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Aristotle - Metaphysics
Atec Февраль 16 2008 19:57:08
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But even if ore supposes the case to be such that, as some say,
number proceeds from unity-itself and something else which is not one,
none the less we must inquire why and how the product will be
sometimes a number and sometimes a magnitude, if the not-one was
inequality and was the same principle in either case. For it is not
evident how magnitudes could proceed either from the one and this
principle, or from some number and this principle.
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(14) A question connected with these is whether numbers and bodies
and planes and points are substances of a kind, or not. If they are
not, it baffles us to say what being is and what the substances of
things are. For modifications and movements and relations and
dispositions and ratios do not seem to indicate the substance of
anything; for all are predicated of a subject, and none is a 'this'.
And as to the things which might seem most of all to indicate
substance, water and earth and fire and air, of which composite bodies
consist, heat and cold and the like are modifications of these, not
substances, and the body which is thus modified alone persists as
something real and as a substance. But, on the other hand, the body is
surely less of a substance than the surface, and the surface than
the line, and the line than the unit and the point. For the body is
bounded by these; and they are thought to be capable of existing
without body, but body incapable of existing without these
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