Truth Values. Part I

Studia Logica 91 (3):429-455 (2009)
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Abstract

The famous “slingshot argument” developed by Church, Gödel, Quine and Davidson is often considered to be a formally strict proof of the Fregean conception that all true sentences, as well as all false ones, have one and the same denotation, namely their corresponding truth value: the true or the false. In this paper we examine the analysis of the slingshot argument by means of a non-Fregean logic undertaken recently by A.Wóitowicz and put to the test her claim that the slingshot argument is in fact circular and presupposes what it intends to prove. We show that this claim is untenable. Nevertheless, the language of non-Fregean logic can serve as a useful tool for representing the slingshot argument, and several versions of the slingshot argument in non-Fregean logics are presented. In particular, a new version of the slingshot argument is presented, which can be circumvented neither by an appeal to a Russellian theory of definite descriptions nor by resorting to an analogous “Russellian” theory of λ–terms.

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Author Profiles

Yaroslav Shramko
Kryvyi Rih State Pedagogical University, Ukraine
Heinrich Wansing
Ruhr-Universität Bochum

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Do We Need Mathematical Facts?Wojciech Krysztofiak - 2014 - History and Philosophy of Logic 35 (1):1-32.
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References found in this work

Truth and meaning.Donald Davidson - 1967 - Synthese 17 (1):304-323.
Truth and meaning.Donald Davidson - 1967 - Synthese 17 (1):304-323.
True to the facts.Donald Davidson - 1969 - Journal of Philosophy 66 (21):748-764.
Semantic Innocence and Uncompromising Situations.Jon Barwise & John Perry - 1981 - Midwest Studies in Philosophy 6 (1):387-404.

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