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Titlebook: Research in History and Philosophy of Mathematics; The CSHPM 2017 Annua Maria Zack,Dirk Schlimm Conference proceedings 2018 Springer Intern

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发表于 2025-3-21 19:55:44 | 显示全部楼层 |阅读模式
书目名称Research in History and Philosophy of Mathematics
副标题The CSHPM 2017 Annua
编辑Maria Zack,Dirk Schlimm
视频videohttp://file.papertrans.cn/828/827978/827978.mp4
概述Contains rigorously reviewed scholarly works on the history and philosophy of mathematics from a variety of time periods and cultures.Contributions are written by the leading scholars in the field.Wil
丛书名称Proceedings of the Canadian Society for History and Philosophy of Mathematics/‘Société canadienne d’
图书封面Titlebook: Research in History and Philosophy of Mathematics; The CSHPM 2017 Annua Maria Zack,Dirk Schlimm Conference proceedings 2018 Springer Intern
描述This volume contains thirteen papers that were presented at the 2017 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques, which was held at Ryerson University in Toronto. It showcases rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics from Ancient Greece to the twentieth century. .A series of chapters all set in the eighteenth century consider topics such as John Marsh’s techniques for the computation of decimal fractions, Euler’s efforts to compute the surface area of scalene cones, a little-known work by John Playfair on the practical aspects of mathematics, and Monge’s use of descriptive geometry. .After a brief stop in the nineteenth century to consider the culture of research mathematics in 1860s Prussia, the book moves into the twentieth century with an examination of the historical context within which the Axiom of Choice was developed and a paper discussing Anatoly Vlasov’s adaptation of the Boltzmann equation to ionized gases. .The remaining chapters deal with the philosophy of twentieth-century mathematics thro
出版日期Conference proceedings 2018
关键词History of Mathematics; Philosophy of Mathematics; Theodosios; John Marsh; d‘Alembert‘s Paradox; Scalene
版次1
doihttps://doi.org/10.1007/978-3-319-90983-7
isbn_softcover978-3-319-90985-1
isbn_ebook978-3-319-90983-7Series ISSN 2366-3308 Series E-ISSN 2366-3316
issn_series 2366-3308
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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发表于 2025-3-21 22:42:13 | 显示全部楼层
John Marsh and the Curious World of Decimal Arithmetic,ion. The most comprehensive exploration of these arithmetical techniques was undertaken by John Marsh in his . of 1742. In this paper we explain Marsh’s achievement, locate his contribution in the context of earlier work, and consider his audience and its implications as evidence for the depth and spread of interest in mathematics in England
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,Euler’s Work on the Surface Area of Scalene Cones,ay be defined. Although the curves seem naturally to involve transcendental quantities, he showed how to adjust so only algebraic quantities are needed. Some details of Euler’s solution for the scalene cones are presented here.
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,Takeuti’s Well-Ordering Proof: Finitistically Fine?, proofs. The rest of the paper is dedicated to investigating the finitistic acceptability of Takeuti’s proof, including a small but important fix to that proof. That discussion strongly suggests that there is a philosophically interesting finitist standpoint that Takeuti’s proof, and therefore Gentzen’s proof, conforms to.
发表于 2025-3-23 01:15:30 | 显示全部楼层
Mathematical Problem Choice and the Contact of Minds,ontact of minds. I examine two exceptional cases which fail to be explained by intrinsic constraints on motivation and posit how this contact could influence usual cases. While not the only constraint or drive in problem choice, establishing contact of minds plays an important role worth further examination.
发表于 2025-3-23 01:40:42 | 显示全部楼层
,Euler’s Discovery and Resolution of D’Alembert’s Paradox,ke air and water, and he uses Robins’ experiments with musket balls to explain this anomaly as a consequence of greater fluid pressure fore of the body than aft of it, due to a corresponding fore–aft asymmetry in the density of the fluid. Essentially, he resolves the apparent paradox by removing the assumption of the fluid’s incompressibility.
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