Quine and Slater on paraconsistency and deviance

Journal of Philosophical Logic 32 (5):531-548 (2003)

Abstract
In a famous and controversial paper, B. H. Slater has argued against the possibility of paraconsistent logics. Our reply is centred on the distinction between two aspects of the meaning of a logical constant *c* in a given logic: its operational meaning, given by the operational rules for *c* in a cut-free sequent calculus for the logic at issue, and its global meaning, specified by the sequents containing *c* which can be proved in the same calculus. Subsequently, we use the same strategy to counter Quine's meaning variance argument against deviant logics. In a nutshell, we claim that genuine rivalry between (similar) logics *L* and *L'* is possible whenever each constant in *L* has the same operational meaning as its counterpart in *L'* although differences in global meaning arise in at least one case
Keywords deviant logics  logical pluralism  paraconsistent logics  proof-theoretic semantics  Quine  substructural logics
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Reprint years 2004
DOI 10.1023/A:1025648722188
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References found in this work BETA

Word and Object.W. QUINE - 1960 - MIT Press.
Truth and Other Enigmas.Michael A. E. Dummett - 1978 - Harvard University Press.
Philosophy of Logic.W. V. O. Quine - 1970 - Harvard University Press.
The Logic of Paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.

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Citations of this work BETA

Logical Pluralism, Meaning-Variance, and VerbalDisputes.Ole Thomassen Hjortland - 2013 - Australasian Journal of Philosophy 91 (2):355-373.
The Logics of Strict-Tolerant Logic.Eduardo Barrio, Lucas Rosenblatt & Diego Tajer - 2015 - Journal of Philosophical Logic 44 (5):551-571.
Change of Logic, Change of Meaning.Jared Warren - 2018 - Philosophy and Phenomenological Research 96 (2):421-442.
Implicational Paradoxes and the Meaning of Logical Constants.Francesco Paoli - 2007 - Australasian Journal of Philosophy 85 (4):553 – 579.

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