Towards a critical epistemology of mathematics
This essay addresses a critical epistemology of mathematics as an investigation into the epistemic limitations of mathematical thinking. After arguing for the relevance of a critical epistemology of mathematics, I discuss assumptions underlying standard arithmetic and assumptions underlying standar...
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| Format: | Article |
| Language: | English |
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Universidade Federal de São Paulo
2023-07-01
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| Series: | Prometeica |
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| Online Access: | https://periodicos.unifesp.br/index.php/prometeica/article/view/15414 |
| _version_ | 1797770964840218624 |
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| author | David Kollosche |
| author_facet | David Kollosche |
| author_sort | David Kollosche |
| collection | DOAJ |
| description |
This essay addresses a critical epistemology of mathematics as an investigation into the epistemic limitations of mathematical thinking. After arguing for the relevance of a critical epistemology of mathematics, I discuss assumptions underlying standard arithmetic and assumptions underlying standard logic as examples for such epistemic limitations of mathematical thinking. Looking into the work of philosophically interested scholars in mathematics education such as Alan Bishop and Ole Skovsmose, I discuss some early insights for a critical epistemology of mathematics. I conclude that these insights can only be the beginning, that we are yet far away from a proper understanding of the epistemic limitations of mathematics, and that more research is needed.
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| first_indexed | 2024-03-12T21:29:39Z |
| format | Article |
| id | doaj.art-82c606d6ed5543519dfe63b133d0f980 |
| institution | Directory Open Access Journal |
| issn | 1852-9488 |
| language | English |
| last_indexed | 2024-03-12T21:29:39Z |
| publishDate | 2023-07-01 |
| publisher | Universidade Federal de São Paulo |
| record_format | Article |
| series | Prometeica |
| spelling | doaj.art-82c606d6ed5543519dfe63b133d0f9802023-07-27T22:14:26ZengUniversidade Federal de São PauloPrometeica1852-94882023-07-012710.34024/prometeica.2023.27.15414Towards a critical epistemology of mathematicsDavid Kollosche0University of Klagenfurt This essay addresses a critical epistemology of mathematics as an investigation into the epistemic limitations of mathematical thinking. After arguing for the relevance of a critical epistemology of mathematics, I discuss assumptions underlying standard arithmetic and assumptions underlying standard logic as examples for such epistemic limitations of mathematical thinking. Looking into the work of philosophically interested scholars in mathematics education such as Alan Bishop and Ole Skovsmose, I discuss some early insights for a critical epistemology of mathematics. I conclude that these insights can only be the beginning, that we are yet far away from a proper understanding of the epistemic limitations of mathematics, and that more research is needed. https://periodicos.unifesp.br/index.php/prometeica/article/view/15414mathematics educationphilosophy of mathematicscritical theoryepistemology |
| spellingShingle | David Kollosche Towards a critical epistemology of mathematics Prometeica mathematics education philosophy of mathematics critical theory epistemology |
| title | Towards a critical epistemology of mathematics |
| title_full | Towards a critical epistemology of mathematics |
| title_fullStr | Towards a critical epistemology of mathematics |
| title_full_unstemmed | Towards a critical epistemology of mathematics |
| title_short | Towards a critical epistemology of mathematics |
| title_sort | towards a critical epistemology of mathematics |
| topic | mathematics education philosophy of mathematics critical theory epistemology |
| url | https://periodicos.unifesp.br/index.php/prometeica/article/view/15414 |
| work_keys_str_mv | AT davidkollosche towardsacriticalepistemologyofmathematics |