Atheism and the existence of peanut butter

[Angrboda]

The simple answer is that we don't know. Klor, as many do, is applying the logic of one class of numbers and entities to another class of numbers and entities for which those operations are not valid. You can't take operations like addition and subtraction, as you would apply them to scalars, and willy nilly apply them to infinities. We simply don't know how actual infinities should be expected to behave. William Lane Craig suggests that Hilbert's Hotel is an absurdity, because if the hotel were full, we could always create an additional reservation as if it were created on the nonce simply because it was required. That's certainly one way of imagining things. But it's also reasonable to suggest the hotel is never full, and that adding rooms isn't actually adding rooms, as the rooms are already there. I'm certainly no expert on infinities, but I suspect any speculations about how an actual infinite would work are just that, speculations, which themselves are based upon assumptions and premises that may not hold.