Yablo's paradox and Kindred infinite liars

Mind 107 (425):137-155 (1998)
  Copy   BIBTEX

Abstract

This is a defense and extension of Stephen Yablo's claim that self-reference is completely inessential to the liar paradox. An infinite sequence of sentences of the form 'None of these subsequent sentences are true' generates the same instability in assigning truth values. I argue Yablo's technique of substituting infinity for self-reference applies to all so-called 'self-referential' paradoxes. A representative sample is provided which includes counterparts of the preface paradox, Pseudo-Scotus's validity paradox, the Knower, and other enigmas of the genre. I rebut objections that Yablo's paradox is not a genuine liar by constructing a sequence of liars that blend into Yablo's paradox. I rebut objections that Yablo's liar has hidden self-reference with a distinction between attributive and referential self-reference and appeals to Gregory Chaitin's algorithmic information theory. The paper concludes with comments on the mystique of self-reference.

Other Versions

No versions found

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 100,830

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Equiparadoxicality of Yablo’s Paradox and the Liar.Ming Hsiung - 2013 - Journal of Logic, Language and Information 22 (1):23-31.
Yablo's paradox and referring to infinite objects.O. Bueno & M. Colyvan - 2003 - Australasian Journal of Philosophy 81 (3):402 – 412.
Yablo’s Paradox and Circulus Vitiosus: Why Lie about Yourself When You Can Lie about Everyone Else?Andrei Nekhaev - 2019 - Tomsk State University Journal of Philosophy, Sociology and Political Science 13 (50):255-261.
What Paradoxes Depend on.Ming Hsiung - 2018 - Synthese:1-27.
Rosser-Type Undecidable Sentences Based on Yablo’s Paradox.Taishi Kurahashi - 2014 - Journal of Philosophical Logic 43 (5):999-1017.
Yablo's paradox and forcing.Shimon Garti - 2021 - Thought: A Journal of Philosophy 10 (1):28-32.

Analytics

Added to PP
2009-01-28

Downloads
197 (#125,158)

6 months
28 (#119,353)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Roy Sorensen
University of Texas at Austin

Citations of this work

What Truth Depends on.Hannes Leitgeb - 2005 - Journal of Philosophical Logic 34 (2):155-192.
A new solution to the paradoxes of rational acceptability.Igor Douven - 2002 - British Journal for the Philosophy of Science 53 (3):391-410.
Circularity and Paradox.Stephen Yablo - 2008 - In Thomas Bolander (ed.), Self-reference. Center for the Study of Language and Inf. pp. 139--157.
Fitch's proof, verificationism, and the knower paradox.J. C. Beall - 2000 - Australasian Journal of Philosophy 78 (2):241 – 247.
What Paradoxes Depend on.Ming Hsiung - 2018 - Synthese:1-27.

View all 51 citations / Add more citations

References found in this work

Demonstratives: An Essay on the Semantics, Logic, Metaphysics and Epistemology of Demonstratives and other Indexicals.David Kaplan - 1989 - In Joseph Almog, John Perry & Howard Wettstein (eds.), Themes From Kaplan. New York: Oxford University Press. pp. 481-563.
Reference and definite descriptions.Keith S. Donnellan - 1966 - Philosophical Review 75 (3):281-304.
Blindspots.Roy A. Sorensen - 1988 - New York: Oxford University Press.

View all 31 references / Add more references