A Theory of Truth that Prefers Falsehood
- Melvin Fitting
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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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- A Theory of Truth that Prefers Falsehood
Journal of Philosophical Logic
Volume 26, Issue 5 , pp 477-500
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- Kluwer Academic Publishers
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- Melvin Fitting (1) (2)
- Author Affiliations
- 1. Dept. Mathematics and Computer Science, Lehman College (CUNY), Bronx, NY, 10468
- 2. Depts. Computer Science, Philosophy, Mathematics, Graduate Center (CUNY), 33 West 42nd Street, NYC, NY, 10036