| 書(shū)目名稱(chēng) | Labyrinth of Thought | | 副標(biāo)題 | A History of Set The | | 編輯 | José Ferreirós | | 視頻video | http://file.papertrans.cn/581/580390/580390.mp4 | | 圖書(shū)封面 |  | | 描述 | .Labyrinth of Thought. discusses the emergence and development of set theory and the set-theoretic approach to mathematics during the period 1850-1940. Rather than focusing on the pivotal figure of Georg Cantor, it analyzes his work and the emergence of transfinite set theory within the broader context of the rise of modern mathematics. The text has a tripartite structure. Part 1, The Emergence of Sets within Mathematics, surveys the initial motivations for a mathematical notion of a set within several branches of the discipline (geometry, algebra, algebraic number theory, real and complex analysis), emphasizing the role played by Riemann in?fostering acceptance of?the set-theoretic approach. In Part 2, Entering the Labyrinth, attention turns to the earliest theories of sets, their evolution, and their reception by the mathematical community; prominent are the epoch-making contributions of Cantor and Dedekind, and the complex interactions between them. Part 3, In Search of an Axiom System, studies the four-decade period from the discovery of set-theoretic paradoxes to G?del’s independence results, an era during which set theory gradually became assimilated into mainstream mathemati | | 出版日期 | Book 2007Latest edition | | 關(guān)鍵詞 | Ferreiros; Foundations of mathematics; History of Mathematics; Methodology of modern mathematics; cardin | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-7643-8350-3 | | isbn_softcover | 978-3-7643-8349-7 | | isbn_ebook | 978-3-7643-8350-3 | | copyright | Birkh?user Basel 2007 |
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