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
Referring to the observed phenomenon of the outward movement
of the stars about Vega, the astronomer might advance as an
hypothesis the fact of the solar system’s movement toward
Vega. Having done this he could then experiment with a view of
verifying this hypothesis. In this experiment he would attempt
to introduce the same cause surrounded by similar circumstances,
and then watch for the same effect. To make it concrete: suppose
the astronomer paints the side of a barn dark blue and bedecks
this with stars of white. Then taking a position as far removed
from the blue surface as his eyesight will permit, he runs
toward the barn watching the apparent movement of the artificial
stars. A similar experiment could be performed by substituting
for the _starred_ barn, the stumps on a side hill. In both
experiments he assumes that like conditions will be followed by
constant results. That is, in these particular cases, advancing
toward a group of objects is always followed by an apparent
separation of said objects.
This law of uniformity of nature not only underlies inductive
thinking but it really conditions all thinking. It implies
that the universe is a rational system functioning in a uniform
manner. Moreover, it suggests that the interpretations of the
mind are likewise uniform and whenever the mind proves a fact
to be a universal truth, this truth will _always_ remain a
truth unless the conditions change. In fact were it not for the
uniformity of nature, all activity whatsoever would be rendered
nugatory. Because of this law we have a right to assume that
grinding a knife under right conditions will always tend
to sharpen it; that surrounding a live seed with a proper
environment will result in growth; that water at the same
altitude will boil at a constant temperature, etc., etc.
The student will discern the close connection between these two
laws and the laws of thought. There is really no distinctive
mark between the law of causation and the law of sufficient
reason, while “uniformity of nature” includes identity as
one of its distinctive features. The laws differ, however,
in their application, “causation” and “uniformity of nature”
conditioning inductive thinking, while the others are concerned
with deductive thinking.
Because “uniformity of nature” expresses facts of experience, it
is regarded as an _empirical_ law, as contrasted with the law of
causation, which is supposed to be based upon an innate mental
conception or is an _a priori_ law.
=9. INDUCTIVE ASSUMPTION JUSTIFIED.=
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