Aristotle - The Organon - index for ANALYTICA POSTERIORA Book 1 Part 20

Middle terms cannot be infinite in number

Paragraph 1 Now, it is clear that if the predications terminate in both the upward and the downward direction (by 'upward' I mean the ascent to the more universal, by 'downward' the descent to the more particular), the middle terms cannot be infinite in number.

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