>>3356
TL;DR The universe cannot be abstracted to a natural number, and if anything short of two absolutely equivalent Universes are not the same to you, you might be right. But how do you know that this does not work in discrete steps?
I was just explaining what they say about monkeys and typewriters.
I understand that "because something is infinite does not mean it is all-encompassing" and I know about the Entscheidungsproblem (also about Popper's theory of science in so far that any scientific statement needs to be falsifiable, if that matters). But we are talking about possible universes, more precisely about the possibility that one universe created matches another universe created before.
Let's assume you are thinking of one even natural number, no matter the size. Almost always I will guess the wrong number. But if we assume that I had infinite time, i.e. an infinite amount of guesses, then I must guess the right number eventually.
Natural number = An universe
Number you are thinking of = First Universe
Wrong guess = Universe is different from First Universe
Right guess = Universe is the same as First Universe.
I am not a physician but I do know that the energy states of small particles (at least of electrons) are always discrete, not continuos. From that might or might not follow that universes exist in discrete states as well. Discrete would mean that between two states are only countable many other states, just like in the set of natural numbers.
Those are all just speculative thoughts I came up with just now, I cannot make that claim as I am obviously arguing way beyond my scientific knowledge.