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. For the theory of Ideas has no special discussion
of the subject; for those who speak of Ideas say the Ideas are
numbers, and they speak of numbers now as unlimited, now as limited by
the number 10; but as for the reason why there should be just so
many numbers, nothing is said with any demonstrative exactness. We
however must discuss the subject, starting from the presuppositions
and distinctions we have mentioned. The first principle or primary
being is not movable either in itself or accidentally, but produces
the primary eternal and single movement. But since that which is moved
must be moved by something, and the first mover must be in itself
unmovable, and eternal movement must be produced by something
eternal and a single movement by a single thing, and since we see that
besides the simple spatial movement of the universe, which we say
the first and unmovable substance produces, there are other spatial
movements-those of the planets-which are eternal (for a body which
moves in a circle is eternal and unresting; we have proved these
points in the physical treatises), each of these movements also must
be caused by a substance both unmovable in itself and eternal. For the
nature of the stars is eternal just because it is a certain kind of
substance, and the mover is eternal and prior to the moved, and that
which is prior to a substance must be a substance. Evidently, then,
there must be substances which are of the same number as the movements
of the stars, and in their nature eternal, and in themselves
unmovable, and without magnitude, for the reason before mentioned
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