If you’ve got infinite power on your side, what can possibly defeat you?

Any finite number presupposes infinity. So infinity is mathematically necessary; it must exist, somehow or other, in order for there to be such a thing as any finite quantity.

However infinity exists, it must at least be actual. If infinity did not actually exist, then it could not exist mathematically. If it did not exist actually, then its mathematical existence would be illusory – not an accurate reflection of reality. There would then be no such thing as quantity, and mathematics would have nothing to do with truth. But it does. So infinity actually exists.

To say that infinity actually exists is to say that it is, or is a property of, some concrete real. It is also to say that it is an actual fact – which is to say, the factuality of an act. And this is all to say that infinity is a fact of an act of existence of a concrete being. Whatever else that being is, he is infinite.