Synthese 148 (3):525-571 (2006)

Abstract
The standard approach to what I call “proof-theoretic semantics”, which is mainly due to Dummett and Prawitz, attempts to give a semantics of proofs by defining what counts as a valid proof. After a discussion of the general aims of proof-theoretic semantics, this paper investigates in detail various notions of proof-theoretic validity and offers certain improvements of the definitions given by Prawitz. Particular emphasis is placed on the relationship between semantic validity concepts and validity concepts used in normalization theory. It is argued that these two sorts of concepts must be kept strictly apart.
Keywords Philosophy   Philosophy   Epistemology   Logic   Metaphysics   Philosophy of Language
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DOI 10.1007/s11229-004-6296-1
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References found in this work BETA

The Logical Basis of Metaphysics.Michael Dummett - 1991 - Harvard University Press.
Natural Deduction: A Proof-Theoretical Study.Dag Prawitz - 1965 - Stockholm, Sweden: Dover Publications.
The Taming of the True.Neil Tennant - 1997 - Oxford, England: Oxford University Press.
The Concept of Logical Consequence.John Etchemendy - 1990 - Harvard University Press.

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Citations of this work BETA

Inferentialism: Why Rules Matter.Jaroslav Peregrin - 2014 - London and New York: Palgrave-Macmillan.
Anything Goes.David Ripley - 2015 - Topoi 34 (1):25-36.
Advances in Proof-Theoretic Semantics.Peter Schroeder-Heister & Thomas Piecha (eds.) - 2015 - Cham, Switzerland: Springer Verlag.
Some Concerns Regarding Ternary-Relation Semantics and Truth-Theoretic Semantics in General.Ross T. Brady - 2017 - IfCoLog Journal of Logics and Their Applications 4 (3):755--781.

View all 49 citations / Add more citations

Similar books and articles

Proof-Theoretic Semantics.Peter Schroeder-Heister - forthcoming - Stanford Encyclopedia of Philosophy.
Some Problems for Proof-Theoretic Semantics.William R. Stirton - 2008 - Philosophical Quarterly 58 (231):278–298.

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