Georg Cantor : : His Mathematics and Philosophy of the Infinite /

Georg Cantor : : His Mathematics and Philosophy of the Infinite / / Joseph Warren Dauben.

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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...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
VerfasserIn:
Dauben, Joseph Warren,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2020]
©1991
Year of Publication:2020
Language:English
Online Access:
Physical Description:1 online resource (424 p.)
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Table of Contents:
  • 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

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