• kryptonidas@lemmings.world
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    2 days ago

    Infinite options does not mean all options. Eg in the set natural numbers 0-infinity the set of infinite numbers between 0-1 (or between any other 2 adjacent numbers) is absent.

    So you can definitely have an infinite multiverse where in all of them infinite multiverses exist.

    • kryptonianCodeMonkey@lemmy.world
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      2 days ago

      Infinite options does not mean all options.

      Right, as you said the natural numbers is an infinite set but it doesn’t contain fractional numbers between adjacent natural numbers. The set of natural numbers also doesn’t contain letters, or colors, or varieties of geese. You can even add other constraints to the set and still have an infinite set that contains even fewer possible values, like you could have the set of all natural numbers that don’t contain the digit 3.

      People make the mistake of thinking that an infinite set of universes means that there is every conceivable version of a universe out there, but that’s not the case. Murphy’s law says that anything that can happen will happen, but that means things are still constrained by what can happen. Reality is constrained by consistent logic, the most basic of which is the identity law, p = p. It is a contradiction for both p and ~p to be true, a violation of reality. So if the multiverse is a reality, it is a single reality that is self consistent, meaning there is no Universe in the multiverse for which there doesn’t exist a multiverse.