Model-theoretic semantics and revenge paradoxes

Philosophical Studies 176 (4):1035-1054 (2019)
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Abstract

Revenge arguments purport to show that any proposed solution to the semantic paradoxes generates new paradoxes that prove that solution to be inadequate. In this paper, I focus on revenge arguments that employ the model-theoretic semantics of a target theory and I argue, contra the current revenge-theoretic wisdom, that they can constitute genuine expressive limitations. I consider the anti-revenge strategy elaborated by Field and argue that it does not offer a way out of the revenge problem. More generally, I argue that the difference between ‘standard’ and ‘revenge’ paradoxes is ill-conceived and should be abandoned. This will contribute to show that the theories that provide a uniform account of truth and other semantic notions are the ones best equipped to avoid the paradoxes altogether—‘standard’ and ‘revenge’ alike.

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Lorenzo Rossi
Università di Torino

Citations of this work

Paradoxicality Without Paradox.Lucas Rosenblatt - 2021 - Erkenntnis 88 (3):1347-1366.
A Unified Theory of Truth and Paradox.Lorenzo Rossi - 2019 - Review of Symbolic Logic 12 (2):209-254.

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References found in this work

The Philosophy of Philosophy.Timothy Williamson - 2007 - Malden, MA: Wiley-Blackwell.
Introduction to metamathematics.Stephen Cole Kleene - 1952 - Groningen: P. Noordhoff N.V..
Truth.Paul Horwich - 1990 - Oxford, GB: Clarendon Press. Edited by Frank Jackson & Michael Smith.
Saving truth from paradox.Hartry H. Field - 2008 - New York: Oxford University Press.

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