Historical infinitesimalists and modern historiography of infinitesimals

Historical infinitesimalists and modern historiography of infinitesimals Full article

Journal

Antiquitates mathematicae
ISSN: 2353-8813 , E-ISSN: 1898-5203

Output data

Year: 2022, Volume: 16, Pages: 189-257 Pages count : 69 DOI: 10.14708/am.v16i1.7169

Tags

infinitesimals; determinacy; contingency; Leibniz; Cauchy

Authors

Bair J. ¹ , Borovik A ² , Kanovei V. ³ , Katz M ⁴ , Kutateladze S ⁵ , Sanders S ⁶ , Sherry D ⁷ , Ugaglia M ⁸

Affiliations

1	University of Liege
2	School of Mathematics, University of Manchester
3	IITP RAS
4	Bar Ilan University,
5	Sobolev Institute of Mathematics
6	Department of Philosophy 2, RUB Bochum
7	Department of Philosophy, Northern Arizona University
8	Il Gallo Silvestre

Abstract. In the history of infinitesimal calculus, we trace innovation from Leibniz to Cauchy and reaction from Berkeley to Mansion and beyond. We explore 19th century infinitesimal lores, including the approaches of Sim ́eon-Denis Poisson, Gaspard-Gustave de Coriolis, and Jean-Nicolas No ̈el. We examine contrasting historiographic approaches to such lores, in the work of Laugwitz, Schubring, Spalt, and others, and address a recent critique by Archibald et al. We argue that the element of contingency in this history is more prominent than many modern historians seem willing to acknowledge

Bair J. , Borovik A. , Kanovei V. , Katz M. , Kutateladze S. , Sanders S. , Sherry D. , Ugaglia M.
Historical infinitesimalists and modern historiography of infinitesimals
Antiquitates mathematicae. 2022. V.16. P.189-257. DOI: 10.14708/am.v16i1.7169 РИНЦ OpenAlex

Submitted:	Dec 12, 2022
Accepted:	Jan 10, 2023
Published print:	Apr 4, 2023
Published online:	Apr 4, 2023

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≡ OpenAlex:	W4327531688