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Ferreirós, José

Labyrinth of Thought

Ferreirós, José - Labyrinth of Thought, ebook

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ISBN: 9783764383503
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Table of contents

Part One. The Emergence of Sets within Mathematics

1. Institutional and Intellectual Contexts in German Mathematics, 1800–1870

2. A New Fundamental Notion: Riemann’s Manifolds

3. Dedekind and the Set-theoretical Approach to Algebra

4. The Real Number System

5. Origins of the Theory of Point-Sets

Part Two. Entering the Labyrinth-Toward Abstract Set Theory

6. The Notion of Cardinality and the Continuum Hypothesis

7. Sets and Maps as a Foundation for Mathematics

8. The Transfinite Ordinals and Cantor’s Mature Theory

Part Three. In Search of an Axiom System

9. Diffusion, Crisis, and Bifurcation: 1890 to 1914

10. Logic and Type Theory in the Interwar Period

11. Consolidation of Axiomatic Set Theory

Keywords: Mathematics, History of Mathematics

Author(s)
Publisher
Springer
Publication year
2007
Language
en
Edition
2
Page amount
491 pages
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783764383503

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