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. E.g. if Callias is a numerical ratio
between fire and earth and water and air, his Idea also will be a
number of certain other underlying things; and man himself, whether it
is a number in a sense or not, will still be a numerical ratio of
certain things and not a number proper, nor will it be a of number
merely because it is a numerical ratio.
Again, from many numbers one number is produced, but how can one
Form come from many Forms? And if the number comes not from the many
numbers themselves but from the units in them, e.g. in 10,000, how
is it with the units? If they are specifically alike, numerous
absurdities will follow, and also if they are not alike (neither the
units in one number being themselves like one another nor those in
other numbers being all like to all); for in what will they differ, as
they are without quality? This is not a plausible view, nor is it
consistent with our thought on the matter.
Further, they must set up a second kind of number (with which
arithmetic deals), and all the objects which are called 'intermediate'
by some thinkers; and how do these exist or from what principles do
they proceed? Or why must they be intermediate between the things in
this sensible world and the things-themselves?
Further, the units in must each come from a prior but this is
impossible.
Further, why is a number, when taken all together, one?
Again, besides what has been said, if the units are diverse the
Platonists should have spoken like those who say there are four, or
two, elements; for each of these thinkers gives the name of element
not to that which is common, e
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