Dear cyberphilosophers,
To conceive of a limit as such means that mentally, we must have gone beyond such a limit. It is only by realizing that one can go beyond a limit that one can realize that this is a limit.
It means that our intelligence can go beyond all that is finite, since it has the general idea of a limit. Therefore, our intelligence aims at the infinite.
It means that the infinite must be at least possible. If it were impossible, it would be sure that it does not exist. But if it did not exist, so the intelligence would aim at something non-existent. It would aim at nothing. But it amounts to saying that intelligence would not at all aim at anything. And this is false de facto, since we realize that intelligence aims at something.
But if the infinite is possible in itself, and not only from our viewpoint, it means that it must exist. If the infinite is possible, in effect, it may mean two things:
1 - It exists actually
2 - It can be brought into existence by some cause
But 2) is impossible, for if the infinite does not exist actually, there is nothing but finite causes. And how can a finite cause or finite causes bring something superior to them into existence?
Thefore the infinite exists, and atheism is dead.
Objection: this can prove as well the existence of an infinite pain. We can conceive of a finite pain, but this means that we have gone beyond this finite pains. It means that our intelligence aims at an infinite pain. Therefore, an infinite pain is possible. But if it is possible, it must exist, for if it were merely possible, it would mean that some finite cause could bring about an infinite pain, but this is absurd.