Regarding the first point: there’s a common confusion, which I’ll call the Infinite Monkeys Fallacy, which says that if X is a truly infinite set, then it must eventually/somewhere contain a∈X for all a. This is confusing because, while there is an Infinite Monkey Theorem (saying that, as the number of independent samples from a uniform distribution goes to infinity, the probability that any given string of samples goes to 1), its independence and support assumptions don’t generalize to infinite situations in general. A simple counterexample is that the set of all even numbers is infinite, yet never contains a single odd number. Infinite sets of parallel universes need not contain a single universe in which the Brooklyn Bridge is made of cheese. Nor does an infinite set of moral-patient experiences necessarily contain the experience of eating the Brooklyn Bridge. Even the pigeonhole principle doesn’t necessarily apply here, because identical moral-patient experiences can count separately—so an infinite(ly indexed) set of moral-patient experiences could even contain just one actual experience, copied ω times.
Regarding the first point: there’s a common confusion, which I’ll call the Infinite Monkeys Fallacy, which says that if X is a truly infinite set, then it must eventually/somewhere contain a∈X for all a. This is confusing because, while there is an Infinite Monkey Theorem (saying that, as the number of independent samples from a uniform distribution goes to infinity, the probability that any given string of samples goes to 1), its independence and support assumptions don’t generalize to infinite situations in general. A simple counterexample is that the set of all even numbers is infinite, yet never contains a single odd number. Infinite sets of parallel universes need not contain a single universe in which the Brooklyn Bridge is made of cheese. Nor does an infinite set of moral-patient experiences necessarily contain the experience of eating the Brooklyn Bridge. Even the pigeonhole principle doesn’t necessarily apply here, because identical moral-patient experiences can count separately—so an infinite(ly indexed) set of moral-patient experiences could even contain just one actual experience, copied ω times.