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A Theory of Truth That Prefers Falsehood

Melvin Fitting
Journal of Philosophical Logic
Vol. 26, No. 5 (Oct., 1997), pp. 477-500
Published by: Springer
Stable URL: http://www.jstor.org/stable/30226621
Page Count: 24
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A Theory of Truth That Prefers Falsehood
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Abstract

We introduce a subclass of Kripke's fixed points in which falsehood is the preferred truth value. In all of these the truthteller evaluates to false, while the liar evaluates to undefined (or overdefined). The mathematical structure of this family of fixed points is investigated and is shown to have many nice features. It is noted that a similar class of fixed points, preferring truth, can also be studied. The notion of intrinsic is shown to relativize to these two subclasses. The mathematical ideas presented here originated in investigations of so-called stable models in the semantics of logic programming.

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