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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


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


On the Formalization of the Law of Non-Contradiction *

Ross T. Brady

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/9780199265176.003.0003
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

This chapter examines three ways of formalizing the law of non-contradiction. The key feature of such a way is the enforcement of consistency of the formal system concerned. The first formalization ... 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


What's So Bad About Contradictions?

Graham Priest

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/9780199265176.003.0002
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

This chapter sets up the debate for the rest of the book. It discusses and rejects five objections to accepting (some) contradictions: (i) that contradictions entail everything (Explosion); (ii) that ... More


The Philosophical Basis of What? The Anti-Realist Route to Dialetheism

Jon Cogburn

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/9780199265176.003.0014
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

Dummettian anti-realists have traditionally argued that verificationism entails giving up the law of excluded middle for discourses such as mathematics, which contain warrants that cannot be ... More


Heraclitus and the Art of Paradox

Mary Margaret McCabe

in Platonic Conversations

Published in print:
2015
Published Online:
June 2015
ISBN:
9780198732884
eISBN:
9780191796906
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198732884.003.0002
Subject:
Philosophy, History of Philosophy

The ‘river’ fragments of Heraclitus illustrate how paradox may be construed as argument, and they bring out both the logical and the psychological aspects of paradox. But is the thought of Heraclitus ... More


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