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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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Interlude on Vagueness, and the Paradoxes of König and Berry

Interlude on Vagueness, and the Paradoxes of König and Berry

Chapter:
(p.100) 5 Interlude on Vagueness, and the Paradoxes of König and Berry
Source:
Saving Truth From Paradox
Author(s):

Hartry Field (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199230747.003.0006

This chapter discusses vagueness and its possible connection to the semantic paradoxes, with particular reference to the continuum-valued semantics. Focus is put on higher order vagueness and whether it ultimately collapses. A connection is drawn between the König and Berry paradoxes and a version of the Sorites paradox. The role of a classical meta-theory for a non-classical language is discussed, which is important for undercutting a certain kind of ‘revenge argument’.

Keywords:   sharp boundaries, penumbral connections, higher order vagueness, König paradox, Berry paradox, classical meta-theory, non-classical model theory

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