we would not speed our car
and trust to luck that the car would hold together.
(2) Chance mathematically considered.
The principle of the “calculation of chances” has been discussed
elsewhere. It will be sufficient here to illustrate the principle from
a mathematical point of view.
Suppose that a jeweller desires to dispose of a ten-dollar watch
by a raffle. He may place a hundred numbers in a box, one of which
corresponds to the number on the watch. My chance of drawing the right
number is one out of a hundred and may be expressed by the fraction
1/100. The fact that I may draw the right number on the first trial or
on the last trial is immaterial. The real meaning of the ratio “one out
of a hundred” is, that in the long run, I shall _lose 99 times_ where
I gain but once. This implies, that if I pay 25 cents for each draw,
I shall in the end pay 99 times 25 cents for the watch, or I will have
paid $24.75 for a ten dollar watch.
(3) Chance and gambling.
In all forms of gambling no wealth is produced. What one man gains the
other man loses. In addition to this the institution which projects the
gambling scheme must be supported. In consequence, _more money must be
lost than can possibly be gained_. This leads to the conclusion that
on the basis of averages he who would gamble must terminate his career
“behind the game.” Statistics verify this conclusion.
(4) Chance and investments.
Interest, which is money paid for the use of money, is high when the
demand for money exceeds the supply and low when the supply equals or
exceeds the demand. The fact that the supply is short is largely due
to the lack of confidence on the part of the investor. This means that
he is unwilling to take the risk. Thus the principle: “_High rate of
interest, great risk; low rate of interest, little risk._”
=7. THE RATIONALIZATION OF POLITICAL AND BUSINESS SOPHISTRIES.=
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