Ferreirós, José and García-Pérez, Manuel J. (2020) Beyond Natural Geometry: On the nature of proto-geometry. Philosophical Psychology, 33 (2). pp. 181-205. ISSN 0951-5089
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Abstract
We discuss the thesis of universality of geometric notions and offer critical reflections on the concept of “natural geometry” employed by Spelke and others. Promoting interdisciplinary work in this field, we bring in logical results and historical evidence, turning to cognitive history and cognitive archaeology in search of clarification of what basic “proto-geometry” might be. This notion is proposed as an alternative to “natural geometry.” Moreover, we highlight the role of cognitive artifacts and external representations (e.g., pictures, diagrams) in making possible the emergence of proto-geometric notions, and we end up with a tentative characterization of “proto-geometry” that underscores its differences with Euclidean geometry. Regarding universality, we suggest that a line of argument toward such a conclusion might be based on comparative historical considerations.
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| Item Type: | Published Article or Volume | |||||||||
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| Subjects: | Specific Sciences > Mathematics > Practice Specific Sciences > Mathematics |
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| Depositing User: | Dr José Ferreirós | |||||||||
| Date Deposited: | 23 Jan 2025 18:14 | |||||||||
| Last Modified: | 23 Jan 2025 18:14 | |||||||||
| Item ID: | 24587 | |||||||||
| Journal or Publication Title: | Philosophical Psychology | |||||||||
| Official URL: | https://www.tandfonline.com/doi/abs/10.1080/095150... | |||||||||
| DOI or Unique Handle: | 10.1080/09515089.2019.1683726 | |||||||||
| Subjects: | Specific Sciences > Mathematics > Practice Specific Sciences > Mathematics |
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| Date: | 2020 | |||||||||
| Page Range: | pp. 181-205 | |||||||||
| Volume: | 33 | |||||||||
| Number: | 2 | |||||||||
| ISSN: | 0951-5089 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/24587 |
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