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Mathematics and Peirce’s semiotic
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Ru Michael Sabre
Published/Copyright:
July 28, 2015
Abstract
It is shown here that Peirce’s ten trichotomies, specifically art as discussed in Sabre (2014), provides a structure for presenting a mathematical conjecture and provide a heuristic for going about attempting a mathematical proof of the conjecture. The mathematics is presented through the work of the mathematical proof theorists George Polya and Daniel Solow. Here a geometric conjecture is shown to be true using a ten trichotomy context for a proof. Thus through the structure of mathematical proof the ten trichotomy structure validates itself.
References
Polya, G.1957. How to solve it, 2nd edn. Princeton: Princeton University Press.Search in Google Scholar
Polya, George.1962. Mathematical discovery. New York: John Wiley.Search in Google Scholar
Sabre, Ru Michael. 2012. Peirce’s ten trichotomies: Metaphor, hypothesis, and decision. Semiotica190(1/4). 139–155.10.1515/sem-2012-0037Search in Google Scholar
Sabre, Ru Michael. 2014. Art, science, and value as found in Peirce’s ten trichotomies. Semiotica200(1/4). 21–30.Search in Google Scholar
Solow, Daniel.2010 [1976]. How to read and do proofs. New York: John Wiley.Search in Google Scholar
Published Online: 2015-7-28
Published in Print: 2015-10-1
©2015 by De Gruyter Mouton
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Keywords for this article
Peirce;
semiotics;
ten trichotomies;
mathematical proof;
George Polya;
Daniel Solow
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