February 2023 Bicontextualism
Lorenzo Rossi
Author Affiliations +
Notre Dame J. Formal Logic 64(1): 95-127 (February 2023). DOI: 10.1215/00294527-2023-0004

Abstract

Can one quantify over absolutely everything? Absolutists answer positively, while relativists answer negatively. Here, I focus on the absolutism versus relativism debate in the framework of theories of truth, where relativism becomes a form of contextualism about truth predications. Contextualist theories of truth provide elegant and uniform solutions to the semantic paradoxes while preserving classical logic. However, they interpret harmless generalizations (such as “everything is self-identical”) in less than absolutely comprehensive domains, thus systematically misconstruing them. In this article, I show that contextualism is broadly compatible with absolute generality. More specifically, I develop a bipartite contextualist semantics, or “bicontextualism,” on which sentences are split in two groups: the unproblematic sentences, which are compatible with absolute generality, and the problematic ones, which are given a relativist semantics. I then argue that bicontextualism retains the advantages of (orthodox) contextualism and does not give rise to new revenge paradoxes.

Citation

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Lorenzo Rossi. "Bicontextualism." Notre Dame J. Formal Logic 64 (1) 95 - 127, February 2023. https://doi.org/10.1215/00294527-2023-0004

Information

Received: 8 November 2021; Accepted: 27 December 2022; Published: February 2023
First available in Project Euclid: 23 March 2023

MathSciNet: MR4564837
zbMATH: 07690434
Digital Object Identifier: 10.1215/00294527-2023-0004

Subjects:
Primary: 03A05 , 03B16
Secondary: 03B65

Keywords: absolute generality , paradoxes , quantifiers , Truth

Rights: Copyright © 2023 University of Notre Dame

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Vol.64 • No. 1 • February 2023
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