Proof-Theoretic Semantics, a Problem with Negation and Prospects for Modality

Journal of Philosophical Logic 44 (6):713-727 (2015)
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Abstract
This paper discusses proof-theoretic semantics, the project of specifying the meanings of the logical constants in terms of rules of inference governing them. I concentrate on Michael Dummett’s and Dag Prawitz’ philosophical motivations and give precise characterisations of the crucial notions of harmony and stability, placed in the context of proving normalisation results in systems of natural deduction. I point out a problem for defining the meaning of negation in this framework and prospects for an account of the meanings of modal operators in terms of rules of inference
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First archival date: 2014-01-29
Latest version: 2 (2019-04-27)
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References found in this work BETA
The Logical Basis of Metaphysics.Dummett, Michael; Putnam, Hilary & Conant, James
Yes and No.Rumfitt, I.

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Citations of this work BETA
General-Elimination Stability.Jacinto, Bruno Miguel & Read, Stephen Louis
Logicality, Double-Line Rules, and Modalities.Gratzl, Norbert & Orlandelli, Eugenio

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