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