Mathematics and Peirce's semiotic
Bibliographic Data
| ID | 4472256 |
|---|---|
| Authors | Ru Michael Sabre (1105 Amanda Court, Pleasant Gap, PA 16823, USA, corresponding author) |
| Year | 2015 |
| Volume | 2015 |
| Issue | 207 |
| Pages | 175-183 |
| Publication date | 2015-10-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Semiotica (JOURNAL) |
| Journal identifiers | ISSN: 0037-1998 • E-ISSN: 1613-3692 |
| Publisher | Walter de Gruyter GmbH (PUBLISHER • DE) |
| DOI | 10.1515/sem-2015-0061 |
| OpenAlex | W2567580695 |
| Language | EN |
| Citations received | 2 |
| References cited | 2 |
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
Calculus (dental) · Conjecture · Context (archaeology) · Epistemology · Mathematical structure · Mathematical theory · Mathematics education · Physics · Pure mathematics · Semiotics · Trichotomy (philosophy) · History · History and Theory of Mathematics · Mathematics · Philosophy · Philosophy and History of Science · Pragmatism in Philosophy and Education
| Citations per year | 0.33 |
|---|---|
| Citation span | 2020 - 2022 (3) |
| Highly cited | No |