Expressibility and the Liar's Revenge

Australasian Journal of Philosophy 89 (2):297-314 (2011)
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Abstract

There is a standard objection against purported explanations of how a language L can express the notion of being a true sentence of L. According to this objection, such explanations avoid one paradox (the Liar) only to succumb to another of the same kind. Even if L can contain its own truth predicate, we can identify another notion it cannot express, on pain of contradiction via Liar-like reasoning. This paper seeks to undermine such ‘revenge’ by arguing that it presupposes a dubious assumption about the linguistic expression of concepts. Successful revenge would require that there be a notion other than truth that plays the same role with respect to concept-expression that truth is naturally thought to play before we are confronted with the Liar paradox.

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Lionel Shapiro
University of Connecticut

Citations of this work

Two Flavors of Curry’s Paradox.Jc Beall & Julien Murzi - 2013 - Journal of Philosophy 110 (3):143-165.
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Swyneshed Revisited.Alexander Sandgren - forthcoming - Ergo: An Open Access Journal of Philosophy.

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References found in this work

Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Logic, semantics, metamathematics.Alfred Tarski - 1956 - Oxford,: Clarendon Press. Edited by John Corcoran & J. H. Woodger.
Saving truth from paradox.Hartry Field - 2008 - New York: Oxford University Press.
Spandrels of truth.J. C. Beall - 2009 - New York: Oxford University Press.

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