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The Yablo ParadoxAn Essay on Circularity$
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Roy T Cook

Print publication date: 2014

Print ISBN-13: 9780199669608

Published to Oxford Scholarship Online: September 2014

DOI: 10.1093/acprof:oso/9780199669608.001.0001

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Generalizing the Yablo Paradox

Generalizing the Yablo Paradox

Chapter:
(p.129) 3 Generalizing the Yablo Paradox
Source:
The Yablo Paradox
Author(s):

Roy T Cook

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199669608.003.0004

This chapter addresses the Generalizability Question, focusing on Roy Sorensen’s idea that the pattern found in the Yablo paradox will allow for a general purge of self-reference by providing us with a non-circular version of every well-known circular paradox. After examining the most promising method for carrying our such a purge— unwindings— and showing that the project looks somewhat promising for the case of the pointer semantics developed in Chapter 1, the chapter concludes by showing that the answer to the Generalizability Question must in the end be 𠄜no𠄝, since unwindings in more expressively rich contexts, such as arithmetic, tend to collapse into infinite sequences of sentences that are, in fact, circular.

Keywords:   unwindings, Yablo paradox, general purge of self-reference, self-reference

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