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Aristotle - index for METAPHYSICA Book 13 Part 7

If the units are associable or inassociable

  
Paragraph 1 First, then, let us inquire if the units are associable or inassociable, and if inassociable, in which of the two ways we distinguished.
Paragraph 2 But (2) if the units are inassociable, and inassociable in the sense that any is inassociable with any other, number of this sort cannot be mathematical number;
Paragraph 3 Again, besides the 3-itself and the 2-itself how can there be other 3's and 2's?
Paragraph 4 If the units, then, are differentiated, each from each, these results and others similar to these follow of necessity.
Paragraph 5 Again, as to the 2 being an entity apart from its two units, and the 3 an entity apart from its three units, how is this possible?
Paragraph 6 Again, some things are one by contact, some by intermixture, some by position;
Paragraph 7 But this consequence also we must not forget, that it follows that there are prior and posterior 2 and similarly with the other numbers.
Paragraph 8 In general, to differentiate the units in any way is an absurdity and a fiction;
Paragraph 9 Again, if every unit + another unit makes two, a unit from the 2-itself and one from the 3-itself will make a 2.
Paragraph 10 If the number of the 3-itself is not greater than that of the 2, this is surprising;
Paragraph 11 Nor will the Ideas be numbers.


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