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(1) Whether God is infinite?
(2) Whether anything besides Him is infinite in essence?
(3) Whether anything can be infinitude in magnitude?
(4) Whether an infinite multitude can exist?
FIRST ARTICLE [I, Q. 7, Art. 1]
Whether God Is Infinite?
Objection 1: It seems that God is not infinite. For everything infinite is imperfect, as the Philosopher says; because it has parts and matter, as is said in Phys. iii. But God is most perfect; therefore He is not infinite.
Obj. 2: Further, according to the Philosopher (Phys. i), finite and infinite belong to quantity. But there is no quantity in God, for He is not a body, as was shown above (Q. 3, A. 1). Therefore it does not belong to Him to be infinite.
Obj. 3: Further, what is here in such a way as not to be elsewhere, is finite according to place. Therefore that which is a thing in such a way as not to be another thing, is finite according to substance. But God is this, and not another; for He is not a stone or wood. Therefore God is not infinite in substance.
_On the contrary,_ Damascene says (De Fide Orth. i, 4) that "God is infinite and eternal, and boundless."
_I answer that,_ All the ancient philosophers attribute infinitude to the first principle, as is said (Phys. iii), and with reason; for they considered that things flow forth infinitely from the first principle. But because some erred concerning the nature of the first principle, as a consequence they erred also concerning its infinity; forasmuch as they asserted that matter was the first principle; consequently they attributed to the first principle a material infinity to the effect that some