Bulletin of Symbolic Logic 15 (4):410-427 (2009)

Abstract
We represent truth sets for a variety of the well known semantic theories of truth as those sets consisting of all sentences for which a player has a winning strategy in an infinite two person game. The classifications of the games considered here are simple, those over the natural model of arithmetic being all within the arithmetical class of $\Sum_{3}^{0}$
Keywords Theory of truth   games   determinacy
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DOI 10.2178/bsl/1255526080
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References found in this work BETA

Outline of a Theory of Truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Elementary Induction on Abstract Structures.Yiannis Nicholas Moschovakis - 1974 - Amsterdam, Netherlands: Dover Publications.
Notes on Naive Semantics.Hans Herzberger - 1982 - Journal of Philosophical Logic 11 (1):61 - 102.
What Truth Depends On.Hannes Leitgeb - 2005 - Journal of Philosophical Logic 34 (2):155-192.
Axiomatizing Kripke’s Theory of Truth.Volker Halbach & Leon Horsten - 2006 - Journal of Symbolic Logic 71 (2):677 - 712.

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Citations of this work BETA

A Graph-Theoretic Analysis of the Semantic Paradoxes.Timo Beringer & Thomas Schindler - 2017 - Bulletin of Symbolic Logic 23 (4):442-492.
Guest Editors’ Introduction.Riccardo Bruni & Shawn Standefer - 2019 - Journal of Philosophical Logic 48 (1):1-9.
Some Observations on Truth Hierarchies.P. D. Welch - 2014 - Review of Symbolic Logic 7 (1):1-30.
Truth, Dependence and Supervaluation: Living with the Ghost.Toby Meadows - 2013 - Journal of Philosophical Logic 42 (2):221-240.

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