Valente, Mario B. (2023) A hub-and-spoke model of geometric concepts. THEORIA. An International Journal for Theory, History and Foundations of Science, 38 (1). pp. 25-44. ISSN 2171-679X
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Abstract
The cognitive basis of geometry is still poorly understood, even the ‘simpler’ issue of what kind of representation of geometric objects we have. In this work, we set forward a tentative model of the neural representation of geometric objects for the case of the pure geometry of Euclid. To arrive at a coherent model, we found it necessary to consider earlier forms of geometry. We start by developing models of the neural representation of the geometric figures of ancient Greek practical geometry. Then, we propose a related model for the earliest form of pure geometry – that of Hippocrates of Chios. Finally, we develop the model of the neural representation of the geometric objects of Euclidean geometry. The models are based on the hub-and-spoke theory. In our view, the existence of specific models opens the possibility of addressing the relationship between geometric figures and geometric objects, in a novel way, in terms of their neural representation.
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| Item Type: | Published Article or Volume | ||||||
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| Additional Information: | ISSN: 0495-4548 (print) | ||||||
| Keywords: | neural representation, hub-and-spoke, conceptual flexibility, geometric concepts, practical geometry, pure geometry | ||||||
| Subjects: | Specific Sciences > Mathematics > Practice Specific Sciences > Cognitive Science > Concepts and Representations Specific Sciences > Mathematics General Issues > Models and Idealization |
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| Depositing User: | Unnamed user with email theoria@ehu.es | ||||||
| Date Deposited: | 21 Jun 2023 13:31 | ||||||
| Last Modified: | 21 Jun 2023 13:31 | ||||||
| Item ID: | 22223 | ||||||
| Journal or Publication Title: | THEORIA. An International Journal for Theory, History and Foundations of Science | ||||||
| Publisher: | Euskal Herriko Unibertsitatea / Universidad del País Vasco | ||||||
| Official URL: | https://ojs.ehu.eus/index.php/THEORIA/article/view... | ||||||
| DOI or Unique Handle: | 10.1387/theoria.23729 | ||||||
| Subjects: | Specific Sciences > Mathematics > Practice Specific Sciences > Cognitive Science > Concepts and Representations Specific Sciences > Mathematics General Issues > Models and Idealization |
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| Date: | 2023 | ||||||
| Page Range: | pp. 25-44 | ||||||
| Volume: | 38 | ||||||
| Number: | 1 | ||||||
| ISSN: | 2171-679X | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/22223 |
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