David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Journal of Philosophical Logic 32 (5):531-548 (2003)
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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Francesco Paoli (2007). Implicational Paradoxes and the Meaning of Logical Constants. Australasian Journal of Philosophy 85 (4):553 – 579.
Ole Thomassen Hjortland (2013). Logical Pluralism, Meaning-Variance, and VerbalDisputes. Australasian Journal of Philosophy 91 (2):355-373.
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