The liar paradox and fuzzy logic

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2000 English Publisher:Cambridge University Press (CUP)Journal:Journal of Symbolic Logic, volume 65, pages 339-346 (issn: 0022-4812, eissn: 1943-5886,

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Authors: Petr Hájek 0001; Jeff B. Paris; John C. Shepherdson;

doi: 10.2307/2586541

The liar paradox and fuzzy logic

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Abstract

AbstractCan one extend crisp Peano arithmetic PA by a possibly many-valued predicate Tr(x) saying “xis true” and satisfying the “dequotation schema”for all sentences φ? This problem is investigated in the frame of Łukasiewicz infinitely valued logic.

Related Organizations

Czech Academy of Sciences
Czech Republic
University of Manchester
United Kingdom
University of Manchester
United Kingdom
University of Bristol
United Kingdom

Keywords

First-order arithmetic and fragments, Many-valued logic, unary truth predicate, Łukasiewicz infinitely valued logic, Fuzzy logic; logic of vagueness, many-valued predicate, extension of Peano arithmetic

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