Bulletin of Symbolic Logic

Games for truth

P. D. Welch

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

Article information

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

Dates
First available in Project Euclid: 14 October 2009

Permanent link to this document
http://projecteuclid.org/euclid.bsl/1255526080

Digital Object Identifier
doi:10.2178/bsl/1255526080

Mathematical Reviews number (MathSciNet)
MR2723558

Zentralblatt MATH identifier
05654341

Keywords
Theory of truth games determinacy

Citation

Welch, P. D. Games for truth. Bull. Symbolic Logic 15 (2009), no. 4, 410--427. doi:10.2178/bsl/1255526080. http://projecteuclid.org/euclid.bsl/1255526080.