SUMMA THEOLOGICA - Thomas Aquinas

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absolutely; but that an accidentally infinite multitude was not impossible. A multitude is said to be infinite absolutely, when an infinite multitude is necessary that something may exist. Now this is impossible; because it would entail something dependent on an infinity for its existence; and hence its generation could never come to be, because it is impossible to pass through an infinite medium.

      A multitude is said to be accidentally infinite when its existence as such is not necessary, but accidental. This can be shown, for example, in the work of a carpenter requiring a certain absolute multitude; namely, art in the soul, the movement of the hand, and a hammer; and supposing that such things were infinitely multiplied, the carpentering work would never be finished, forasmuch as it would depend on an infinite number of causes. But the multitude of hammers, inasmuch as one may be broken and another used, is an accidental multitude; for it happens by accident that many hammers are used, and it matters little whether one or two, or many are used, or an infinite number, if 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 to Objection 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 to Objection 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 to Objection 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.

       Table of Contents

      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 God is everywhere by essence, power, and presence?

       (4) Whether to be everywhere belongs to God alone?

      Objection 1: It seems that God is not in all things. For what is above all things is not in all things. But God is above all, according to the Psalm (Ps. 112:4), "The Lord is high above all nations," etc. Therefore God is not in all things.

      Objection 2: Further, what is in anything is thereby contained. Now God is not contained by things, but rather does He contain them. Therefore God is not in things but things are rather in Him. Hence Augustine says (Octog. Tri. Quaest. qu. 20), that "in Him things are, rather than He is in any place."

      Objection 3: Further, the more powerful an agent is, the more extended is its action. But God is the most powerful of all agents. Therefore His action can extend to things which are far removed from Him; nor is it necessary that He should be in all things.

      Objection 4: Further, the demons are beings. But God is not in the demons; for there is no fellowship between light and darkness (2 Cor. 6:14). Therefore God is not in all things.

      On the contrary, A thing is wherever it operates. But God operates in all things, according to Is. 26:12, "Lord . . . Thou hast wrought all our works in [Vulg.: 'for'] us." Therefore God is in all things.

      I answer that, God is in all things; not, indeed, as part of their essence, nor as an accident, but as an agent is present to that upon which it works. For an agent must be joined to that wherein it acts immediately and touch it by its power; hence it is proved in Phys. vii that the thing moved and the mover must be joined together. Now since God is very being by His own essence, created being must be His proper effect; as to ignite is the proper effect of fire. Now God causes this effect in things not only when they first begin to be, but as long as they are preserved in being; as light is caused in the air by the sun as long as the air remains illuminated. Therefore as long as a thing has being, God must be present to it, according to its mode of being. But being is innermost in each thing and most fundamentally inherent in all things since it is formal in respect of everything found in a thing, as was shown above ( Question [7], Article [1]). Hence it must be that God is in all things, and innermostly.

      Reply to Objection 1: God is above all things by the excellence of His nature; nevertheless, He is in all things as the cause of the being of all things; as was shown above in this article.

      Reply to Objection 2: Although corporeal things are said to be in another as in that which contains them, nevertheless, spiritual things contain those things in which they are; as the soul contains the body. Hence also God is in things containing them; nevertheless, by a certain similitude to corporeal things, it is said that all things are in God; inasmuch as they are contained by Him.

      Reply to Objection 3: No action of an agent, however powerful it may be, acts at a distance, except through a medium. But it belongs to the great power of God that He acts immediately in all things. Hence nothing is distant from Him, as if it could be without God in itself. But things are said to be distant from God by the unlikeness to Him in nature or grace; as also He is above all by the excellence of His own nature.

      Reply to Objection 4: In the demons there is their nature which is from God, and also the deformity of sin which is not from Him; therefore, it is not to be absolutely conceded that God is in the demons, except with the addition, "inasmuch as they are beings." But in things not deformed in their nature, we must say absolutely that God is.

      Objection 1: It seems that God is not everywhere. For to be everywhere means to be in every place. But to be in every place does not belong to God, to Whom it does not belong to be in place at all; for "incorporeal things," as Boethius says (De Hebdom.), "are not in a place." Therefore God is not everywhere.

      Objection

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