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Aristotle - index for METAPHYSICA Book 14 Part 3

Those who suppose the ideas to exist and to be numbers

  
Paragraph 1 As for those, then, who suppose the Ideas to exist and to be numbers, by their assumption in virtue of the method of setting out each term apart from its instances - of the unity of each general term they try at least to explain somehow why number must exist.
Paragraph 2 There are some who, because the point is the limit and extreme of the line, the line of the plane, and the plane of the solid, think there must be real things of this sort.
Paragraph 3 Again, if we are not too easily satisfied, we may, regarding all number and the objects of mathematics, press this difficulty, that they contribute nothing to one another, the prior to the posterior;
Paragraph 4 All this is absurd, and conflicts both with itself and with the probabilities, and we seem to see in it Simonides 'long rigmarole' for the long rigmarole comes into play, like those of slaves, when men have nothing sound to say.
Paragraph 5 It is strange also to attribute generation to things that are eternal, or rather this is one of the things that are impossible.


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