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| 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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created 1996/11/25 modified 2009/04/26