Ungroundedness in Tarskian Languages

Journal of Philosophical Logic 48 (3):603-609 (2019)
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Abstract

Several writers have assumed that when in “Outline of a Theory of Truth” I wrote that “the orthodox approach” – that is, Tarski’s account of the truth definition – admits descending chains, I was relying on a simple compactness theorem argument, and that non-standard models must result. However, I was actually relying on a paper on ‘pseudo-well-orderings’ by Harrison. The descending hierarchy of languages I define is a standard model. Yablo’s Paradox later emerged as a key to interpreting the result.

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Saul Kripke
Last affiliation: CUNY Graduate Center

Citations of this work

Semantics and Truth.Jan Woleński - 2019 - Cham, Switzerland: Springer Verlag.
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Alfred Tarski.Mario Gómez-Torrente - 2008 - Stanford Encyclopedia of Philosophy.
Self-referential theories.Samuel A. Alexander - 2020 - Journal of Symbolic Logic 85 (4):1687-1716.

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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.
Paradox without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251-252.
Axiomatic Theories of Truth.Volker Halbach - 2010 - Cambridge, England: Cambridge University Press.
Axiomatic theories of truth.Volker Halbach - 2008 - Stanford Encyclopedia of Philosophy.

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