Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao zbMATH Openarrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article
Data sources: zbMATH Open
Analysis
Article . 2001 . Peer-reviewed
Data sources: Crossref
Analysis
Article . 2001 . Peer-reviewed
Data sources: Crossref
versions View all 3 versions
addClaim

Is Yablo's paradox non-circular?

Authors: Beall, Jc;

Is Yablo's paradox non-circular?

Abstract

Stephen Yablo's paradox is an apparently non-circular version of the Liar, consisting of a sequence of sentences beginning: \[ \text{For all } k>0,\;s_k\text{ is not true}.\tag \(s_0\) \] \textit{G. Priest} [Analysis, Oxf. 57, 236-242 (1997; Zbl 0943.03588)] argued that it was in fact circular, and \textit{R. Sorensen} [Mind 107, 137-155 (1998)] replied. This paper defends Priest's position, arguing that to fix the denotation of the term ``Yablo's paradox'' by demonstration we should have to see the whole of a denumerable sequence (to see merely part of it will not do, because any segment can be continued in different ways), and to fix it by description is necessarily circular. Thus the satisfaction conditions of our available reference-fixing descriptions require a satisfier that involves circularity, self-reference, a fixed point. Ergo the paradox is not non-circular.

Related Organizations
Keywords

Yablo's paradox, Philosophical and critical aspects of logic and foundations, liar paradox

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    32
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
32
Top 10%
Top 10%
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!