{"title":"档案中的数学:解构史学和现代几何的形成(1837-1852)。","authors":"Nicolas Michel, Ivahn Smadja","doi":"10.1017/S0007087421000625","DOIUrl":null,"url":null,"abstract":"<p><p>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.</p>","PeriodicalId":46655,"journal":{"name":"British Journal for the History of Science","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Mathematics in the archives: deconstructive historiography and the shaping of modern geometry (1837-1852).\",\"authors\":\"Nicolas Michel, Ivahn Smadja\",\"doi\":\"10.1017/S0007087421000625\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>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.</p>\",\"PeriodicalId\":46655,\"journal\":{\"name\":\"British Journal for the History of Science\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"British Journal for the History of Science\",\"FirstCategoryId\":\"98\",\"ListUrlMain\":\"https://doi.org/10.1017/S0007087421000625\",\"RegionNum\":1,\"RegionCategory\":\"哲学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"HISTORY & PHILOSOPHY OF SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"British Journal for the History of Science","FirstCategoryId":"98","ListUrlMain":"https://doi.org/10.1017/S0007087421000625","RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"HISTORY & PHILOSOPHY OF SCIENCE","Score":null,"Total":0}
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.
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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