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Titlebook: Labyrinth of Thought; A History of Set The José Ferreirós Book 19991st edition Birkhäuser Basel 1999 Cantor.Set Theory.development.history

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发表于 2025-3-21 19:54:56 | 显示全部楼层 |阅读模式
书目名称Labyrinth of Thought
副标题A History of Set The
编辑José Ferreirós
视频video
丛书名称Science Networks. Historical Studies
图书封面Titlebook: Labyrinth of Thought; A History of Set The José Ferreirós Book 19991st edition Birkhäuser Basel 1999 Cantor.Set Theory.development.history
描述."José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic) .
出版日期Book 19991st edition
关键词Cantor; Set Theory; development; history of mathematics; innovation; interaction; logic; mathematics; set; st
版次1
doihttps://doi.org/10.1007/978-3-0348-5049-0
isbn_ebook978-3-0348-5049-0Series ISSN 1421-6329 Series E-ISSN 2296-6080
issn_series 1421-6329
copyrightBirkhäuser Basel 1999
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发表于 2025-3-21 21:21:58 | 显示全部楼层
https://doi.org/10.1007/978-3-0348-5049-0Cantor; Set Theory; development; history of mathematics; innovation; interaction; logic; mathematics; set; st
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Birkhäuser Basel 1999
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Labyrinth of Thought978-3-0348-5049-0Series ISSN 1421-6329 Series E-ISSN 2296-6080
发表于 2025-3-22 09:39:54 | 显示全部楼层
Institutional and Intellectual Contexts in German Mathematics, 1800–1870been strongly associated with the rise of set theory. Therefore, it seems convenient to start by analyzing two different ‘mathematical styles,’ those that reigned in Göttingen and Berlin immediately after 1855. Such will be the topic of §§4 and 5. The reason for that particular selection of institut
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A New Fundamental Notion: Riemann’s Manifolds-theoretical viewpoint” I do not mean to suggest that Riemann reached technical results that we would classify today as belonging to set theory — only that he introduced set language substantially in his treatment of mathematical theories and regarded sets as a foundation for mathematics. This comes
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Origins of the Theory of Point-Setsrelated to the theory of trigonometric series, a subject in which Dirichlet’s work was a milestone. Point-set theory was initially developed as a tool for the study of trigonometric series and real functions. Early steps in this direction were taken by Dirichlet, Lipschitz and Hankel, but Cantor’s w
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