Yablo's paradox and referring to infinite objects

Australasian Journal of Philosophy 81 (3):402 – 412 (2003)
  Copy   BIBTEX

Abstract

The blame for the semantic and set-theoretic paradoxes is often placed on self-reference and circularity. Some years ago, Yablo [1985; 1993] challenged this diagnosis, by producing a paradox that's liar-like but does not seem to involve circularity. But is Yablo's paradox really non-circular? In a recent paper, Beall [2001] has suggested that there are no means available to refer to Yablo's paradox without invoking descriptions, and since Priest [1997] has shown that any such description is circular, Beall concludes that Yablo's paradox itself is circular. In this paper, we argue that Beall's conclusion is unwarranted, given that (1) descriptions are not the only way to refer to Yablo's paradox, and (ii) we have no reason to believe that because the description involves self-reference, the denotation of the description is also circular. As a result, for all that's been said so far, we have no reason to believe that Yablo's paradox is circular

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,931

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

Ungrounded Causal Chains and Beginningless Time.Laureano Luna - 2009 - Logic and Logical Philosophy 18 (3-4):297-307.
Bueno and Colyvan on Yablo’s Paradox.Jeffrey Ketland - 2004 - Analysis 64 (2):165–172.
Is yablo’s paradox non-circular?J. Beall - 2001 - Analysis 61 (3):176–87.
Circularity and Paradox.Stephen Yablo - 2006 - In Thomas Bolander, Vincent F. Hendricks & Stig Andur Pedersen (eds.), Self-Reference. CSLI Publications. pp. 139--157.
Variations on a theme by Yablo.Hartry Field - 2005 - In J. C. Beall & Bradley Armour-Garb (eds.), Deflationism and Paradox. Clarendon Press. pp. 53–74.

Analytics

Added to PP
2010-05-07

Downloads
96 (#183,618)

6 months
16 (#172,308)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

Mark Colyvan
University of Sydney
Otávio Bueno
University of Miami

Citations of this work

Equiparadoxicality of Yablo’s Paradox and the Liar.Ming Hsiung - 2013 - Journal of Logic, Language and Information 22 (1):23-31.
Paradox by definition.H. Leitgeb - 2005 - Analysis 65 (4):275-278.
Paradox by (non-wellfounded) definition.Hannes Leitgeb - 2005 - Analysis 65 (4):275–278.

View all 8 citations / Add more citations

References found in this work

Paradox without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251-252.
Truth and reflection.Stephen Yablo - 1985 - Journal of Philosophical Logic 14 (3):297 - 349.
Yablo’s paradox.Graham Priest - 1997 - Analysis 57 (4):236–242.
Yablo's paradox.Graham Priest - 1997 - Analysis 57 (4):236-242.

View all 8 references / Add more references