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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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Adding a Conditional? Curry and Lukasiewicz

Adding a Conditional? Curry and Lukasiewicz

Chapter:
(p.83) 4 Adding a Conditional? Curry and Lukasiewicz
Source:
Saving Truth From Paradox
Author(s):

Hartry Field (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199230747.003.0005

This chapter discusses the Lukasiewicz continuum-valued semantics as a way of improving upon the Kleene semantics as the basis for an account of truth. It is shown that it gives a very nice treatment of the paradoxes within a quantifier-free fragment of the language, but that it breaks down when quantifiers are added. This account will nonetheless serve as something of a model for the view to be advocated later, and so a number of issues that will arise later are discussed here. These include the Curry paradox, the meaning of semantic values, and the notion of determinate truth.

Keywords:   continuum-valued semantics, Curry paradox, semantic value, determinate truth

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