the work is carried on for an infinite time. In this way
they said that there can be an accidentally infinite multitude.
This, however, is impossible; since every kind of multitude must
belong to a species of multitude. Now the species of multitude are to
be reckoned by the species of numbers. But no species of number is
infinite; for every number is multitude measured by one. Hence it is
impossible for there to be an actually infinite multitude, either
absolute or accidental. Likewise multitude in nature is created; and
everything created is comprehended under some clear intention of the
Creator; for no agent acts aimlessly. Hence everything created must be
comprehended in a certain number. Therefore it is impossible for an
actually infinite multitude to exist, even accidentally. But a
potentially infinite multitude is possible; because the increase of
multitude follows upon the division of magnitude; since the more a
thing is divided, the greater number of things result. Hence, as the
infinite is to be found potentially in the division of the continuous,
because we thus approach matter, as was shown in the preceding
article, by the same rule, the infinite can be also found potentially
in the addition of multitude.
Reply Obj. 1: Every potentiality is made actual according to
its mode of being; for instance, a day is reduced to act successively,
and not all at once. Likewise the infinite in multitude is reduced to
act successively, and not all at once; because every multitude can be
succeeded by another multitude to infinity.
Reply Obj. 2: Species of figures are infinite by infinitude of
number. Now there are various species of figures, such as trilateral,
quadrilateral and so on; and as an infinitely numerable multitude is
not all at once reduced to act, so neither is the multitude of
figures.
Reply Obj. 3: Although the supposition of some things does not
preclude the supposition of others, still the supposition of an
infinite number is opposed to any single species of multitude. Hence
it is not possible for an actually infinite multitude to exist.
_______________________
QUESTION 8
THE EXISTENCE OF GOD IN THINGS
(In Four Articles)
Since it evidently belongs to the infinite to be present everywhere,
and in all things, we now consider whether this belongs to God; and
concerning this there arise four points of inquiry:
(1) Whether God is in all things?
(2) Whether God is everywhere?
(3) Whether
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