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
It must not be supposed, however, that all hypotheses flashing into the
field of consciousness from the Subconsciousness, are necessarily true
or correct. On the contrary many of them are incorrect, or at least only
partially correct. The Subconsciousness is not infallible or
omniscient--it merely produces results according to the material
furnished it. But even these faulty hypotheses are often of value in the
later formation of a correct one. As Whewell says: "To try wrong guesses
is with most persons the only way to hit upon right ones." Kepler is
said to have erected at least twenty hypotheses regarding the shape of
the earth's orbit before he finally evolved the correct one. As Brooks
says: "Even incorrect hypotheses may be of use in scientific research,
since they may lead to more correct suppositions." The supposition of
the circular motions of the heavenly bodies around the _earth_ as a
center, which lead to the conception of epicycles, etc., and at last to
the true theory is an illustration of this. So the 'theory of
phlogiston' in chemistry, made many facts intelligible, before the true
one of 'oxidation' superseded it. And so, as Thomson says, "with the
theory that 'Nature abhors a vacuum,' which served to bring together so
many cognate facts not previously considered as related. Even an
incorrect conception of this kind has its place in science, so long as
it is applicable to the facts; when facts occur which it cannot explain,
we either correct it or replace it with a new one. The pathway of
science, some one remarks, is strewn with the remains of discarded
hypotheses."
Halleck says regarding the danger of hasty inference: "Men must
constantly employ imperfect induction in order to advance; but great
dangers attend inductive inferences made from too narrow experience. A
child has experience with one or two dogs at his home. Because of their
gentleness, he argues that all dogs are gentle. He does not, perhaps,
find out the contrary until he has been severely bitten. His induction
was too hasty. He had not tested a sufficiently large number of dogs to
form such a conclusion. From one or two experiences with a large crop in
a certain latitude, a farmer may argue that the crop will generally be
profitable, whereas it may not again prove so for years. A man may have
trusted a number of people and found them honest. He concludes that
people as a rule are honest, trusts a certain dishonest man, and is
ruined. The older people grow, the more cautious they generally become
in forming inductive conclusions. Many instances are noted and compared;
but even the wisest sometimes make mistakes. It once was a generally
accepted fact that all swans were white. Nobody had ever seen a dark
swan, and the inference that all swans were white was regarded as
certainly true. Black swans were, however, found in Australia."
Public-domain text, read in full here on John Shaqi.
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