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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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Hyper‐Determinacy and Revenge

Hyper‐Determinacy and Revenge

Chapter:
(p.384) 27 Hyper‐Determinacy and Revenge
Source:
Saving Truth From Paradox
Author(s):

Hartry Field (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199230747.003.0028

Do dialetheic theories do better as regard revenge problems than theories that restrict excluded middle? This chapter argues that they do not, and shows in particular that each of the revenge problems that Priest has raised against theories without excluded middle arise against dialetheic theories as well. The charge that dialetheic theories can't express the property of being solely true is investigated. It is found that a full defense against the charge requires a transfinite sequence of weaker and weaker negation-like operators, reminiscent of the sequence of iterations of the determinacy operator in theories that restrict excluded middle.

Keywords:   revenge, designated value, sole truth, sole falsehood, model theory, negation, transfinite iteration, Priest

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