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Aristotle - The Organon - index for ANALYTICA POSTERIORA Book 2 Part 13

The elements predicated as constituting the definable form

  
Paragraph 1 We have already explained how essential nature is set out in the terms of a demonstration, and the sense in which it is or is not demonstrable or definable;
Paragraph 2 Now of the attributes which inhere always in each several thing there are some which are wider in extent than it but not wider than its genus (by attributes of wider extent mean all such as are universal attributes of each several subject, but in their application are not confined to that subject).
Paragraph 3 The author of a hand-book on a subject that is a generic whole should divide the genus into its first infimae species-number e.g. into triad and dyad - and then endeavour to seize their definitions by the method we have described - the definition, for example, of straight line or circle or right angle.
Paragraph 4 Divisions according to differentiae are a useful accessory to this method.
Paragraph 5 To define and divide one need not know the whole of existence.
Paragraph 6 In establishing a definition by division one should keep three objects in view:
Paragraph 7 To resume our account of the right method of investigation:


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