I agree that a good Bayesian should grant the hypothesis of continuity nonzero credence, as well as other ways the universe can be infinite. I think the critique will be more compelling if it was framed as “there’s a small chance the universe is infinite, Bayesian consequentialism by default will incorporate small probability of infinity, the decision theory can potentially blow up under those constraints “
Then we see that this is a special unresolved case of infinity (which is likely an issue with many other decision theories) rather than a claim that the universe is by its very nature infinitely non-measurable and thus not subject to evaluation, which is quite an intuitively extreme stance!
(The specialness of this critique makes it clearer where the burden of proof is, akin to “our modest epistemology forces us to believe that the stars do not exist).
I agree that a good Bayesian should grant the hypothesis of continuity nonzero credence, as well as other ways the universe can be infinite. I think the critique will be more compelling if it was framed as “there’s a small chance the universe is infinite, Bayesian consequentialism by default will incorporate small probability of infinity, the decision theory can potentially blow up under those constraints “
Then we see that this is a special unresolved case of infinity (which is likely an issue with many other decision theories) rather than a claim that the universe is by its very nature infinitely non-measurable and thus not subject to evaluation, which is quite an intuitively extreme stance!
(The specialness of this critique makes it clearer where the burden of proof is, akin to “our modest epistemology forces us to believe that the stars do not exist).