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¿“Natural” y “Euclidiana”? Reflexiones sobre la geometría práctica y sus raíces cognitivas

Ferreirós, José and García-Pérez, Manuel J. (2008) ¿“Natural” y “Euclidiana”? Reflexiones sobre la geometría práctica y sus raíces cognitivas. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 325-344. ISSN 2171-679X

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Abstract

We discuss critically some recent theses about geometric cognition, namely claims of universality made by Dehaene et al., and the idea of a “natural geometry” employed by Spelke et al. We offer arguments for the need to distinguish visuo-spatial cognition from basic geometric knowledge, furthermore we claim that the latter cannot be identified with Euclidean geometry. The main aim of the paper is to advance toward a characterization of basic, practical geometry – which in our view requires a combination of experiments on visuo-spatial cognition with studies in cognitive archaeology and comparative history. Examples from these fields are given, with special emphasis on the comparison of ancient Chinese and ancient Greek geometric ideas and procedures.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Ferreirós, Joséjosef@us.es0000-0002-4837-3071
García-Pérez, Manuel J.mjgarpe92@gmail.com
Additional Information: ISSN: 0495-4548 (print)
Keywords: Cognitive archaeology; geometric cognition; core cognition; chinese geometry; cognitive tools; comparative history.
Subjects: Specific Sciences > Mathematics > Practice
Specific Sciences > Cognitive Science
General Issues > History of Science Case Studies
Specific Sciences > Mathematics
Depositing User: Unnamed user with email theoria@ehu.es
Date Deposited: 21 Jun 2018 18:05
Last Modified: 21 Jun 2018 18:05
Item ID: 14804
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: http://www.ehu.eus/ojs/index.php/THEORIA/article/v...
DOI or Unique Handle: https://doi.org/10.1387/theoria.17839
Subjects: Specific Sciences > Mathematics > Practice
Specific Sciences > Cognitive Science
General Issues > History of Science Case Studies
Specific Sciences > Mathematics
Date: May 2008
Page Range: pp. 325-344
Volume: 33
Number: 2
ISSN: 2171-679X
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/14804

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