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[12] Aristotle in his logical analysis of Induction, Prior.

Analytics II. 25, defines it to be "the proving the inherence of

the major term in the middle (i.e. proving the truth of the major

premiss in fig. 1) through the minor term." He presupposes a

Syllogism in the first Figure with an universal affirmative

conclusion, which reasons, of course, from an universal, which

universal is to be taken as proved by Induction. His doctrine

turns upon a canon which he there quotes. "If of one and the same

term two others be predicated, one of which is coextensive with

that one and the same, the other may be predicated of that which

is thus coextensive." The fact of this coextensiveness must be

ascertained by [Greek: nous], in other words, by the Inductive

Faculty. We will take Aldrich's instance. All Magnets attract

iron A B C are Magnets A B C attract iron. Presupposed Syllogism

reasoning from an universal.

A B C attract iron (Matter of observation and experiment)