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 function of induction seems to be to universalize particulars. The
mind of man has ever been engaged in establishing connections among the
concrete experiences of daily life. This ability of his to generalize
his individual experiences has been one of the chief agencies in
elevating him to the position of “King of the animal world.” In this
disposition to generalize man has taken it for granted that nature is
honest; that what she tells him under given conditions, she will tell
him again under identical conditions. To put it in logical terms man
can depend upon the _invariability_ of nature’s activities, or _upon
the uniformity of nature_. Here, then, is one of the most fundamental
laws not only of induction but of all activity. But this law implies a
second quite as fundamental. If every cause is invariably followed by
the same effect under like conditions, then it is thereby implied that
every cause has an affect and every event is due to some cause. This,
too, is invariable. In consequence of these facts man is justified
in thinking that nature is not only honest and therefore “she
gives me _confidence_, but her every activity _means something_ and
therefore she arouses my _curiosity_.” “Uniformity of nature” engenders
confidence, “universal causation” inspires the spirit of discovery
and with these two weapons man is willing to venture into the jungle
of the unknown. _Why is man eager to undertake the “inductive hazard?”
Because, through the laws of universal causation and uniformity
of nature, his curiosity is aroused, and he is given confidence in
nature’s activities._
=10. THREE FORMS OF INDUCTIVE RESEARCH.=
Induction is a matter of universalizing less universal experiences.
In this the process may assume any one of three forms, namely:
(1) Induction by simple enumeration; (_inductio per enumerationem_);
(2) Induction by analogy; (3) Induction by analysis.
THREE FORMS ILLUSTRATED:
(1) _Simple enumeration._
Having observed a few instances the generalization is, “All birds have
wings.” The certitude of this may now be strengthened by observing more
birds and finding without exception that each has wings.
(2) _Analogy._
By noting on Mars geometric markings which resemble canals, the
generalization is vouchsafed that Mars is inhabited by human beings.
Other similarities in atmospheric conditions, existence of land and
water, etc., tend to make this generalization more plausible.
(3) _Analysis._
By analyzing water taken from a certain spring, it is found to contain
hydrogen and oxygen in the proportion of 1 to 8; in consequence a
generalization to this effect is posited. Analyses of specimens from
other sources yield similar results and thus the generalization is
given greater certitude.
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