Georg Cantor : His Mathematics and Philosophy of the Infinite /

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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Dauben, Joseph Warren (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2020]
Temas:
Infinite.
Set theory > History.
Transfinite numbers > History.
SCIENCE / History.
Aristotle.
Arithmetic.
Berlin, Germany.
Borchardt, C. W.
Catholic church.
Consistency.
Continuity.
Derived Set(s).
Diagonal method.
Epistemology.
Equivalence.
Finitism.
Fourier series.
Goldscheider, F.
Grattan-Guinness, I.
Hermite, C.
Jeiler, I.
Joseph of Arimathea.
Kerry, B.
Kronecker, L.
Limit points.
Logic.
Mathematics.
Neo-Thomism.
Order types.
Paradoxes.
Point sets.
Power(s).
Quaternions.
Schoenflies, A.
Set theory.
Subsets.
Theologians.
Transfinite numbers.
Trigonemetric series.
Acceso en línea:Texto completo
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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