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Mark: well, I see two options here. Either randomness is merely a representation of our lack of knowledge (after all, the probability distributions you describe are only meaningful in the context of gaining knowledge, i.e. experiment), which would seem to suggest hidden variables are required to invoke a BW, or the multiverse exists in order to account for all possible outcomes simultaneously. The BW assumes that everything simply exists, i.e. time doesn’t flow, there’s no sense of “becoming” as Ken puts it. The only way I can see to reconcile that with quantum randomness is either hidden variables or the multiverse. Neither is particularly appealing to me.