A Unified Theory of Truth and Paradox

Review of Symbolic Logic 12 (2):209-254 (2019)
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Abstract

The sentences employed in semantic paradoxes display a wide range of semantic behaviours. However, the main theories of truth currently available either fail to provide a theory of paradox altogether, or can only account for some paradoxical phenomena by resorting to multiple interpretations of the language. In this paper, I explore the wide range of semantic behaviours displayed by paradoxical sentences, and I develop a unified theory of truth and paradox, that is a theory of truth that also provides a unified account of paradoxical sentences. The theory I propose here yields a threefold classification of paradoxical sentences – liar-like sentences, truth-teller-like sentences, and revenge sentences. Unlike existing treatments of semantic paradox, the theory put forward in this paper yields a way of interpreting all three kinds of paradoxical sentences, as well as unparadoxical sentences, within a single model.

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Lorenzo Rossi
Università di Torino

Citations of this work

The Structure of Paradoxes in a Logic of Sentential Operators.Michał Walicki - 2024 - Journal of Philosophical Logic 53 (6):1579-1639.
Bicontextualism.Lorenzo Rossi - 2023 - Notre Dame Journal of Formal Logic 64 (1):95-127.

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References found in this work

Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Truth and meaning.Donald Davidson - 1967 - Synthese 17 (1):304-323.
The logic of paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
Paradox without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251-252.
Tolerant, Classical, Strict.Pablo Cobreros, Paul Egré, David Ripley & Robert van Rooij - 2012 - Journal of Philosophical Logic 41 (2):347-385.

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