There are a number of variants of frequentism, would you include hypothetical frequentism with a time-ordering? Namely, the idea that probability should be understood in terms of a hypothetical scenario where we could do an unending number of trials, such that if the frequency of some outcome in the first N trials is f_N (with 'first N' defined in terms of the time they occurred, not some other ordering), then the probability of that outcome would be defined as the limit of f_N as N approaches infinity. In this case I don't see why an infinite set of possible outcomes should be a problem--if each outcome has some finite probability, that means the number of trials with that specific outcome approaches infinity in the limit as the total number of trials approaches infinity, and the relative frequencies of any given pair of outcomes should approach the ratio of their probabilities according to QM laws.
On Sun, Dec 4, 2022 at 11:24 PM Alan Grayson <agrayson2...@gmail.com> wrote: > How can the frequentist theory of probability be applied to a system, such > as the H atom, which has an infinite set of possible outcomes for all > energy level transitions? AG > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to everything-list+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/everything-list/3de79f33-363c-4e00-aa0c-350432de25e6n%40googlegroups.com > <https://groups.google.com/d/msgid/everything-list/3de79f33-363c-4e00-aa0c-350432de25e6n%40googlegroups.com?utm_medium=email&utm_source=footer> > . > -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to everything-list+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAPCWU3J8Sq9vdHPJi7WqNT%2Bh4pW70JeMbFaxsveAjW0j8guryg%40mail.gmail.com.
