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And in general the arguments for the Forms destroy things for
whose existence the believers in Forms are more zealous than for the
existence of the Ideas; for it follows that not the dyad but number is
first, and that prior to number is the relative, and that this is
prior to the absolute-besides all the other points on which certain
people, by following out the opinions held about the Forms, came
into conflict with the principles of the theory.
Again, according to the assumption on the belief in the Ideas
rests, there will be Forms not only of substances but also of many
other things; for the concept is single not only in the case of
substances, but also in that of non-substances, and there are sciences
of other things than substance; and a thousand other such difficulties
confront them. But according to the necessities of the case and the
opinions about the Forms, if they can be shared in there must be Ideas
of substances only. For they are not shared in incidentally, but
each Form must be shared in as something not predicated of a
subject. (By 'being shared in incidentally' I mean that if a thing
shares in 'double itself', it shares also in 'eternal', but
incidentally; for 'the double' happens to be eternal.) Therefore the
Forms will be substance. But the same names indicate substance in this
and in the ideal world (or what will be the meaning of saying that
there is something apart from the particulars-the one over many?)
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