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Labyrinth of Thought : A History of Set Theory and Its Role in Modern Mathematics

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Cover of 'Labyrinth of Thought : A History of Set Theory and Its Role in Modern Mathematics'

Table of Contents

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    Book Overview
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    Chapter 1 Institutional and Intellectual Contexts in German Mathematics, 1800–1870
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    Chapter 2 A New Fundamental Notion: Riemann’s Manifolds
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    Chapter 3 Dedekind and the Set-theoretical Approach to Algebra
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    Chapter 4 The Real Number System
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    Chapter 5 Origins of the Theory of Point-Sets
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    Chapter 6 The Notion of Cardinality and the Continuum Hypothesis
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    Chapter 7 Sets and Maps as a Foundation for Mathematics
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    Chapter 8 The Transfinite Ordinals and Cantor’s Mature Theory
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    Chapter 9 Diffusion, Crisis, and Bifurcation: 1890 to 1914
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    Chapter 10 Logic and Type Theory in the Interwar Period
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    Chapter 11 Consolidation of Axiomatic Set Theory
Attention for Chapter 3: Dedekind and the Set-theoretical Approach to Algebra
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Chapter title
Dedekind and the Set-theoretical Approach to Algebra
Chapter number 3
Book title
Labyrinth of Thought
Published by
Birkhäuser Basel, January 2007
DOI 10.1007/978-3-7643-8350-3_3
Book ISBNs
978-3-76-438349-7, 978-3-76-438350-3
View on publisher site

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