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

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樓主
發(fā)表于 2025-3-21 19:54:56 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Labyrinth of Thought
副標(biāo)題A History of Set The
編輯José Ferreirós
視頻videohttp://file.papertrans.cn/581/580391/580391.mp4
叢書名稱Science Networks. Historical Studies
圖書封面Titlebook: Labyrinth of Thought; A History of Set The José Ferreirós Book 19991st edition Birkh?user 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
關(guān)鍵詞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
copyrightBirkh?user Basel 1999
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沙發(fā)
發(fā)表于 2025-3-21 21:21:58 | 只看該作者
https://doi.org/10.1007/978-3-0348-5049-0Cantor; Set Theory; development; history of mathematics; innovation; interaction; logic; mathematics; set; st
板凳
發(fā)表于 2025-3-22 04:26:16 | 只看該作者
Birkh?user Basel 1999
地板
發(fā)表于 2025-3-22 04:34:25 | 只看該作者
Labyrinth of Thought978-3-0348-5049-0Series ISSN 1421-6329 Series E-ISSN 2296-6080
5#
發(fā)表于 2025-3-22 09:39:54 | 只看該作者
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 G?ttingen and Berlin immediately after 1855. Such will be the topic of §§4 and 5. The reason for that particular selection of institut
6#
發(fā)表于 2025-3-22 15:56:28 | 只看該作者
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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發(fā)表于 2025-3-22 18:45:25 | 只看該作者
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發(fā)表于 2025-3-23 00:39:02 | 只看該作者
9#
發(fā)表于 2025-3-23 01:22:21 | 只看該作者
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
10#
發(fā)表于 2025-3-23 09:19:23 | 只看該作者
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