>However, what you are saying is essentially the MWI.
No it isn’t—MWI has to do with quantum effects and that scenario doesn’t involve any. You can’t argue against MWI on the basis of contingent quantum facts (which you effectively did when pointing to a “major ongoing debate” about MWI probability—that debate is contingent on quantum idiosyncrasies) , and then say those arguments apply to any multiverse.
>It is saying the choice of reference class, under some conditions, would not change the numerical value of probability. Because the effect of the choice cancels out in problems such as sleeping beauty and doomsday argument. Not that there is no reference class to begin with.
If the choice of reference class doesn’t matter, then you don’t need a reference class. You can formulate it to not require a reference class, as I did. Certainly there’s no problem of arbitrary picking of reference classes if it literally doesn’t make a difference to the answer.
The only restriction is that it must contain all subjectively indistinguishable observers—which is equivalent to saying it’s possible for “me” to be any observer that I don’t “know” that I’m not—which is almost tautological (don’t assume something that you don’t know). It isn’t arbitrary to accept a tautological restriction here.
>However, what you are saying is essentially the MWI.
No it isn’t—MWI has to do with quantum effects and that scenario doesn’t involve any. You can’t argue against MWI on the basis of contingent quantum facts (which you effectively did when pointing to a “major ongoing debate” about MWI probability—that debate is contingent on quantum idiosyncrasies) , and then say those arguments apply to any multiverse.
>It is saying the choice of reference class, under some conditions, would not change the numerical value of probability. Because the effect of the choice cancels out in problems such as sleeping beauty and doomsday argument. Not that there is no reference class to begin with.
If the choice of reference class doesn’t matter, then you don’t need a reference class. You can formulate it to not require a reference class, as I did. Certainly there’s no problem of arbitrary picking of reference classes if it literally doesn’t make a difference to the answer.
The only restriction is that it must contain all subjectively indistinguishable observers—which is equivalent to saying it’s possible for “me” to be any observer that I don’t “know” that I’m not—which is almost tautological (don’t assume something that you don’t know). It isn’t arbitrary to accept a tautological restriction here.
I’ll respond to the paradoxes separately.