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The geometrical basis of arithmetical knowledge: Frege & Dehaene

Costreie, Sorin (2018) The geometrical basis of arithmetical knowledge: Frege & Dehaene. THEORIA. An International Journal for Theory, History and Foundations of Science, 33 (2). pp. 361-370. ISSN 2171-679X

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Abstract

Frege writes in Numbers and Arithmetic about kindergarten-numbers and “an a priori mode of cognition” that they may have “a geometrical source.” This resembles recent findings on arithmetical cognition. In my paper, I explore this resemblance between Gottlob Frege’s later position concerning the geometrical source of arithmetical knowledge, and some current positions in the literature dedicated to arithmetical cognition, especially that of Stanislas Dehaene. In my analysis, I shall try to mainly see to what extent (Frege’s) logicism is compatible with (Dehaene’s) intuitionism.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Costreie, Sorinsorin.costreie@unibuc.ro
Additional Information: ISSN: 0495-4548 (print)
Keywords: logicism, intuitionism, Frege, Dehaene, arithmetical cognition
Subjects: Specific Sciences > Mathematics > History of Philosophy
Specific Sciences > Cognitive Science
Specific Sciences > Mathematics
Depositing User: Unnamed user with email theoria@ehu.es
Date Deposited: 22 Jun 2018 01:13
Last Modified: 22 Jun 2018 01:13
Item ID: 14807
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.18089
Subjects: Specific Sciences > Mathematics > History of Philosophy
Specific Sciences > Cognitive Science
Specific Sciences > Mathematics
Date: May 2018
Page Range: pp. 361-370
Volume: 33
Number: 2
ISSN: 2171-679X
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/14807

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