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. For (i) geometrical
classes are severed from one another, unless the principles of these
are implied in one another in such a way that the 'broad and narrow'
is also 'long and short' (but if this is so, the plane will be line
and the solid a plane; again, how will angles and figures and such
things be explained?). And (ii) the same happens as in regard to
number; for 'long and short', &c., are attributes of magnitude, but
magnitude does not consist of these, any more than the line consists
of 'straight and curved', or solids of 'smooth and rough'.
(All these views share a difficulty which occurs with regard to
species-of-a-genus, when one posits the universals, viz. whether it is
animal-itself or something other than animal-itself that is in the
particular animal. True, if the universal is not separable from
sensible things, this will present no difficulty; but if the 1 and the
numbers are separable, as those who express these views say, it is not
easy to solve the difficulty, if one may apply the words 'not easy' to
the impossible. For when we apprehend the unity in 2, or in general in
a number, do we apprehend a thing-itself or something else?).
Some, then, generate spatial magnitudes from matter of this
sort, others from the point -and the point is thought by them to be
not 1 but something like 1-and from other matter like plurality, but
not identical with it; about which principles none the less the same
difficulties occur
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