Library Catalog
Amazon cover image
Image from Amazon.com

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

By: Material type: TextTextPublisher: Princeton, NJ : Princeton University Press, [2020]Copyright date: ©1991Description: 1 online resource (424 p.)Content type:
Media type:
Carrier type:
ISBN:
  • 9780691214207
Subject(s): DDC classification:
  • 511.3/22/09 23
LOC classification:
  • QA248 .D27 1990
Other classification:
  • online - DeGruyter
Online resources:
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
Summary: 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 "corrupter of youth" for an innovation that is now a vital component of elementary school curricula. Set theory has been widely adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. Cantor's own faith in his theory was partly theological. His religious beliefs led him to expect paradoxes in any concept of the infinite, and he always retained his belief in the utter veracity of transfinite set theory. Later in his life, he was troubled by recurring attacks of severe depression. Dauben shows that these played an integral part in his understanding and defense of set theory.
Holdings
Item type Current library Call number URL Status Notes Barcode
eBook eBook Biblioteca "Angelicum" Pont. Univ. S.Tommaso d'Aquino Nuvola online online - DeGruyter (Browse shelf(Opens below)) Online access Not for loan (Accesso limitato) Accesso per gli utenti autorizzati / Access for authorized users (dgr)9780691214207

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

restricted access online access with authorization star

http://purl.org/coar/access_right/c_16ec

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 "corrupter of youth" for an innovation that is now a vital component of elementary school curricula. Set theory has been widely adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. Cantor's own faith in his theory was partly theological. His religious beliefs led him to expect paradoxes in any concept of the infinite, and he always retained his belief in the utter veracity of transfinite set theory. Later in his life, he was troubled by recurring attacks of severe depression. Dauben shows that these played an integral part in his understanding and defense of set theory.

Mode of access: Internet via World Wide Web.

In English.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)