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Saving Truth From Paradox$
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Hartry Field

Print publication date: 2008

Print ISBN-13: 9780199230747

Published to Oxford Scholarship Online: May 2008

DOI: 10.1093/acprof:oso/9780199230747.001.0001

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Are Supervaluational and Revision Theories Self‐Undermining?

Are Supervaluational and Revision Theories Self‐Undermining?

Chapter:
(p.192) 12 Are Supervaluational and Revision Theories Self‐Undermining?
Source:
Saving Truth From Paradox
Author(s):

Hartry Field (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199230747.003.0013

This chapter is concerned with the extent to which supervaluation and revision theories can declare that their rules all preserve truth. The extent varies from one such theory to another, but none can do so entirely, and many actually declare some of their rules not to be truth-preserving. The question is raised whether this makes the theories ‘self-undermining’, and a reason is given why it doesn't. Connections to Gödel's second incompleteness theorem are drawn.

Keywords:   strong supervaluation theories, medium supervaluation theories, revision theories, truth-preservation, truth rules, self-undermining, incompleteness theorems, Gödel

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