I thought, I've written this argument already here, but then I noticed, that I have confused 2 communities. This argument is an idea I had to show, that William Lane Craig's God is incoherend with his point on actual infinities.

Craig defines god as all knowing. And he claims that an actual infinity can't exist.

Now in maths there are some infinities. Craig would say, that numbers don't exist and therefor infinite numbers aren't an actual infinity. But the knowledge of all those numbers would be. There are for example infinite prime numbers. Knowing all of them would be an actual infinity.

In the other forum, I've got one objection: God could know a way to calculate all prime numbers.

But this would need an infinite long calculation. In this case the actual infinity of this calculation must be possible, or it can't be used to calculate any prime number.

Therefor Omniscience is an actual infinity.