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Aristotle - Metaphysics
Atec Февраль 16 2008 19:57:08
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. Nor can it be ideal number. For 2 will not proceed
immediately from 1 and the indefinite dyad, and be followed by the
successive numbers, as they say '2,3,4' for the units in the ideal are
generated at the same time, whether, as the first holder of the theory
said, from unequals (coming into being when these were equalized) or
in some other way-since, if one unit is to be prior to the other, it
will be prior also to 2 the composed of these; for when there is one
thing prior and another posterior, the resultant of these will be
prior to one and posterior to the other. Again, since the 1-itself is
first, and then there is a particular 1 which is first among the
others and next after the 1-itself, and again a third which is next
after the second and next but one after the first 1,-so the units must
be prior to the numbers after which they are named when we count them;
e.g. there will be a third unit in 2 before 3 exists, and a fourth and
a fifth in 3 before the numbers 4 and 5 exist.-Now none of these
thinkers has said the units are inassociable in this way, but
according to their principles it is reasonable that they should be
so even in this way, though in truth it is impossible. For it is
reasonable both that the units should have priority and posteriority
if there is a first unit or first 1, and also that the 2's should if
there is a first 2; for after the first it is reasonable and necessary
that there should be a second, and if a second, a third, and so with
the others successively
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