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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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Validity, Truth‐Preservation, and the Second Incompleteness Theorem

Validity, Truth‐Preservation, and the Second Incompleteness Theorem

(p.281) 19 Validity, Truth‐Preservation, and the Second Incompleteness Theorem
Saving Truth From Paradox

Hartry Field (Contributor Webpage)

Oxford University Press

This chapter begins with a survey of possible responses to the Curry paradox, and argues that the one offered by the theory of Chapters 15 through 18 is least disruptive of ordinary reasoning. Based on this discussion, it returns both to the relation between validity and necessary truth preservation, and to issues about the second incompleteness theorem.

Keywords:   Curry paradox, conditional proof, incompleteness theorems, ordinary reasoning

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