Yablo's paradox and referring to infinite objects

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

Authors
Otávio Bueno
University of Miami
Mark Colyvan
University of Sydney
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
Keywords 440106 Logic  C1  Philosophy   Liar Paradox  780199 Other
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DOI 10.1080/713659707
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References found in this work BETA

Paradox Without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251.
Yablo’s Paradox.Graham Priest - 1997 - Analysis 57 (4):236–242.
Truth and Reflection.Stephen Yablo - 1985 - Journal of Philosophical Logic 14 (3):297 - 349.
Is Yablo’s Paradox Non-Circular?J. Beall - 2001 - Analysis 61 (3):176-87.

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Citations of this work BETA

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

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Variations on a Theme by Yablo.Hartry Field - 2005 - In J. C. Beall & Bradley Armour-Garb (eds.), Deflationism and Paradox. Clarendon Press.

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