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


Authors
Jose Ferreiros
Universidad de Sevilla
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.
Keywords Cognitive archaeology   geometric cognition   core cognition   chinese geometry   cognitive tools   comparative history
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DOI 10.1387/theoria.17839
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References found in this work BETA

Core Systems of Number.Stanislas Dehaene, Elizabeth Spelke & Lisa Feigenson - 2004 - Trends in Cognitive Sciences 8 (7):307-314.
The Euclidean Diagram.Kenneth Manders - 2008 - In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oxford University Press. pp. 80--133.
Mathematical Knowledge and the Interplay of Practices.Jose Ferreiros - 2016 - Princeton, USA: Princeton University Press.

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Citations of this work BETA

Cognitive Artifacts for Geometric Reasoning.Mateusz Hohol & Marcin Miłkowski - 2019 - Foundations of Science 24 (4):657-680.

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