Thought-Culture; Or, Practical Mental TrainingAtkinson, William Walker
Science
Thought-Culture; Or, Practical Mental Training
Atkinson, William Walker
Thought and thinking
Regarding the principle of _Inductive Reasoning_, Halleck says: "Man has
to find out through his own experience, or that of others, the major
premises from which he argues or draws his conclusions. By induction, we
examine what seems to us a sufficient number of individual cases. We
then conclude that the rest of these cases, which we have not examined,
will obey the same general law. The judgment 'All men are mortal' was
reached by induction. It was observed that all past generations of men
had died, and this fact warranted the conclusion that all men living
will die. We make that assertion as boldly as if we had seen them all
die. The premise, 'All cows chew the cud,' was laid down after a certain
number of cows had been examined. If we were to see a cow twenty years
hence, we should expect to find that she chewed the cud. It was noticed
by astronomers that, after a certain number of days, the earth regularly
returned to the same position in its orbit, the sun rose in the same
place, and the day was of the same length. Hence, the length of the year
and of each succeeding day was determined, and the almanac maker now
infers that the same will be true of future years. He tells us that the
sun on the first of next December will rise at a given time, although he
cannot throw himself into the future to verify the conclusion."
Brooks says regarding this principle: "This proposition is founded on
our faith in the uniformity of nature; take away this belief, and all
reasoning by induction fails. The basis of induction is thus often
stated to be _man's faith in the uniformity of nature_. Induction has
been compared to a ladder upon which we ascend from facts to laws. This
ladder cannot stand unless it has something to rest upon; and this
something is our faith in the constancy of nature's laws."
Public-domain text, read in full here on John Shaqi.
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