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- catalog abstract ""Labyrinth of Thought discusses the emergence and development of set theory and the set-theoretical approach to mathematics during the period 1850-1940. Rather than focusing on the pivotal figure of Georg Cantor, it makes an explicit attempt to analyze his work and the emergence of transfinite set theory within the broader context of the rise of modern mathematics. The author thus addresses such central questions as these: Why and how did mathematicians begin paying close attention to the notion of set? What role did the notion of set play in the emergence of modern mathematics? How did set theory turn into an autonomous branch of mathematics, and how did our present conception of the theory become widely accepted?"--BOOK JACKET.".
- catalog contributor b11513905.
- catalog created "c1999.".
- catalog date "1999".
- catalog date "c1999.".
- catalog dateCopyrighted "c1999.".
- catalog description ""Labyrinth of Thought discusses the emergence and development of set theory and the set-theoretical approach to mathematics during the period 1850-1940. Rather than focusing on the pivotal figure of Georg Cantor, it makes an explicit attempt to analyze his work and the emergence of transfinite set theory within the broader context of the rise of modern mathematics. The author thus addresses such central questions as these: Why and how did mathematicians begin paying close attention to the notion of set? What role did the notion of set play in the emergence of modern mathematics? How did set theory turn into an autonomous branch of mathematics, and how did our present conception of the theory become widely accepted?"--BOOK JACKET.".
- catalog description "Includes bibliographical references (p. [393]-421) and indexes.".
- catalog description "Pt. 1. The Emergence of Sets within Mathematics -- I. Institutional and Intellectual Contexts in German Mathematics, 1800-1870 -- II. A New Fundamental Notion: Riemann's Manifolds -- III. Dedekind and the Set-theoretical Approach to Algebra -- IV. The Real Number System -- V. Origins of the Theory of Point-Sets -- Pt. 2. Entering the Labyrinth -- Toward Abstract Set Theory -- VI. The Notion of Cardinality and the Continuum Hypothesis -- VII. Sets and Maps as a Foundation for Mathematics -- VIII. The Transfinite Ordinals and Cantor's Mature Theory -- Pt. 3. In Search of an Axiom System -- IX. Diffusion, Crisis, and Bifurcation: 1890 to 1914 -- X. Logic and Type Theory in the Interwar Period -- XI. Consolidation of Axiomatic Set Theory.".
- catalog extent "xxi, 440 p. :".
- catalog hasFormat "Labyrinth of thought.".
- catalog identifier "0817657495 (alk. paper)".
- catalog identifier "3764357495 (alk. paper)".
- catalog isFormatOf "Labyrinth of thought.".
- catalog isPartOf "Science networks historical studies ; v. 23.".
- catalog isPartOf "Science networks. Historical studies ; v. 23".
- catalog issued "1999".
- catalog issued "c1999.".
- catalog language "eng".
- catalog publisher "Basel ; Boston : Birkhäuser Verlag,".
- catalog relation "Labyrinth of thought.".
- catalog subject "511.3/22/09 21".
- catalog subject "QA248 .F467 1999".
- catalog subject "Set theory History.".
- catalog tableOfContents "Pt. 1. The Emergence of Sets within Mathematics -- I. Institutional and Intellectual Contexts in German Mathematics, 1800-1870 -- II. A New Fundamental Notion: Riemann's Manifolds -- III. Dedekind and the Set-theoretical Approach to Algebra -- IV. The Real Number System -- V. Origins of the Theory of Point-Sets -- Pt. 2. Entering the Labyrinth -- Toward Abstract Set Theory -- VI. The Notion of Cardinality and the Continuum Hypothesis -- VII. Sets and Maps as a Foundation for Mathematics -- VIII. The Transfinite Ordinals and Cantor's Mature Theory -- Pt. 3. In Search of an Axiom System -- IX. Diffusion, Crisis, and Bifurcation: 1890 to 1914 -- X. Logic and Type Theory in the Interwar Period -- XI. Consolidation of Axiomatic Set Theory.".
- catalog title "Labyrinth of thought : a history of set theory and its role in modern mathematics / José Ferreirós.".
- catalog type "History. fast".
- catalog type "text".