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 | ||||||
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| 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 |
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| 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: | 10.1387/theoria.18089 | ||||||
| Subjects: | Specific Sciences > Mathematics > History of Philosophy Specific Sciences > Cognitive Science Specific Sciences > Mathematics |
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| Date: | May 2018 | ||||||
| Page Range: | pp. 361-370 | ||||||
| Volume: | 33 | ||||||
| Number: | 2 | ||||||
| ISSN: | 2171-679X | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/14807 |
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