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.g. the things characterized by the more and the less, or
by the dense and the rare, and by other such qualities; for all
these are forms of excess and defect. And anything that is
characterized by shape or by smoothness and roughness is characterized
by the straight and the curved. And for other things their being
will mean their being mixed, and their not being will mean the
opposite.
It is clear, then, from these facts that, since its substance is
the cause of each thing's being, we must seek in these differentiae
what is the cause of the being of each of these things. Now none of
these differentiae is substance, even when coupled with matter, yet it
is what is analogous to substance in each case; and as in substances
that which is predicated of the matter is the actuality itself, in all
other definitions also it is what most resembles full actuality.
E.g. if we had to define a threshold, we should say 'wood or stone
in such and such a position', and a house we should define as
'bricks and timbers in such and such a position',(or a purpose may
exist as well in some cases), and if we had to define ice we should
say 'water frozen or solidified in such and such a way', and harmony
is 'such and such a blending of high and low'; and similarly in all
other cases.
Obviously, then, the actuality or the formula is different when
the matter is different; for in some cases it is the composition, in
others the mixing, and in others some other of the attributes we
have named
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