Synthese 198 (1):615-640 (2018)

Authors
Francesco Paoli
Universita di Cagliari
Bogdan Dicher
Universidade de Lisboa
Abstract
Proof-theoretic semantics is an alternative to model-theoretic semantics. It aims at explaining the meaning of the logical constants in terms of the inference rules that govern their behaviour in proofs. We argue that this must be construed as the task of explaining these meanings relative to a logic, i.e., to a consequence relation. Alas, there is no agreed set of properties that a relation must have in order to qualify as a consequence relation. Moreover, the association of a consequence relation to a logical calculus is not as straightforward as it may seem. We show that these facts are problematic for the proof-theoretic project but the problems can be solved. Our thesis is that the consequence relation relevant for proof-theoretic semantics is the one given by the sequent-to-sequent derivability relation in Gentzen systems.
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DOI 10.1007/s11229-018-02048-x
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References found in this work BETA

The Logical Basis of Metaphysics.Michael Dummett - 1991 - Harvard University Press.
Philosophy of Logic.W. V. Quine - 1970 - Harvard University Press.
Natural Deduction: A Proof-Theoretical Study.Dag Prawitz - 1965 - Stockholm, Sweden: Dover Publications.
Logical Pluralism.Jc Beall & Greg Restall - 2005 - Oxford, England: Oxford University Press.

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Citations of this work BETA

Disagreement About Logic From a Pluralist Perspective.Erik Stei - 2020 - Philosophical Studies 177 (11):3329-3350.

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