DanielLC comments on Unconditionally Convergent Expected Utility - Less Wrong Discussion
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Using priors that allow for unconditionally convergent expected utility.
I don't understand what you mean. The set I'm using is the largest possible set for which all of those axioms are true. If I use one with utility that increases/decreases without limit, axiom 3 (along with 3') is false. If I use one with utility that doesn't converge unconditionally, axiom 2 is false.