Comparing fixed-point and revision theories of truth

Journal of Philosophical Logic 38 (4):363 - 403 (2009)
Abstract
In response to the liar’s paradox, Kripke developed the fixed-point semantics for languages expressing their own truth concepts. (Martin and Woodruff independently developed this semantics, but not to the same extent as Kripke.) Kripke’s work suggests a number of related fixed-point theories of truth for such languages. Gupta and Belnap develop their revision theory of truth in contrast to the fixed-point theories. The current paper considers three natural ways to compare the various resulting theories of truth, and establishes the resulting relationships among these theories. The point is to get a sense of the lay of the land amid a variety of options. Our results will also provide technical fodder for the methodological remarks of the companion paper to this one.
Keywords Fixed-point theory  Revision theory  Truth
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References found in this work BETA
Dorothy Grover (1977). Inheritors and Paradox. Journal of Philosophy 74 (10):590-604.
Susan Haack (1978). Philosophy of Logics. Cambridge University Press.

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