Proof-theoretic pluralism

Synthese 198 (Suppl 20):4879-4903 (2019)
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Abstract

Starting from a proof-theoretic perspective, where meaning is determined by the inference rules governing logical operators, in this paper we primarily aim at developing a proof-theoretic alternative to the model-theoretic meaning-invariant logical pluralism discussed in Beall and Restall. We will also outline how this framework can be easily extended to include a form of meaning-variant logical pluralism. In this respect, the framework developed in this paper—which we label two-level proof-theoretic pluralism—is much broader in scope than the one discussed in Beall and Restall’s book.

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Author Profiles

Eugenio Orlandelli
University of Bologna
Filippo Ferrari
University of Bologna

Citations of this work

Limits of Abductivism About Logic.Ulf Hlobil - 2020 - Philosophy and Phenomenological Research 103 (2):320-340.
What Logical Evidence Could not be.Matteo Baggio - 2023 - Philosophia 51 (5):2559–2587.

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References found in this work

The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge, Mass.: Harvard University Press.
Logic, semantics, metamathematics.Alfred Tarski - 1956 - Oxford,: Clarendon Press. Edited by John Corcoran & J. H. Woodger.
The taming of the true.Neil Tennant - 1997 - New York: Oxford University Press.
Varieties of Logic.Stewart Shapiro - 2014 - Oxford and New York: Oxford University Press.

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