Games for truth

P. D. Welch
Source: Bull. Symbolic Logic Volume 15, Issue 4 (2009), 410-427.

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 $\Sigma_{0}^{3}$.

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