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Secondly, of what sort of non-being and being do the things that
are consist? For 'nonbeing' also has many senses, since 'being' has;
and 'not being a man' means not being a certain substance, 'not
being straight' not being of a certain quality, 'not being three
cubits long' not being of a certain quantity. What sort of being and
non-being, then, by their union pluralize the things that are? This
thinker means by the non-being the union of which with being
pluralizes the things that are, the false and the character of
falsity. This is also why it used to be said that we must assume
something that is false, as geometers assume the line which is not a
foot long to be a foot long. But this cannot be so. For neither do
geometers assume anything false (for the enunciation is extraneous
to the inference), nor is it non-being in this sense that the things
that are are generated from or resolved into. But since 'non-being'
taken in its various cases has as many senses as there are categories,
and besides this the false is said not to be, and so is the potential,
it is from this that generation proceeds, man from that which is not
man but potentially man, and white from that which is not white but
potentially white, and this whether it is some one thing that is
generated or many.
The question evidently is, how being, in the sense of 'the
substances', is many; for the things that are generated are numbers
and lines and bodies
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