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

Citations of this work

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Curry’s Paradox and ω -Inconsistency.Andrew Bacon - 2013 - Studia Logica 101 (1):1-9.
Paths to Triviality.Tore Fjetland Øgaard - 2016 - Journal of Philosophical Logic 45 (3):237-276.

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References found in this work

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

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