On structural contraction and why it fails

Synthese 198 (3):2695-2720 (2019)
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Abstract

The goal of the paper is to discuss whether substructural non-contractive accounts of the truth-theoretic paradoxes can be philosophically motivated. First, I consider a number of explanations that have been offered to justify the failure of contraction and I argue that they are not entirely compelling. I then present a non-contractive theory of truth that I’ve proposed elsewhere. After looking at some of its formal properties, I suggest an explanation of the failure of structural contraction that is compatible with it.

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Author's Profile

Lucas Rosenblatt
Universidad de Buenos Aires (UBA)

Citations of this work

Paradoxicality Without Paradox.Lucas Rosenblatt - 2021 - Erkenntnis 88 (3):1347-1366.
Noncontractive Classical Logic.Lucas Rosenblatt - 2019 - Notre Dame Journal of Formal Logic 60 (4):559-585.
Systems for Non-Reflexive Consequence.Carlo Nicolai & Lorenzo Rossi - 2023 - Studia Logica 111 (6):947-977.

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References found in this work

Philosophy of logic.Willard Van Orman Quine - 1970 - Cambridge, Mass.: Harvard University Press. Edited by Simon Blackburn & Keith Simmons.
In contradiction: a study of the transconsistent.Graham Priest - 1987 - New York: Oxford University Press.
Saving truth from paradox.Hartry H. Field - 2008 - New York: Oxford University Press.
An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - New York: Cambridge University Press.

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