i agree with your decision to bring lebesgue measure into the conversation of "most", but i dont think that's the best example since the rationals have lebesgue measure as well as cardinality less than the reals.
a better example may be the cantor set and the reals: they have the same cardinality and yet the cantor set is measure zero where of course the reals have infinite measure. i think it's simple and fair to say that if "life" universes make up something like the cantor set to the reals, you have a very solid interpretation of "most" universes not having life at all.
lwalker043 t1_jc61hvm wrote
Reply to comment by Ok_Tip5082 in A philosophical dive into “Everything Everywhere All at Once” by Azmisov
i agree with your decision to bring lebesgue measure into the conversation of "most", but i dont think that's the best example since the rationals have lebesgue measure as well as cardinality less than the reals.
a better example may be the cantor set and the reals: they have the same cardinality and yet the cantor set is measure zero where of course the reals have infinite measure. i think it's simple and fair to say that if "life" universes make up something like the cantor set to the reals, you have a very solid interpretation of "most" universes not having life at all.