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
Brooks says of Inductive Reasoning: "The relation of induction to
deduction will be clearly seen. Induction and Deduction are the
converse, the opposites of each other. Deduction derives a particular
truth from a general truth; Induction derives a general truth from
particular truths. This antithesis appears in every particular.
Deduction goes from generals to particulars; Induction goes from
particulars to generals. Deduction is an analytic process; Induction is
a synthetic process. Deduction is a descending process--it goes from
the higher truth to the lower truth; Induction is an ascending
process--it goes from the lower truth to the higher. They differ also in
that Deduction may be applied to necessary truths, while Induction is
mainly restricted to contingent truths." Hyslop says: "There have been
several ways of defining this process. It has been usual to contrast it
with Deduction. Now, deduction is often said to be reasoning from
general to particular truths, from the containing to the contained
truth, or from cause to effect. Induction, therefore, by contrast is
defined as reasoning from the particular to the general, from the
contained to the containing, or from effect to cause. Sometimes
induction is said to be reasoning from the known to the unknown. This
would make deduction, by contrast, reasoning from the unknown to the
known, which is absurd. The former ways of representing it are much the
better. But there is still a better way of comparing them. Deduction _is
reasoning in which the conclusion is contained in the premises_. This is
a ground for its certitude and we commit a fallacy whenever we go beyond
the premises as shown by the laws of the distribution of terms. In
contrast with this, then, we may call inductive reasoning _the process
by which we go beyond the premises in the conclusion_.... The process
here is to start from given facts and to infer some other probable facts
more general or connected with them. In this we see the process of going
beyond the premises. There are, of course, certain conditions which
regulate the legitimacy of the procedure, just as there are conditions
determining deduction. They are _that the conclusion shall represent the
same general kind as the premises_, with a possibility of accidental
differences. But it goes beyond the premises in so far as _known_ facts
are concerned."
The following example may give you a clearer idea of the processes of
Inductive Reasoning:
_First Step._ Preliminary Observation. _Example_: We notice that all the
particular _magnets_ which have come under our observation _attract
iron_. Our mental record of the phenomena may be stated as: "A, B, C, D,
E, F, G, etc., and also X, Y, and Z, all of which are _magnets_, in all
observed instances, and at all observed times, _attract iron_."
Public-domain text, read in full here on John Shaqi.
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