论文标题

历史无穷临界师和无限段落的现代史学

Historical infinitesimalists and modern historiography of infinitesimals

论文作者

Bair, Jacques, Borovik, Alexandre, Kanovei, Vladimir, Katz, Mikhail G., Kutateladze, Semen, Sanders, Sam, Sherry, David, Ugaglia, Monica

论文摘要

在无限微积分的历史中,我们追踪了从莱布尼兹(Leibniz)到凯奇(Cauchy)的创新,以及从伯克利(Berkeley)到豪宅及其他地区的反应。我们探索了19世纪的无限lores,包括Simeon-Denis Poisson,Gaspard-Gustave de Coriolis和Jean-Nicolas Noel的方法。我们在Laugwitz,Schubring,Spalt和其他人的工作中研究了对这种厌恶的对比史学方法,并解决了Archibald等人最近的批评。我们认为,这一历史上的偶然性要素比许多现代历史学家似乎愿意承认的要素更为重要。

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 Simeon-Denis Poisson, Gaspard-Gustave de Coriolis, and Jean-Nicolas Noel. 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.

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