The liar paradox and fuzzy logic

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Journal of Symbolic Logic 65 (1):339-346 (2000)
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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 logic

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10.2307/2586541

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Jeffrey Paris
University of Manchester

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Fuzzy logic and arithmetical hierarchy, II.Petr Hájek - 1997 - Studia Logica 58 (1):129-141.

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