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The liar paradox and fuzzy logic
Journal of Symbolic Logic 65 (1):339-346 (2000)
Abstract
Can one extend crisp Peano arithmetic PA by a possibly many-valued predicate Tr(x) saying "x is true" and satisfying the "dequotation schema" $\varphi \equiv \text{Tr}(\bar{\varphi})$ for all sentences φ? This problem is investigated in the frame of Lukasiewicz infinitely valued logicAuthor's Profile
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Citations of this work
A revenge-immune solution to the semantic paradoxes.Hartry Field - 2003 - Journal of Philosophical Logic 32 (2):139-177.
Naive truth and restricted quantification: Saving truth a whole lot better.Hartry Field - 2014 - Review of Symbolic Logic 7 (1):1-45.
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