Chapters in this book

1. Frontmatter i
2. Acknowledgments vii
3. Contents xi
4. Introduction 1
5. CHAPTER 1. Preludes in Analysis 6
6. CHAPTER 2. The Origins of Cantorian Set Theory: Trigonometric Series, Real Numbers, and Derived Sets 30
7. CHAPTER 3. Denumerability and Dimension 47
8. CHAPTER 4. Cantor's Early Theory of Point Sets 77
9. CHAPTER 5. The Mathematics of Cantor's Grundlagen 95
10. CHAPTER 6. Cantor's Philosophy of the Infinite 120
11. CHAPTER 7. From the Grundlagen to the Beitrdge, 1883-1895 149
12. CHAPTER 8. The Beiträge, Part I: The Study of Simply-Ordered Sets 169
13. CHAPTER 9. The Beiträge, Part II: The Study of Weil-Ordered Sets 194
14. CHAPTER 10. The Foundations and Philosophy of Cantorian Set Theory 219
15. CHAPTER 11. The Paradoxes and Problems of Post-Cantorian Set Theory 240
16. CHAPTER 12. Epilogue: The Significance of Cantor's Personality 271
17. Appendixes 303
18. Notes 315
19. Bibliography 361
20. Index 385