Ezenarro Arriola, Enetz (2017) What Bourbaki Has and Has Not Given Us. THEORIA. An International Journal for Theory, History and Foundations of Science, 32 (1). pp. 25-40. ISSN 2171-679X
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Abstract
Bourbaki showed us the potential inherent within the concept of mathematical structure for re-organizing, systematically arranging and unifying the mathematical framework. But mathematics’ development in recent decades has flagged up the limitations of this approach. In this article we analyse Bourbaki’s contributions to what we term the “internal” foundations of mathematics, and at the same time we indicate where, in our view, they fall short. We go on to outline some of the evidence on which we base the viewpoint termed structural functionalism. According to the latter, the general notion of morphism characterizes the dynamic nature of present-day mathematics.
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| Item Type: | Published Article or Volume | ||||||
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| Additional Information: | ISSN: 0495-4548 (print) | ||||||
| Keywords: | Bourbaki, structuralism, internal foundations of mathematics, structuralist functionalism | ||||||
| Subjects: | General Issues > History of Philosophy of Science Specific Sciences > Mathematics General Issues > Structure of Theories |
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| Depositing User: | Unnamed user with email theoria@ehu.es | ||||||
| Date Deposited: | 04 Mar 2017 15:10 | ||||||
| Last Modified: | 04 Mar 2017 15:10 | ||||||
| Item ID: | 12874 | ||||||
| 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.15199 | ||||||
| Subjects: | General Issues > History of Philosophy of Science Specific Sciences > Mathematics General Issues > Structure of Theories |
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| Date: | January 2017 | ||||||
| Page Range: | pp. 25-40 | ||||||
| Volume: | 32 | ||||||
| Number: | 1 | ||||||
| ISSN: | 2171-679X | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/12874 |
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