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PhilGoetz comments on Deleting paradoxes with fuzzy logic - Less Wrong
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On the topic of fuzzy logic: Is there a semantics for fuzzy logic in which the fuzzy truth value of the statement "predicate P is true of object x" is the expected value of P(x) after marginalizing out a prior belief distribution over possible hidden crisp definitions of P?
Yes, because probabilistic logic is a special case of fuzzy logic. (The phrase "special case" is odd, because you could argue that it's simply the correct case, and all others are wrong.)