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. For the attributes of this in so
far as it is being, and the contrarieties in it qua being, it is the
business of no other science than philosophy to investigate; for to
physics one would assign the study of things not qua being, but rather
qua sharing in movement; while dialectic and sophistic deal with the
attributes of things that are, but not of things qua being, and not
with being itself in so far as it is being; therefore it remains
that it is the philosopher who studies the things we have named, in so
far as they are being. Since all that is is to 'be' in virtue of
something single and common, though the term has many meanings, and
contraries are in the same case (for they are referred to the first
contrarieties and differences of being), and things of this sort can
fall under one science, the difficulty we stated at the beginning
appears to be solved,-I mean the question how there can be a single
science of things which are many and different in genus.
4
Since even the mathematician uses the common axioms only in a
special application, it must be the business of first philosophy to
examine the principles of mathematics also. That when equals are taken
from equals the remainders are equal, is common to all quantities, but
mathematics studies a part of its proper matter which it has detached,
e.g. lines or angles or numbers or some other kind of quantity-not,
however, qua being but in so far as each of them is continuous in
one or two or three dimensions; but philosophy does not inquire
about particular subjects in so far as each of them has some attribute
or other, but speculates about being, in so far as each particular
thing is
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