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This Magic Moment: Horwich on the Boundaries of Vague Terms

Hartry Field

in Cuts and Clouds: Vagueness, its Nature, & its Logic

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199570386
eISBN:
9780191722134
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199570386.003.0012
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This chapter argues that the counter-intuitive aspects of the epistemic theory of vagueness run deeper than is sometimes appreciated, and that Horwich's variant of epistemicism does not help with ... More


Autocommentary on the First Edition

Graham Priest

in In Contradiction

Published in print:
2006
Published Online:
May 2007
ISBN:
9780199263301
eISBN:
9780191718823
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199263301.003.0020
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter charts some of the developments that have taken place since the first edition of this book was published, including areas where the author's views have been revised. It does this by ... More


A Critique of Dialetheism

Greg Littmann and Keith Simmons

in The Law of Non-Contradiction

Published in print:
2004
Published Online:
May 2010
ISBN:
9780199265176
eISBN:
9780191713989
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199265176.003.0020
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

Dialetheism is the view that there are true contradictions. The strongest argument in favour of dialetheism is that it alone allows us to solve semantic paradoxes like the liar paradox. This chapter ... More


Donald Davidson on Truth, Meaning, and the Mental

Gerhard Preyer

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199697519
eISBN:
9780191742316
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199697519.001.0001
Subject:
Philosophy, Philosophy of Language, Philosophy of Mind

In recent decades the analysis of the connection of truth, meaning, and the mental has been a major philosophical question, and Donald Davidson has brought together these subjects in a unified theory ... More


The Contradiction (iii): A Ramified Solution

David Bostock

in Russell's Logical Atomism

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199651443
eISBN:
9780191741197
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199651443.003.0005
Subject:
Philosophy, History of Philosophy, Metaphysics/Epistemology

Poincaré had recommended a ‘Vicious Circle Principle’, and Russell accepted this in his final ‘ramified’ theory of types. He claims both that this principle resolves a range of paradoxes (including ... More


A truth predicate in the object language

William G. Lycan

in Donald Davidson on Truth, Meaning, and the Mental

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199697519
eISBN:
9780191742316
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199697519.003.0006
Subject:
Philosophy, Philosophy of Language, Philosophy of Mind

In “Truth and Meaning”, Davidson acknowledged that the Liar Paradox is a problem for his semantic program; but he did not seem to take it very seriously. This chapter joins Lepore and Ludwig in ... More


From No People to No Languages: A Nihilistic Response to the Liar Family of Semantic Paradoxes

Bradley Armour-Garb, Peter Unger, and Bradley Armour-Garb

in Reflections on the Liar

Published in print:
2017
Published Online:
August 2017
ISBN:
9780199896042
eISBN:
9780190672287
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199896042.003.0002
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

This chapter shows that the method that Peter Unger (1979, 1980) has developed for dealing with the sorites paradox can, and perhaps should, be extended and applied to the semantic ... More


Which Undecidable Mathematical Sentences Have Determinate Truth Values?

Hartry Field

in Truth and the Absence of Fact

Published in print:
2001
Published Online:
November 2003
ISBN:
9780199242894
eISBN:
9780191597381
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199242895.003.0012
Subject:
Philosophy, General

Argues that typical undecidable sentences of set theory (e.g. about the size of the continuum) can have no determinate truth‐value, since nothing in our practice can determine which ‘universe of ... More


Semantic Paradox

Keith Simmons

in Semantic Singularities: Paradoxes of Reference, Predication, and Truth

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198791546
eISBN:
9780191852923
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791546.003.0001
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

Chapter 1 presents the aim of the book: to provide a solution to the semantic paradoxes. The solution makes two main claims. The first is that our semantic expressions ‘denotes’, ‘extension’, and ... More


Reflections on the Liar

Bradley Armour-Garb (ed.)

Published in print:
2017
Published Online:
August 2017
ISBN:
9780199896042
eISBN:
9780190672287
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199896042.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Language

In recent years there have been a number of books—both anthologies and monographs—that have focused on the liar paradox and, more generally, on the semantic paradoxes, either offering proposed ... More


Core Logic and the Paradoxes

Neil Tennant

in Core Logic

Published in print:
2017
Published Online:
October 2017
ISBN:
9780198777892
eISBN:
9780191823367
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198777892.003.0011
Subject:
Philosophy, Logic/Philosophy of Mathematics

The Law of Excluded Middle is not to be blamed for any of the logico-semantic paradoxes. We explain and defend our proof-theoretic criterion of paradoxicality, according to which the ‘proofs’ of ... More


Consequences for Deflationism

Keith Simmons

in Semantic Singularities: Paradoxes of Reference, Predication, and Truth

Published in print:
2018
Published Online:
July 2018
ISBN:
9780198791546
eISBN:
9780191852923
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791546.003.0010
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

Chapter 10 investigates the consequences of the singularity theory for deflationary theories in general and disquotational theories in particular. The chapter argues that if we accept the singularity ... More


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