syllogism

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If taken another way, they could indicate that every time Aristotle used epagoge in the corpus he really meant, 'the kind of deduction known as induction'.
In the chapter, he is in fact using epagoge in two different senses.
A claim that induction is a deduction from induction would be a contradictory and infinite regress unless the term epagoge were being used in different senses in each place, and in Prior Analytics II 23 it is.
It is remarkable that Aristotle's ninety-one uses of epagoge and six of epaktikos are so incidental.
Unless we find evidence to the contrary, we should presume that when Aristotle used the word epagoge, he expected his students to understand it to be none other than what they would have known to be Socratic induction.
I believe the most insightful understanding of Socratic epagoge remains that of Gregory Vlastos.
32) If we take 'meaning' here not as necessarily definitional or essential but as indicating the properties that have a one-to-one correspondence with a term's referents and are thus able to uniquely identify those referents, then I think we have gotten to the heart of Aristotelian epagoge, at least when it is used to provide pistis.
In Aristotelian epagoge the truth of a generalization does not follow--and Aristotle does not claim that it follows--directly from particular premises being true.