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Aristotle - Metaphysics
Atec Февраль 16 2008 19:57:08
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.g. fire or water would be infinite, but
such an infinite element would be destruction to the contrary
elements. But if the parts are infinite and simple, their places
also are infinite and there will be an infinite number of elements;
and if this is impossible, and the places are finite, the All also
must be limited.
In general, there cannot be an infinite body and also a proper
place for bodies, if every sensible body has either weight or
lightness. For it must move either towards the middle or upwards,
and the infinite either the whole or the half of it-cannot do
either; for how will you divide it? Or how will part of the infinite
be down and part up, or part extreme and part middle? Further, every
sensible body is in a place, and there are six kinds of place, but
these cannot exist in an infinite body. In general, if there cannot be
an infinite place, there cannot be an infinite body; (and there cannot
be an infinite place,) for that which is in a place is somewhere,
and this means either up or down or in one of the other directions,
and each of these is a limit.
The infinite is not the same in the sense that it is a single
thing whether exhibited in distance or in movement or in time, but the
posterior among these is called infinite in virtue of its relation
to the prior; i.e. a movement is called infinite in virtue of the
distance covered by the spatial movement or alteration or growth,
and a time is called infinite because of the movement which occupies
it
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