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9775 | Excluded Middle, and classical logic, may fail for vague predicates [Fine,K] |
Full Idea: Maybe classical logic fails for vagueness in Excluded Middle. If 'H bald ∨ ¬(H bald)' is true, then one disjunct is true. But if the second is true the first is false, and the sentence is either true or false, contrary to the borderline assumption. | |
From: Kit Fine (Vagueness, Truth and Logic [1975], 4) | |
A reaction: Fine goes on to argue against the implication that we need a special logic for vague predicates. |