Games for truth

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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A Graph-Theoretic Analysis of the Semantic Paradoxes.Timo Beringer & Thomas Schindler - 2017 - Bulletin of Symbolic Logic 23 (4):442-492.
Infinitary Tableau for Semantic Truth.Toby Meadows - 2015 - Review of Symbolic Logic 8 (2):207-235.
Some Observations on Truth Hierarchies.P. D. Welch - 2014 - Review of Symbolic Logic 7 (1):1-30.
The Complexity of the Dependence Operator.P. D. Welch - 2015 - Journal of Philosophical Logic 44 (3):337-340.
Truth, Dependence and Supervaluation: Living with the Ghost.Toby Meadows - 2013 - Journal of Philosophical Logic 42 (2):221-240.

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