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Pure geometry and geometric cognition

Bacelar Valente, Mario (2020) Pure geometry and geometric cognition. [Preprint]

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Abstract

The cognitive basis of pure geometry is basically unknown. Even the ‘simpler’ issue of what kind of representation of geometric object we have. In this work, we set forward a model of the representation of geometric objects at a neurological level for the case of the pure geometry of Euclid. To arrive at the model, we take into account historical aspects of practical and pure geometry together. This enables us to arrive at a coherent model of geometric objects consistent with the historical record.


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Item Type: Preprint
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Bacelar Valente, Mario
Keywords: Euclidean pure geometry; practical geometry; geometric figure; geometric object
Subjects: Specific Sciences > Mathematics
Depositing User: mario bacelar valente
Date Deposited: 11 Mar 2021 16:33
Last Modified: 11 Mar 2021 16:33
Item ID: 18800
Subjects: Specific Sciences > Mathematics
Date: 3 March 2020
URI: http://philsci-archive.pitt.edu/id/eprint/18800

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