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. Yet there must, if the 1 and the
indefinite dyad are to be the elements. But if the results are
impossible, it is also impossible that these are the generating
principles.
If the units, then, are differentiated, each from each, these
results and others similar to these follow of necessity. But (3) if
those in different numbers are differentiated, but those in the same
number are alone undifferentiated from one another, even so the
difficulties that follow are no less. E.g. in the 10-itself their
are ten units, and the 10 is composed both of them and of two 5's. But
since the 10-itself is not any chance number nor composed of any
chance 5's--or, for that matter, units--the units in this 10 must
differ. For if they do not differ, neither will the 5's of which the
10 consists differ; but since these differ, the units also will
differ. But if they differ, will there be no other 5's in the 10 but
only these two, or will there be others? If there are not, this is
paradoxical; and if there are, what sort of 10 will consist of them?
For there is no other in the 10 but the 10 itself. But it is
actually necessary on their view that the 4 should not consist of
any chance 2's; for the indefinite as they say, received the
definite 2 and made two 2's; for its nature was to double what it
received.
Again, as to the 2 being an entity apart from its two units, and
the 3 an entity apart from its three units, how is this possible?
Either by one's sharing in the other, as 'pale man' is different
from 'pale' and 'man' (for it shares in these), or when one is a
differentia of the other, as 'man' is different from 'animal' and
'two-footed'
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