تقرير
Mathematical conquerors, Unguru polarity, and the task of history
| العنوان: | Mathematical conquerors, Unguru polarity, and the task of history |
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| المؤلفون: | Katz, Mikhail G. |
| المصدر: | Journal of Humanistic Mathematics 10 (2020), no. 1, 475-515 |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - History and Overview, 01A20, 01A45, 01A50, 01A55, 01A60, 01A61, 01A85 |
| الوصف: | We compare several approaches to the history of mathematics recently proposed by Blasjo, Fraser--Schroter, Fried, and others. We argue that tools from both mathematics and history are essential for a meaningful history of the discipline. In an extension of the Unguru-Weil controversy over the concept of geometric algebra, Michael Fried presents a case against both Andre Weil the "privileged observer" and Pierre de Fermat the "mathematical conqueror." We analyze Fried's version of Unguru's alleged polarity between a historian's and a mathematician's history. We identify some axioms of Friedian historiographic ideology, and propose a thought experiment to gauge its pertinence. Unguru and his disciples Corry, Fried, and Rowe have described Freudenthal, van der Waerden, and Weil as Platonists but provided no evidence; we provide evidence to the contrary. We analyze how the various historiographic approaches play themselves out in the study of the pioneers of mathematical analysis including Fermat, Leibniz, Euler, and Cauchy. Comment: 37 pages, 1 figure |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.5642/jhummath.202001.27 |
| URL الوصول: | http://arxiv.org/abs/2002.00249 |
| رقم الأكسشن: | edsarx.2002.00249 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.5642/jhummath.202001.27 |
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