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
What is called Reasoning by Analogy is one of the most elementary forms
of reasoning, and the one which the majority of us most frequently
employ. It is a primitive form of hasty generalization evidencing in the
natural expectation that "things will happen as they have happened
before in like circumstances." The term as used in logic has been
defined as "Resemblance of relations; Resemblances of any kind on which
an argument falling short of induction may be founded." Brooks says:
"Analogy is that process of thought by which we infer that if two things
resemble each other in one or more particulars, they will resemble each
other in some other particular."
Jevons states the _Rule for Reasoning by Analogy_, as follows: "If two
or more things resemble each other in many points, they will probably
resemble each other also in more points." Others have stated the same
principle as follows: "When one thing resembles another in known
particulars, it will resemble it also in the unknown;" and "If two
things agree in several particulars, they will also agree in other
particulars."
There is a difference between generalization by induction, and by
analogy. In inductive generalization the rule is: "What is true of the
many is true of all;" while the rule of analogy is: "things that have
some things in common have other things in common." As Jevons aptly
remarks: "Reasoning by Analogy differs only in degree from that kind of
reasoning called 'Generalization.' When _many things_ resemble each
other in a _few properties_, we argue about them by Generalization. When
a _few things_ resemble each other in _many properties_, it is a case of
analogy." Illustrating Analogy, we may say that if in A we find the
qualities, attributes or properties called _a_, _b_, _c_, _d_, _e_, _f_,
_g_, respectively, and if we find that in B the qualities, etc., called
_a_, _b_, _c_, _d_, _e_, respectively, are present, then we may reason
by analogy that the qualities _f_ and _g_ must also belong to B.
Public-domain text, read in full here on John Shaqi.
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