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. Yet
this is not possible in view of their thesis any more than it is
reasonable in itself, at least if they arrange the Ideas as they do.
But if number is finite, how far does it go? With regard to this
not only the fact but the reason should be stated. But if number
goes only up to 10 as some say, firstly the Forms will soon run short;
e.g. if 3 is man-himself, what number will be the horse-itself? The
series of the numbers which are the several things-themselves goes
up to 10. It must, then, be one of the numbers within these limits;
for it is these that are substances and Ideas. Yet they will run
short; for the various forms of animal will outnumber them. At the
same time it is clear that if in this way the 3 is man-himself, the
other 3's are so also (for those in identical numbers are similar), so
that there will be an infinite number of men; if each 3 is an Idea,
each of the numbers will be man-himself, and if not, they will at
least be men. And if the smaller number is part of the greater
(being number of such a sort that the units in the same number are
associable), then if the 4-itself is an Idea of something, e.g. of
'horse' or of 'white', man will be a part of horse, if man is It is
paradoxical also that there should be an Idea of 10 but not of 11, nor
of the succeeding numbers. Again, there both are and come to be
certain things of which there are no Forms; why, then, are there not
Forms of them also? We infer that the Forms are not causes
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