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 logic
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DOI 10.2307/2586541
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References found in this work BETA
Fuzzy Logic and Arithmetical Hierarchy, II.Petr Hájek - 1997 - Studia Logica 58 (1):129-141.

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Citations of this work BETA
Curry's Paradox and Omega Inconsistency.Andrew Bacon - 2013 - Studia Logica 101 (1):1-9.
True, False and Paranormal.Jc Beall - 2006 - Analysis 66 (290):102–114.
On the Probabilistic Convention T.Hannes Leitgeb - 2008 - Review of Symbolic Logic 1 (2):218-224.

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