I donât think the case for infinities is defeated by rejecting âyou canât assign probability 0 to any coherent hypothesisâ (Cromwellâs rule), although I do endorse something like Cromwellâs rule. I think infinities probably actually exist, e.g. the universe is probably actually infinite in spatial extent (see the discussion here; globally flat is consistent with the evidence so far, and bounded flat universes are much weirder to me than infinite ones). This can matter if you take acausal influence, e.g. evidential decision theory, seriously. You need to aggregate in special ways (I like expansionism, although it doesnât cover all cases) or ignore the infinities to avoid all of your actions having undefined expected value, because your decisions are probably correlated with infinitely many other peopleâs in an infinite universe.
Itâs also plausible that spacetime is continuous, although ethical concerns probably only have finitely many degrees of freedom locally, and this wouldnât generate infinite EVs in bounded regions of spacetime.
I donât think the case for infinities is defeated by rejecting âyou canât assign probability 0 to any coherent hypothesisâ (Cromwellâs rule), although I do endorse something like Cromwellâs rule. I think infinities probably actually exist, e.g. the universe is probably actually infinite in spatial extent (see the discussion here; globally flat is consistent with the evidence so far, and bounded flat universes are much weirder to me than infinite ones). This can matter if you take acausal influence, e.g. evidential decision theory, seriously. You need to aggregate in special ways (I like expansionism, although it doesnât cover all cases) or ignore the infinities to avoid all of your actions having undefined expected value, because your decisions are probably correlated with infinitely many other peopleâs in an infinite universe.
Itâs also plausible that spacetime is continuous, although ethical concerns probably only have finitely many degrees of freedom locally, and this wouldnât generate infinite EVs in bounded regions of spacetime.