I’ll just explain why I have come to this question here. I was thinking about the multiverse thing. It occurred to me that if the multiverse is real, as in an infinite quantity of universes, then there is an infinite number of universes where you exist in every variation and an infinite number of universes where you don’t exist in every variation. So if, at random, a portal links two universes together, there is a chance that you will link to a universe with another version of you. It seems like the probability of this would he low, but not zero, despite the fact there would be infinitely more universes without a version of you than there would be with one.
In: Mathematics
It depends what the infinite set of numbers is. If you’re choosing one number among a group that are all ‘equally likely’ (any number between 0 and 1, for example), the probability of choosing one particular number is exactly zero. Zero probability doesn’t mean never for mathematicians, it means “almost never”.
If you’re choosing one number from a list, say {1,2,3,4…}, it is impossible to make them ‘equally likely’. So it would depend on what you assume about your universes. Maybe you think universe 1 has probability 1/2, universe 2 has probability 1/4, universe 3 has probability 1/8, etc. This would be an entirely consistent model, but it has less to do with pure math (odds) than someone’s judgment.
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