Aristotle - The Organon - index for ANALYTICA PRIORIA Book 1 Part 36

Relations between the terms in a syllogism

Paragraph 1 That the first term belongs to the middle, and the middle to the extreme, must not be understood in the sense that they can always be predicated of one another or that the first term will be predicated of the middle in the same way as the middle is predicated of the last term.
Paragraph 2 It happens sometimes that the first term is stated of the middle, but the middle is not stated of the third term, e.g. if wisdom is knowledge, and wisdom is of the good, the conclusion is that there is knowledge of the good.
Paragraph 3 The same holds good where the relation is negative.

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