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Jack comments on Maximizing Cost-effectiveness via Critical Inquiry - Less Wrong
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Not in my comfort zone here, but surely you have to allow for probabilities of 0 when building any formal mathematical system. P(A|~A) has to be 0 or you can't do algebra. As an agent viewing the system on a meta level, I can't assign a personal probability of 0 to any proof, but within the system it needs to be allowable.
How to deal with deductive uncertainty is an open problem.