An entirely non-self-referential Yabloesque paradox

Synthese 195 (11):5007-5019 (2018)
  Copy   BIBTEX


Graham Priest has argued that Yablo’s paradox involves a kind of ‘hidden’ circularity, since it involves a predicate whose satisfaction conditions can only be given in terms of that very predicate. Even if we accept Priest’s claim that Yablo’s paradox is self-referential in this sense—that the satisfaction conditions for the sentences making up the paradox involve a circular predicate—it turns out that there are paradoxical variations of Yablo’s paradox that are not circular in this sense, since they involve satisfaction conditions that are not recursively specifiable, and hence not recognizable in the sense required for Priest’s argument. In this paper I provide a general recipe for constructing infinitely many such noncircular Yabloesque paradoxes, and conclude by drawing some more general lessons regarding our ability to identify conditions that are necessary and sufficient for paradoxically more generally.



    Upload a copy of this work     Papers currently archived: 92,168

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

Yablo's paradox and referring to infinite objects.O. Bueno & M. Colyvan - 2003 - Australasian Journal of Philosophy 81 (3):402 – 412.
Equiparadoxicality of Yablo’s Paradox and the Liar.Ming Hsiung - 2013 - Journal of Logic, Language and Information 22 (1):23-31.
Curry, Yablo and duality.Roy T. Cook - 2009 - Analysis 69 (4):612-620.
Gödelizing the Yablo Sequence.Cezary Cieśliński & Rafal Urbaniak - 2013 - Journal of Philosophical Logic 42 (5):679-695.
The Yablo Paradox: An Essay on Circularity.Roy T. Cook - 2012 - Oxford, England: Oxford University Press.
Rosser-Type Undecidable Sentences Based on Yablo’s Paradox.Taishi Kurahashi - 2014 - Journal of Philosophical Logic 43 (5):999-1017.
Yablo Without Gödel.Volker Halbach & Shuoying Zhang - 2017 - Analysis 77 (1):53-59.
New Zeno and Actual Infinity.Hansen Casper - 2011 - Open Journal of Philosophy 1 (2):57-60.


Added to PP

20 (#770,420)

6 months
2 (#1,204,205)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

What Paradoxes Depend on.Ming Hsiung - 2018 - Synthese:1-27.
Unwinding Modal Paradoxes on Digraphs.Ming Hsiung - 2020 - Journal of Philosophical Logic 50 (2):319-362.

Add more citations

References found in this work

Paradox without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251-252.
Yablo’s paradox.Graham Priest - 1997 - Analysis 57 (4):236–242.
The Yablo Paradox: An Essay on Circularity.Roy T. Cook - 2012 - Oxford, England: Oxford University Press.
Yablo's paradox.Graham Priest - 1997 - Analysis 57 (4):236-242.

View all 10 references / Add more references