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Labyrinth of thought : a history of set theory and its role in modern mathematics

Author: José Ferreirós Domínguez
Publisher: Basel, Switzerland ; Boston : Birkhäuser, ©2007.
Edition/Format:   eBook : Document : English : 2nd rev. edView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
History
Additional Physical Format: Print version:
Ferreirós Domínguez, José.
Labyrinth of thought.
Basel, Switzerland ; Boston : Birkhäuser, ©2007
(DLC) 2007931860
(OCoLC)171555512
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: José Ferreirós Domínguez
ISBN: 9783764383503 376438350X 3764383496 9783764383497
OCLC Number: 302342325
Description: 1 online resource (xxv, 466 pages) : illustrations, portraits
Contents: The Emergence of Sets within Mathematics --
Institutional and Intellectual Contexts in German Mathematics, 1800-1870 --
A New Fundamental Notion: Riemann's Manifolds --
Dedekind and the Set-theoretical Approach to Algebra --
The Real Number System --
Origins of the Theory of Point-Sets --
Entering the Labyrinth-Toward Abstract Set Theory --
The Notion of Cardinality and the Continuum Hypothesis --
Sets and Maps as a Foundation for Mathematics --
The Transfinite Ordinals and Cantor's Mature Theory --
In Search of an Axiom System --
Diffusion, Crisis, and Bifurcation: 1890 to 1914 --
Logic and Type Theory in the Interwar Period --
Consolidation of Axiomatic Set Theory.
Responsibility: José Ferreirós.
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"Jose Ferreiros has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging.  Read more...

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From the book reviews:"The book is a thorough, deep, fascinating work. It is not only recommended, it is compulsory for anyone interested in the history of mathematical ideas." (Laszlo I. Szabo, Acta Read more...

 
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