Nature. Bad infinity
7 And when the thousand years are expired, Satan shall be loosed out of his prison,
8 And shall go out to deceive the nations which are in the four quarters of the earth, Gog and Magog, to gather them together to battle: the number of whom is as the sand of the sea.
The number of angels is finite
The number of angels is finite, determinate, limited. The fact that the angelic world is internally finished or full in no wise requires bad infinity or unlimitedness.
Enormously important for us is the fact that the angelic world is given as full and finished in the instantaneous creation of this world. The creation of this world does not go beyond this, and we just conclude that the number of angels is finite, determinate, limited. But this finiteness is not connected with any external boundary or limit, beyond which God's omnipotence, wisdom, and love grow weak and are nullified. Clearly, there can be no such weakening. Rather, this boundary expresses the fact that this world is internally finished or full, which in no wise requires bad infinity or unlimitedness. Otherwise, the angelic world would run the risk of lacking fullness or of being unfinished. And if our faith teaches us the contrary this means that not only a negative ("bad") finitude but also an actual, positive finitude is possible, at least in the angelic world.
Potential infinity is only an auxiliary notion.
Let us assume that we have a variable and that it varies not just in any way but in a determinate way — precisely in such a way that it becomes greater or smaller than any constant finite quantum of the same kind. In every state this variable is finite; but in our understanding the combination of these states differs from the combination of any arbitrary chosen states. In this sense we say that our quantum is a potential infinity, since it can become greater than any other quantum. Thus potential infinity does not represent any quantum taken in itself, but only a special way of considering a quantum, namely, in connection with the character of its special variation. Potential infinity, according to Cantor, is not an idea but only an auxiliary notion; it is ens rationis according to Stökl's apt expression. In short, potential infinity is the same thing that the aicients called apeiron, the scholastics called syncategorematice infinitum or indefinitum, and the modern philosophers call bad or, more precisely, simple infinity, schlechte Unendlichkeit.
The determinate completeness of the creation
The divine fullness of the creation is combined not with a negative ("bad") infinity that is powerless, but with a determinate completeness. Such completeness is characterized by an inexhaustible depth of eternity and by an eternal life realized in creaturely temporality.
Such a positive, finite infinitude is, in general, revealed to us through the creation of the world, in which the divine
is implanted. But this
is realized in a definite, limited period of time («the six days of creation»), and is implanted in definite, limited forms, or modes, of being. Otherwise, the world could not have been fully created, fully finished. And the divine sabbath could not have come, just as it would not have been said: “Thus the heavens and the earth were finished, and all the host of them. And on the seventh day God ended his work which he had made”