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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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Introduction to the Broadly Classical Options

Introduction to the Broadly Classical Options

Chapter:
(p.117) 6 Introduction to the Broadly Classical Options
Source:
Saving Truth From Paradox
Author(s):

Hartry Field (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199230747.003.0007

This chapter is a short introduction to the ways of dealing with the Liar paradox within classical logic. It distinguishes classical gap theories, classical glut theories, and weakly classical theories (a heading that includes both supervaluation theories and revision theories, in their ‘internal’ versions). It introduces some natural ‘Incoherence Principles’, jointly unsatisfiable in classical logic. The gap, glut, and weakly classical theories can be understood as different choices as to which incoherence principle to reject.

Keywords:   Liar paradox, Tarski schema, incoherence principles, supervaluationism, indeterminate

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