Comparing fixed-point and revision theories of truth

Journal of Philosophical Logic 38 (4):363-403 (2009)
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Abstract

In response to the liar’s paradox, Kripke developed the fixed-point semantics for languages expressing their own truth concepts. 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.

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Philip Kremer
University of Toronto at Scarborough

Citations of this work

Revision Without Revision Sequences: Self-Referential Truth.Edoardo Rivello - 2019 - Journal of Philosophical Logic 48 (3):523-551.
Guest Editors’ Introduction.Riccardo Bruni & Shawn Standefer - 2019 - Journal of Philosophical Logic 48 (1):1-9.
Contraction and Revision.Shawn Standefer - 2016 - Australasian Journal of Logic 13 (3):58-77.
A Unified Theory of Truth and Paradox.Lorenzo Rossi - 2019 - Review of Symbolic Logic 12 (2):209-254.
Revision Without Revision Sequences: Circular Definitions.Edoardo Rivello - 2019 - Journal of Philosophical Logic 48 (1):57-85.

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References found in this work

Outline of a Theory of Truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Philosophy of Logics.Susan Haack - 1978 - London and New York: Cambridge University Press.
The Revision Theory of Truth.Vann Mcgee - 1996 - Philosophy and Phenomenological Research 56 (3):727-730.

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