The Art of Logical Thinking; Or, The Laws of ReasoningAtkinson, William Walker
Philosophy
The Art of Logical Thinking; Or, The Laws of Reasoning
Atkinson, William Walker
Logic; Reasoning
I. "Whenever we can alter the quantity of the things experimented on, we
can apply _a rule for discovering which are causes and which are
effects_, as follows: We must vary the quantity of one thing, making it
at one time greater and at another time less, and if we observe any
other thing which varies just at the same times, it will in all
probability be an _effect_."
II. "When things vary regularly and frequently, there is _a simple rule,
by following which we can judge whether changes are connected together
as causes and effects_, as follows: Those things which change in exactly
equal times are in all likelihood connected together."
III. "It is very difficult to explain how it is that we can ever reason
from one thing to a class of things by generalization, _when we cannot
be sure that the things resemble each other in the important points_....
Upon what grounds do we argue? We have to get a general law from
particular facts. This can only be done by going through all the steps
of inductive reasoning. Having made certain observations, we must frame
hypotheses as to the circumstances, or laws from which they proceed.
Then we must reason deductively; and after verifying the deductions in
as many cases as possible, we shall know how far we can trust similar
deductions concerning future events.... It is difficult to judge when we
may, and when we may not, safely infer from some things to others in
this simple way, without making a complete theory of the matter. _The
only rule_ that can be given to assist us is that _if things resemble
each other in a few properties only, we must observe many instances
before inferring that these properties will always be joined together in
other cases_."
CHAPTER XIV.
MAKING AND TESTING HYPOTHESES
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