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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

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

Hartry Field (Contributor Webpage)

Oxford University Press

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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