On the analysis of indirect proofs: contradiction and contraposition

Jourdan, Nicolas and Yevdokimov, Oleksiy (2016) On the analysis of indirect proofs: contradiction and contraposition. Australian Senior Mathematics Journal, 30 (1). pp. 55-64. ISSN 0819-4564


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.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Files associated with this item cannot be displayed due to copyright restrictions.
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019)
Faculty/School / Institute/Centre: Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019)
Date Deposited: 22 Aug 2017 01:42
Last Modified: 22 Aug 2017 01:42
Uncontrolled Keywords: indirect proof; contradiction; contraposition
Fields of Research (2008): 01 Mathematical Sciences > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified
01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010399 Numerical and Computational Mathematics not elsewhere classified
13 Education > 1302 Curriculum and Pedagogy > 130208 Mathematics and Numeracy Curriculum and Pedagogy
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4999 Other mathematical sciences > 499999 Other mathematical sciences not elsewhere classified
49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490399 Numerical and computational mathematics not elsewhere classified
39 EDUCATION > 3901 Curriculum and pedagogy > 390109 Mathematics and numeracy curriculum and pedagogy
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
URI: http://eprints.usq.edu.au/id/eprint/32760

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