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komponisto comments on St. Petersburg Mugging Implies You Have Bounded Utility - Less Wrong
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So how do you determine which claims you are giving a prior probability of zero and which you don't?
This connects to a deep open problem- how do we assign probabilities to the chances that we've made a logical error or miscalculated. However, even if one is willing to assign zero probability to events that contain inherent logical contradictions, that's not at all the same as assigning zero probability to a claim about the empirical world.
If claims about the empirical world can have arbitrarily small probability, then a suitable infinite conjunction of such claims has probability zero, just as surely as P(A&~A) does.