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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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Determinateness, Stratification, and Revenge

Determinateness, Stratification, and Revenge

Chapter:
(p.347) 23 Determinateness, Stratification, and Revenge
Source:
Saving Truth From Paradox
Author(s):

Hartry Field (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199230747.003.0024

Does the presence of a transfinitely iterable determinacy operator re-create the difficulties with stratified truth theories? This chapter argues that it does not. It begins by pointing out the many clear differences between what we have for determinacy and what we have with stratified truth theories. It goes on to consider some genuine costs, but argues that we can live with them. It ends by considering and rebutting some remaining worries about how revenge paradoxes might arise.

Keywords:   determinacy operators, stratification, undermining, defectiveness, super-determinacy, expressive completeness, meta-theory, model theory, revenge

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