Labyrinth of Thought
Springer Basel (Verlag)
978-3-7643-5749-8 (ISBN)
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Herausgegeben von: Hiebert, Erwin; Knobloch, Eberhard; Scholz, Erhard;
- 23
This text discusses the emergence and development of the notion of set during the period 1850-1950. Instead of focusing directly on the development of set theory, in the technical sense of the expression, it addresses a wider issues such as: why did German mathematicians pay attention to the notion of set?; what were their motivations?; how did set theory turn into a branch of mathematics?; and how did our present conception of it become widely accepted?
One: 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.- Two: 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.- Three: 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.- Bibliographical References.- Index of Illustrations.- Name Index.
| Erscheint lt. Verlag | 1.11.2001 |
|---|---|
| Reihe/Serie | Science Networks. Historical Studies ; 23 |
| Zusatzinfo | XXI, 440 p. |
| Verlagsort | Basel |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 988 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik | |
| Schlagworte | Cantor • Development • Hardcover, Softcover / Mathematik/Allgemeines, Lexika • HC/Mathematik/Allgemeines, Lexika • History of Mathematics • Innovation • interaction • Logic • Mathematics • Menge (Math.) • Reihe • SET • set theory • Story |
| ISBN-10 | 3-7643-5749-5 / 3764357495 |
| ISBN-13 | 978-3-7643-5749-8 / 9783764357498 |
| Zustand | Neuware |
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