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Aristotle - Metaphysics
Atec Февраль 16 2008 19:57:08
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If not, not even the 2 in the 10-itself will be undifferentiated,
though they are equal; for what reason will the man who alleges that
they are not differentiated be able to give?
Again, if every unit + another unit makes two, a unit from the
2-itself and one from the 3-itself will make a 2. Now (a) this will
consist of differentiated units; and will it be prior to the 3 or
posterior? It rather seems that it must be prior; for one of the units
is simultaneous with the 3 and the other is simultaneous with the 2.
And we, for our part, suppose that in general 1 and 1, whether the
things are equal or unequal, is 2, e.g. the good and the bad, or a man
and a horse; but those who hold these views say that not even two
units are 2.
If the number of the 3-itself is not greater than that of the 2,
this is surprising; and if it is greater, clearly there is also a
number in it equal to the 2, so that this is not different from the
2-itself. But this is not possible, if there is a first and a second
number.
Nor will the Ideas be numbers. For in this particular point they
are right who claim that the units must be different, if there are
to be Ideas; as has been said before. For the Form is unique; but if
the units are not different, the 2's and the 3's also will not be
different. This is also the reason why they must say that when we
count thus-'1,2'-we do not proceed by adding to the given number;
for if we do, neither will the numbers be generated from the
indefinite dyad, nor can a number be an Idea; for then one Idea will
be in another, and all Forms will be parts of one Form
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