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Doubt Truth to be a Liar

Graham Priest

Published in print:
2005
Published Online:
May 2006
ISBN:
9780199263288
eISBN:
9780191603631
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0199263280.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

The Law of Non-Contradiction has been high orthodoxy in Western philosophy since Aristotle. The so-called Law has been the subject of radical challenge in recent years by dialetheism, the view that ... More


The Transconsistent

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/9780199263301.003.0015
Subject:
Philosophy, Logic/Philosophy of Mathematics

The previous chapters advocate a novel logical theory and explore its rationale and some of its applications. By implication, the applications provide a sustained attack on the dominant logical ... More


Letters to Beall and Priest

David Lewis

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/9780199265176.003.0011
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

This chapter contains two brief letters to the editors. The first states that it is impossible to engage with dialetheism, since there is not sufficient common ground. The second says that, ... More


Aristotle on the Law of Non-Contradiction

Graham Priest

in Doubt Truth to be a Liar

Published in print:
2005
Published Online:
May 2006
ISBN:
9780199263288
eISBN:
9780191603631
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199263280.003.0002
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter analyzes and criticizes the argument of Aristotle in Metaphysics, Book Gamma, against those who would violate the Law of Non-Contradiction, together with what a number of later ... More


Theories of Truth

Graham Priest

in Doubt Truth to be a Liar

Published in print:
2005
Published Online:
May 2006
ISBN:
9780199263288
eISBN:
9780191603631
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199263280.003.0003
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter surveys standard theories of truth, and argues that they are all compatible with dialetheism.


Trivialism

Graham Priest

in Doubt Truth to be a Liar

Published in print:
2005
Published Online:
May 2006
ISBN:
9780199263288
eISBN:
9780191603631
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199263280.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter discusses trivialism, the view that all contradictions (and so all claims) are true. It examines the grounds for rejecting the view, and how one would go about engaging an opponent who ... More


Contradiction

Graham Priest

in Doubt Truth to be a Liar

Published in print:
2005
Published Online:
May 2006
ISBN:
9780199263288
eISBN:
9780191603631
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199263280.003.0005
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter provides an account of the nature of negation which not only endorses the traditional idea of negation as a contradictory-forming operator, but also allows for the possibility of ... More


Boolean Negation

Graham Priest

in Doubt Truth to be a Liar

Published in print:
2005
Published Online:
May 2006
ISBN:
9780199263288
eISBN:
9780191603631
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199263280.003.0006
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter argues that in the context of an account of meaning appropriate for dialetheism, Boolean (classical) negation is a meaningless notion.


In Contradiction

Graham Priest

Published in print:
2006
Published Online:
May 2007
ISBN:
9780199263301
eISBN:
9780191718823
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199263301.001.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

This book advocates and defends the view that there are true contradictions (dialetheism), a view that has flown in the face of orthodoxy in Western philosophy since Aristotle's time. The book has ... More


Semantic Closure and the Philosophy of Language

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/9780199263301.003.0010
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter shows how to construct a semantically closed theory, that is a theory which contains the T-schema for all the sentences of its own language. The connection with the theory of meaning is ... 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


Comments on Some Critics

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/9780199263301.003.0021
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter discusses and replies to a number of the more important objections that have been made to dialetheism since the publication of the first edition of the book. The topics covered include ... More


Gödel's Theorem

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/9780199263301.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter presents an argument for dialetheism which draws on Gödel's first incompleteness theorem. This is a non-constructive argument, which does not produce dialetheias explicitly, but shows ... More


Truth and Falsity

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/9780199263301.003.0005
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter discusses truth and related notions: the T-schema, meaning, assertion, falsity. It defends the T-schema, and argues for a teleological account of truth. It concludes with a discussion ... More


Pragmatics

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/9780199263301.003.0008
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter shows that dialetheism poses no particular problems for pragmatics; that is, a dialetheic pragmatics faces no problems other than those faced by a non-dialetheic one. A number of ... More


The Disjunctive Syllogism and Quasi-Validity

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/9780199263301.003.0009
Subject:
Philosophy, Logic/Philosophy of Mathematics

In this chapter the disjunctive syllogism is discussed. This is not valid in the semantics of the previous chapters. It is argued that the form of inference may be used in consistent situations, ... More


An Introduction to Paraconsistent Dialetheism

Hartry Field

in Saving Truth From Paradox

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199230747
eISBN:
9780191710933
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230747.003.0025
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter introduces ‘dialetheic’ approaches, according to which Liar sentences are both true and false, indeed both true and not true. (Some contradictions are accepted.) Dialetheism provides ... More


Paraconsistent Dialetheism and Soundness

Hartry Field

in Saving Truth From Paradox

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199230747
eISBN:
9780191710933
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230747.003.0027
Subject:
Philosophy, Logic/Philosophy of Mathematics

Priest has argued that his dialetheic theories declare themselves sound and in this regard are better than non-dialetheic theories. This chapter shows this to be unfounded. Indeed, dialetheic ... More


Truth‐Value Gluts in Classical Theories

Hartry Field

in Saving Truth From Paradox

Published in print:
2008
Published Online:
May 2008
ISBN:
9780199230747
eISBN:
9780191710933
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230747.003.0009
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter deals with classical theories that postulate truth value gluts, especially theories that accept the right-to-left half of the Tarski biconditionals. The duality with gap theories is ... More


The Law of Non-Contradiction

Graham Priest, JC Beall, and Bradley Armour-Garb (eds)

Published in print:
2004
Published Online:
May 2010
ISBN:
9780199265176
eISBN:
9780191713989
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199265176.001.0001
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

The aim of this book is to present a comprehensive debate about the Law of Non-Contradiction (LNC), from discussions as to how the law is to be understood, to reasons for accepting or re-thinking the ... More


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