Georg Cantor : his mathematics and philosophy of the infinite /
One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a "corrup...
| Autor principal: | |
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| Format: | Licensed eBooks |
| Idioma: | anglès |
| Publicat: |
Princeton, N.J. :
Princeton University Press
1990.
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| Col·lecció: | Book collections on Project MUSE.
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| Accés en línia: | https://www.jstor.org/stable/10.2307/j.ctv10crfh1 |
Taula de continguts:
- Frontmatter
- Acknowledgments
- Contents
- Introduction
- CHAPTER 1. Preludes in Analysis
- CHAPTER 2. The Origins of Cantorian Set Theory: Trigonometric Series, Real Numbers, and Derived Sets
- CHAPTER 3. Denumerability and Dimension
- CHAPTER 4. Cantor's Early Theory of Point Sets
- CHAPTER 5. The Mathematics of Cantor's Grundlagen
- CHAPTER 6. Cantor's Philosophy of the Infinite
- CHAPTER 7. From the Grundlagen to the Beitrdge, 1883-1895
- CHAPTER 8. The Beiträge, Part I: The Study of Simply-Ordered Sets
- CHAPTER 9. The Beiträge, Part II: The Study of Weil-Ordered Sets
- CHAPTER 10. The Foundations and Philosophy of Cantorian Set Theory
- CHAPTER 11. The Paradoxes and Problems of Post-Cantorian Set Theory
- CHAPTER 12. Epilogue: The Significance of Cantor's Personality
- Appendixes
- Notes
- Bibliography
- Index