The geometrical basis of arithmetical knowledge: Frege & Dehaene
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| Format: | Artículo científico |
| Language: | en |
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Universidad del País Vasco/Euskal Herriko Unibertsitatea
2018
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| author | Sorin Costreie |
| author_facet | Sorin Costreie |
| contents | The geometrical basis of arithmetical knowledge: Frege & Dehaene Sorin Costreie Filosofía Frege Dehaene Logicism intuitionism arithmetical cognition 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. 2018 artículo científico 0495-4548 https://www.redalyc.org/articulo.oa?id=339755528014 https://www.redalyc.org/journal/3397/339755528014/ https://www.redalyc.org/journal/3397/339755528014/html/ https://www.redalyc.org/journal/3397/339755528014/339755528014.epub https://www.redalyc.org/journal/3397/339755528014/movil https://doi.org/10.1387/theoria.18089 en http://www.redalyc.org/revista.oa?id=3397 THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia application/pdf Universidad del País Vasco/Euskal Herriko Unibertsitatea THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia (España) Num.2 Vol.33 |
| format | Artículo científico |
| id | redalyc_339755528014 |
| institution | Redalyc |
| language | en |
| publishDate | 2018 |
| publisher | Universidad del País Vasco/Euskal Herriko Unibertsitatea |
| spellingShingle | The geometrical basis of arithmetical knowledge: Frege & Dehaene Sorin Costreie Filosofía Frege Dehaene Logicism intuitionism arithmetical cognition The geometrical basis of arithmetical knowledge: Frege & Dehaene Sorin Costreie Filosofía Frege Dehaene Logicism intuitionism arithmetical cognition 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. 2018 artículo científico 0495-4548 https://www.redalyc.org/articulo.oa?id=339755528014 https://www.redalyc.org/journal/3397/339755528014/ https://www.redalyc.org/journal/3397/339755528014/html/ https://www.redalyc.org/journal/3397/339755528014/339755528014.epub https://www.redalyc.org/journal/3397/339755528014/movil https://doi.org/10.1387/theoria.18089 en http://www.redalyc.org/revista.oa?id=3397 THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia application/pdf Universidad del País Vasco/Euskal Herriko Unibertsitatea THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia (España) Num.2 Vol.33 |
| title | The geometrical basis of arithmetical knowledge: Frege & Dehaene |
| topic | Filosofía Frege Dehaene Logicism intuitionism arithmetical cognition |
| url | https://www.redalyc.org/articulo.oa?id=339755528014 https://www.redalyc.org/journal/3397/339755528014/ https://www.redalyc.org/journal/3397/339755528014/html/ https://www.redalyc.org/journal/3397/339755528014/339755528014.epub https://www.redalyc.org/journal/3397/339755528014/movil https://doi.org/10.1387/theoria.18089 |