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- Title
Is Pluralism in the History of Mathematics Possible?
- Authors
Bair, Jacques; Borovik, Alexandre; Kanovei, Vladimir; Katz, Mikhail G.; Kutateladze, Semen S.; Sanders, Sam; Sherry, David; Ugaglia, Monica; van Atten, Mark
- Abstract
This letter is in response to the article "A Question of Fundamental Methodology: Reply to Mikhail Katz and His Coauthors", by Archibald et al. in the I Mathematical Intelligencer i [[1]]. Archibald et al. do little to clarify the "Question of Fundamental Methodology" of their title, namely that the history of mathematics, like mathematics itself, could benefit from a plurality of approaches. We have argued that in addition to procedures that can be adequately described in purely Archimedean settings, Leibniz (as well as Cauchy and others) used procedures that exploit genuine infinitesimals, that is, what to him were mathematical entities.
- Subjects
HISTORY of mathematics; PLURALISM; FALSE claims
- Publication
Mathematical Intelligencer, 2023, Vol 45, Issue 1, p8
- ISSN
0343-6993
- Publication type
Article
- DOI
10.1007/s00283-022-10248-0