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
and, as the reader already realizes, logic needs to concern itself
mainly with this _regulative_ aspect.
=3. THE COMPLEXITY OF THE PROBLEM OF INDUCTION.=
The problem of induction is much more complex than that of deduction
because of these reasons: First. Deduction as a process of reasoning
was the only kind discussed by the logicians for _two thousand years_.
Aristotle is called the father of deductive logic and this Intellectual
Giant, the greatest of ancient time and possibly of all time, so
perfected the form of deductive reasoning that, up to the time of
Francis Bacon, no scholar possessed the temerity to gainsay its
supremacy in the field of logical reasoning. For twenty centuries
Aristotle’s Deductive Logic was the _Logicians’ Bible_. On the other
hand, inductive reasoning, though it was briefly discussed by Aristotle,
received little attention till the versatile Francis Bacon placed it
upon the stage of the thinking world. This makes deduction nearly two
thousand years older than induction. Time, by eliminating the personal
equation and exposing in various ways fallacious thinking, tends to
unify and universalize truth. Hence, logicians are agreed so far as the
fundamentals of deductive logic are concerned, but are still at odds
over the true conception and use of inductive logic.
A second reason for this confused status in the field of inductive
logic is the fact of its being more closely related to the events of
every day living. Induction is the natural method of childhood; the
popular method of the school room; and the most used method of common
life. In consequence its ramifications are so varied and multitudinous,
that it will take centuries of thinking to reduce the doctrine of
induction to that uniformity and definiteness which so distinguishes
deduction.
=4. THE VARIOUS CONCEPTIONS OF INDUCTION.=
The attending quotations will give the student a fair idea of the
leading conceptions concerning induction:
(1) “Induction is the process by which we conclude that what is true
of certain individuals of a class is true of the whole class, or that
what is true at certain times will be true under similar circumstances
at all times.” “Induction, as above defined, is a process of inference;
it proceeds from the known to the unknown.” “Any process in which what
seems the conclusion is no wider than the premises from which it is
drawn, does not fall within the meaning of the term.”――J. S. Mill, A
System of Logic, 1892, p. 175.
(2) “An induction is a generalization or an inference based upon
propositions that state observed facts.” “The truth inferred may be
general or particular, but it must be one which we cannot perceive in a
single act of observation.”――Ballentine’s Inductive Logic, 1896, p. 14.
(3) “Induction is the process of inference by which we get at general
truths from particular facts or cases.”――Ryland’s Logic, 1900, p. 148.
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