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Aristotle - The Organon - index for ANALYTICA PRIORIA Book 1 Part 7

The relation between the figures

  
Paragraph 1 It is evident also that in all the figures, whenever a proper syllogism does not result, if both the terms are affirmative or negative nothing necessary follows at all, but if one is affirmative, the other negative, and if the negative is stated universally, a syllogism always results relating the minor to the major term, e.g. if A belongs to all or some B, and B belongs to no C:
Paragraph 2 It is clear too that all the imperfect syllogisms are made perfect by means of the first figure.
Paragraph 3 It is possible also to reduce all syllogisms to the universal syllogisms in the first figure.
Paragraph 4 We have stated then how syllogisms which prove that something belongs or does not belong to something else are constituted, both how syllogisms of the same figure are constituted in themselves, and how syllogisms of different figures are related to one another.


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