Hilbert, the great 20th Century mathematician, produced the infinite hotel paradox to show that infinity is not real.
I don't think that's what the hotel paradox shows. Can you run me through that one?
What is of interest are arguments (pro and con) about whether infinity "really" exists and, therefore, whether the universe might be finite or infinite.
I thought the best current model of the universe is one that is finite, yet unbounded.
I think the simple answer is that we don't know if the universe is infinite or not. I don't think arguments are going to settle whether infinity really exists or not.
The point here is that if you want to posit cyclic universes, then you have to show that infinite regress is a valid philosophical concept.
What? Fuck philosophy. Science doesn't have to cater to philosophy! Besides, the maths will speak for themselves.
Further, a finite universe can still exist without a First Cause so this whole thing is even more pointless, no offense.
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