On the analysis of indirect proofs: contradiction and contraposition

Article

Jourdan, Nicolas and Yevdokimov, Oleksiy. 2016. "On the analysis of indirect proofs: contradiction and contraposition." Australian Senior Mathematics Journal. 30 (1), pp. 55-64.
Article Title

On the analysis of indirect proofs: contradiction and contraposition

ERA Journal ID40314
Article CategoryArticle
AuthorsJourdan, Nicolas (Author) and Yevdokimov, Oleksiy (Author)
Journal TitleAustralian Senior Mathematics Journal
Journal Citation30 (1), pp. 55-64
Number of Pages10
Year2016
Place of PublicationAustralia
ISSN0819-4564
Web Address (URL)http://search.informit.com.au/fullText;dn=194806158730078;res=IELHSS
Abstract

Proof by contradiction is a very powerful mathematical technique. The aim of the paper is to describe a general model of proof by contradiction and investigate the theoretical foundations of proof by contradiction.

Keywordsindirect proof; contradiction; contraposition
ANZSRC Field of Research 2020499999. Other mathematical sciences not elsewhere classified
490399. Numerical and computational mathematics not elsewhere classified
390109. Mathematics and numeracy curriculum and pedagogy
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Byline AffiliationsUniversity of Southern Queensland
Institution of OriginUniversity of Southern Queensland
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