The actual infinity of God in every respect is Catholic dogma. In accordance with the Holy Bible (Ps 147:5; Isa. 57:15; Rom. 1:20; etc) and unanimous tradition, the Vatican Council at its Third Session (cap. i) declared God to be almighty, eternal, immense, incomprehensible, infinite in intellect and will and every perfection, really and essentially distinct from the world, infinitely blessed in Himself and through Himself, and inexpressibly above all things that can exist and be thought of besides Him. The infinity of God can also be proved from philosophy. God is the self-existing, uncreated Being whose entire explanation must be in Himself, in Whom there can be no trace of chance; but it would be mere chance if God possessed only a finite degree of perfection, for however high that degree might be, everything in the uncreated Being — His perfections, His individuality, His personality — admit the possibility of His possessing a still higher degree of entirety. From outside Himself, God cannot be limited, because, being uncreated, He is absolutely independent of external causes and conditions. Limitation would be chance; the more so because we can maintain not only that any given finite degree of perfection may be surpassed, but also, in a positive way, that an infinite being is possible. Moreover, if God were finite, the existence of other gods, His equals or even His superiors in perfection would be possible, and it would be mere chance if they did not exist. Of such gods, no trace can be found, while on the other hand, God's infinity is suggested by various data of experience, and in particular by our unbounded longing after knowledge and happiness. The more man a man is, and the more he follows his best thoughts and impulses, the less he is satisfied with merely finite cognitions and pleasures. That the essential cravings of our nature are not deceptive, is demonstrated at once by experience and speculation.
From the infinity of God it is easy to deduce all His perfections: His unity, simplicity, immutability, etc., though these may be proved also by other means. Many of God's attributes are nothing else than His infinity in a particular respect, e.g. His omnipotence is but the infinity of His power; His omniscience, the infinity of His knowledge. Whatever is known to be a pure unalloyed perfection, must be an attribute of God on account of His infinity...
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