Two kinds of infinity- how can we understand them?

[Kyriakos]

Yes, i meant not natural infinite numbers between two natural numbers, but all kinds of numbers such as 3/2 between 1 and 2

In essense the question is what kind of infinity would the universe have, if it had infinity.

 

[warpus]

If the universe was infinite in size, I think you would expect to find every single possible permutation of atoms present in it somewhere. The thing is that on one hand that sounds counter-intuitive, but on the other.. exactly what you'd expect.

There's no way there's a warpus out there who hates bacon though, so the universe can't be infinite in size.

There's also the thought that the universe is infinite in size, yet its properties do not allow certain permutations of atoms to come into being. So for example, a hitler with a bagel on his head might never come into being - so every possible permutation might not arise.

 

[Thorgalaeg]

Of course only possible variations will exist. If universe properties allow a bagel headed Hitler (even if it is extremely improbable) then it will exist. The same happens for quantum mechanics and its multi-world interpretation and in fact both concepts are related. However we hardly are qualified to say what is probable or not as our own universe seems pretty improbable in some aspects.

Of course we are limiting ourselves to the simplest kind of multiverse. There are other more complex (or more complete) models where the different universes have different basic constants, dimensions or even different fundamental laws...