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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


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


Truthmaking

John Heil

in The Universe As We Find It

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199596201
eISBN:
9780191741876
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199596201.003.0008
Subject:
Philosophy, Metaphysics/Epistemology, General

The significance and utility of the concept of truthmaking are discussed. The suggestion that truthmaking is entailment (truths entail truthmakers) is found wanting, as is the apparently innocent ... More


What Does the Law of Non-Contradiction Tell Us, If Anything?: Paradox, Parameterization, and Truth in Tiantai Buddhism

Brook Ziporyn

in The Philosophical Challenge from China

Published in print:
2015
Published Online:
September 2015
ISBN:
9780262028431
eISBN:
9780262323628
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262028431.003.0010
Subject:
Philosophy, General

Although a partial restriction of applicability of the law of non-contradiction (LNC), arguably the most central assumption of most Western philosophical traditions, has recently been proposed by ... More


Mathematics

Agustín Rayo

in The Construction of Logical Space

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199662623
eISBN:
9780191755392
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199662623.003.0003
Subject:
Philosophy, Metaphysics/Epistemology, Logic/Philosophy of Mathematics

This chapter defends a trivialist conception of mathematics, according to which the truths of pure mathematics have trivial truth-conditions, and the falsities of pure mathematics have trivial ... More


Neo-Fregeanism Reconsidered

Agustín Rayo, Philip A. Ebert, and Marcus Rossberg

in Abstractionism: Essays in Philosophy of Mathematics

Published in print:
2016
Published Online:
January 2017
ISBN:
9780199645268
eISBN:
9780191755330
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199645268.003.0010
Subject:
Philosophy, Logic/Philosophy of Mathematics

I characterize a variety of mathematical Platonism according to which it is true that for the number of the planets to be eight just is for there to be eight planets. I then argue that the ... More


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