Labyrinth of Thought A History of Set Theory and Its Role in Modern Mathematics /
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 contex...
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| Format: | Electronic eBook |
| Language: | English |
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Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2007.
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| Edition: | 2nd ed. 2007. |
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| Online Access: | https://doi.org/10.1007/978-3-7643-8350-3 |
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Table of 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.