Request: Math expert to prove God doesn't exist.

[Cheerful Charlie]

I'm familiar with Craig's Kalam argument, but the idea that an infinite regress is impossible goes back thousands of years to Aristotle, almost 400 years before Christianity. To think it's Craig's idea is just nonsense.

But even if there is a hypothetical state (Heaven, Hell, a coffee-date with apophenia) that lasts eternally long, this is not an infinite and Cantor's set theory helps explain why. In set-theory the smallest infinite set is aleph-zero and contains infinite members. Ie, an actual infinite.

Meanwhile, what you are describing with an eternal state is not an actually infinite collection of events. It is better represented with a lemniscate. But in such a scenario, at any particular moment, only a finite number of events pass, and this is because we start counting from zero, and any particular point is a finite distance from zero.

So I'm not sure any of these objections go through from a mathematical perspective. But I'm sure there can be others.

Thanks for bringing up some meaningful discussion on this subject, though. Let me know if my responses make sense.

No. God is described as existing eternally, and creating hell and heaven that will last eternally. That is, in eternity there are infinite things, souls experiencing states of consciousness, acts of torture or bliss. These are very real things. My having suffered a painful burn on a hot stove a year ago was a real thing. That it has healed and no longer hurts is also a real thing. My mortal life is limited, and such actions are limited in number. In an eternal afterlife, such actions are infinite in number.

God's infinity in time means he has infinite thoughts, actions, things. Real things.
Knowledge from all eternity when he would create the world and hell. And knowledge of the resulting infinite future acts of torment in hell.

Our real existence in a natural world is exceeding short and limited in comparison to our supposed existence in an infinite supernatural world to come.
Try rhetorically to tie Cantorian math only to a natural world will never do.

And the theological reasoning that attempts such a ploy is simply wrong.
Lane's apologism is false. And Aristotle certainly was dead wrong about a lot of things.

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