| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, Campinas, SP - Brazil
[2] Univ Seville, Seville - Spain
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | THEORIA-REVISTA DE TEORIA HISTORIA Y FUNDAMENTOS DE LA CIENCIA; v. 34, n. 2, p. 255-276, MAY 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
We argue against the claim that the employment of diagrams in Euclidean geometry gives rise to gaps in the proofs. First, we argue that it is a mistake to evaluate its merits through the lenses of Hilbert's formal reconstruction. Second, we elucidate the abilities employed in diagram-based inferences in the Elements and show that diagrams are mathematically reputable tools. Finally, we complement our analysis with a review of recent experimental results purporting to show that, not only is the Euclidean diagram-based practice strictly regimented, it is rooted in cognitive abilities that are universally shared. (AU) | |
| FAPESP's process: | 16/20480-5 - The epistemology of Euclidean diagrams |
| Grantee: | Tamires Dal Magro |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 14/23191-9 - Formal and diagrammatic reasoning in euclidian proofs by reduction ad absurdum |
| Grantee: | Tamires Dal Magro |
| Support Opportunities: | Scholarships in Brazil - Doctorate |