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If Induction implied actual examination of all particular

instances it would cease to be Reasoning at all and sink into

repeated acts of Simple Apprehension it is really the bridging

over of a chasm, not the steps cut in the rock on either side to

enable us to walk down into and again out of it. It is a branch

of probable Reasoning, and its validity depends entirely upon the

quality of the particular mind which performs it. Rapid Induction

has always been a distinguishing mark of Genius the certainty

produced by it is Subjective and not Objective. It may be useful

to exhibit it Syllogistically, but the Syllogism which exhibits

it is either nugatory, or contains a premiss literally false. It

will be found useful to compare on the subject of Induction as

the term is used by Aristotle, Analytica Prior. II 25 26

Analytica Post. I. 1, 3, and I. Topics VI I and X.