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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.

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Ok_Tip5082 t1_jc6amn6 wrote

Yeah, you bring up some great points. Honestly I would want to go the opposite direction though and compare growth rates of functions, many classes of which tend to infinity but at vastly different rates.

I totally tried to get a better example but then went on a wiki binge and got lost around the page of hyperbolic growth which contrasts itself against exponential and logistic growth then found my way to robert miles again,....

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