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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


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.


Chapter 6: Contradictory Pairs

C. W. A. Whitaker

in Aristotle's De Interpretatione: Contradiction and Dialectic

Published in print:
2002
Published Online:
November 2003
ISBN:
9780199254194
eISBN:
9780191598654
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199254192.003.0007
Subject:
Philosophy, Ancient Philosophy

This chapter, which concludes the introductory section of the work, narrows the focus to simple assertions. Aristotle demonstrates with brilliant neatness that all such assertions either affirm or ... More


The Probable and The Provable

L. Jonathan Cohen

Published in print:
1977
Published Online:
October 2011
ISBN:
9780198244127
eISBN:
9780191680748
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198244127.001.0001
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Science

The book was planned and written as a single, sustained argument. But earlier versions of a few parts of it have appeared separately. The object of this book is both to establish the existence of the ... More


Do Paracomplete Solutions Depend on Expressive Limitations?

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/9780199230747.003.0022
Subject:
Philosophy, Logic/Philosophy of Mathematics

The chapter considers various versions of the charge that paradox has been avoided only by limiting the expressive power of the language. The charge that the language has no ‘exclusion negation’ but ... 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


Denial and Rejection

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:
10.1093/0199263280.003.0007
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter discusses the connection between negation, denial, and untruth. There are close connections between these notions, but not the simplistic ones that are standardly supposed to obtain.


Connectives, Quantifiers, Logic

Stewart Shapiro

in Vagueness in Context

Published in print:
2006
Published Online:
January 2007
ISBN:
9780199280391
eISBN:
9780191707162
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199280391.003.0004
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter defines various connectives and quantifiers, and settles on a local notion of validity. The ultimate goal is to delimit a plausible notion of logical consequence and to explore what ... More


The General Form of the Proposition

Denis McManus

in The Enchantment of Words: Wittgenstein's “Tractatus Logico-Philosophicus”

Published in print:
2006
Published Online:
January 2007
ISBN:
9780199288021
eISBN:
9780191713446
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199288021.003.0011
Subject:
Philosophy, History of Philosophy

This chapter explores Wittgenstein’s remarks on ‘the general form of the proposition’ and argues that these too are informed by his desire to show that the impression that there are substantial ... More


Indeterminacy and Truth Value Gaps

Mark Richard

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/9780199570386.003.0027
Subject:
Philosophy, Logic/Philosophy of Mathematics, Metaphysics/Epistemology

This chapter argues for the following theses. There are perfectly possible meanings (ones of a sort one would think are possessed by many vague predicates) which would necessitate a predicate's being ... More


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