档案中的数学:解构史学和现代几何的形成(1837-1852)。

IF 0.7 1区 哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE British Journal for the History of Science Pub Date : 2021-12-01 DOI:10.1017/S0007087421000625
Nicolas Michel, Ivahn Smadja
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引用次数: 1

摘要

本文探讨了法国几何学家Michel Chasles(1793-1880)的研究实践,从他1837年的aperaperu historque到1846年至1852年他的“高等几何”课程的准备。它认为,这种科学追求是在史学和数学领域共同进行的。认识论技术,如对手稿的档案搜索和比较,过去几何方法的解构历史编纂,以及认识论驱动的数学历史分期,在塑造查尔斯自己的理论中发挥了至关重要的作用。特别地,我们介绍了查尔斯对代数符号的“物质历史”的研究方法,并认为这激发并影响了他后来发明的一种新的符号技术,用于书写几何证明和命题。作为回报,这种技术使查尔斯能够执行几何现代化的计划,与他通过历史写作形式描绘的认识要求保持一致。
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Mathematics in the archives: deconstructive historiography and the shaping of modern geometry (1837-1852).

This essay explores the research practice of French geometer Michel Chasles (1793-1880), from his 1837 Aperçu historique up to the preparation of his courses on 'higher geometry' between 1846 and 1852. It argues that this scientific pursuit was jointly carried out on a historiographical and a mathematical terrain. Epistemic techniques such as the archival search for and comparison of manuscripts, the deconstructive historiography of past geometrical methods, and the epistemologically motivated periodization of the history of mathematics are shown to have played a crucial role in the shaping of Chasles's own theories. In particular, we present Chasles's approach to the 'material history' of algebraic symbolism and argue that it motivated and informed his subsequent invention of a novel notational technology for the writing of geometrical proofs and propositions. In return, this technology allowed Chasles to carry out a programme for the modernization of geometry in keeping with epistemic requirements he had also delineated via a form of historical writing.

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来源期刊
CiteScore
0.80
自引率
12.50%
发文量
59
期刊介绍: This leading international journal publishes scholarly papers and review articles on all aspects of the history of science. History of science is interpreted widely to include medicine, technology and social studies of science. BJHS papers make important and lively contributions to scholarship and the journal has been an essential library resource for more than thirty years. It is also used extensively by historians and scholars in related fields. A substantial book review section is a central feature. There are four issues a year, comprising an annual volume of over 600 pages. Published for the British Society for the History of Science
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