The second principle is Aristotle's principle that an actual infinity is impossible.

An actual infinity is impossible, he reasons, because infinity is a potential value that cannot be reached.

Likewise, time itself, whether measured by minutes or millennia, cannot comprise an actual infinity.

On the one hand, it would seem God cannot be infinite either since an actual infinity is impossible.

He distinguished between actual infinity and potential infinity-the general consensus being that only the latter had true value.

Hence our conclusion differed from that given above; for we inferred in the antithesis the actual infinity of the world.

He distinguished between actual and potential infinity.

During the Renaissance and by early modern times the voices in favor of actual infinity were rather rare.

Cantor's views prevailed and modern mathematics accepts actual infinity.

Craig also develops an a posteriori argument against actual infinities which rests on the A-theory of time.