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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Dauben, Joseph W., 1944-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, 1990.
Colección:Book collections on Project MUSE.
Temas:
Cantor, Georg, > 1845-1918.
Cantor, Georg, > 1845-1918
Cantor, Georg > 1845-1918
Set theory > History.
Transfinite numbers > History.
Infinite.
Théorie des ensembles > Histoire.
Nombres transfinis > Histoire.
Infini.
infinity.
Infinite
Set theory
Transfinite numbers
Zahlentheorie
Philosophie
Mathematik
Unendlichkeit
History
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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