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 / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 22 Aug 2017 01:42
Last Modified: 22 Aug 2017 01:42
Uncontrolled Keywords: indirect proof; contradiction; contraposition
Fields of Research : 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
Socio-Economic Objective: 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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