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Aristotle - Metaphysics
Atec Февраль 16 2008 19:57:08
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. Good and evil indicate quality especially in
living things, and among these especially in those which have purpose.
15
Things are 'relative' (1) as double to half, and treble to a
third, and in general that which contains something else many times to
that which is contained many times in something else, and that which
exceeds to that which is exceeded; (2) as that which can heat to
that which can be heated, and that which can cut to that which can
be cut, and in general the active to the passive; (3) as the
measurable to the measure, and the knowable to knowledge, and the
perceptible to perception.
(1) Relative terms of the first kind are numerically related
either indefinitely or definitely, to numbers themselves or to 1. E.g.
the double is in a definite numerical relation to 1, and that which is
'many times as great' is in a numerical, but not a definite,
relation to 1, i.e. not in this or in that numerical relation to it;
the relation of that which is half as big again as something else to
that something is a definite numerical relation to a number; that
which is n+I/n times something else is in an indefinite relation to
that something, as that which is 'many times as great' is in an
indefinite relation to 1; the relation of that which exceeds to that
which is exceeded is numerically quite indefinite; for number is
always commensurate, and 'number' is not predicated of that which is
not commensurate, but that which exceeds is, in relation to that which
is exceeded, so much and something more; and this something is
indefinite; for it can, indifferently, be either equal or not equal to
that which is exceeded
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