Georg Cantor : : His Mathematics and Philosophy of the Infinite /

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

Show other versions (1)

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...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
VerfasserIn:
Dauben, Joseph Warren,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2020]
©1991
Year of Publication:2020
Language:English
Online Access:
Physical Description:1 online resource (424 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
LEADER 05273nam a22010935i 4500
001 9780691214207
003 DE-B1597
005 20210830012106.0
006 m|||||o||d||||||||
007 cr || ||||||||
008 210830t20201991nju fo d z eng d
020 |a 9780691214207 
024 7 |a 10.1515/9780691214207  |2 doi 
035 |a (DE-B1597)554811 
035 |a (OCoLC)1198929706 
040 |a DE-B1597  |b eng  |c DE-B1597  |e rda 
041 0 |a eng 
044 |a nju  |c US-NJ 
050 4 |a QA248  |b .D27 1990 
072 7 |a SCI034000  |2 bisacsh 
082 0 4 |a 511.3/22/09  |2 23 
100 1 |a Dauben, Joseph Warren,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Georg Cantor :  |b His Mathematics and Philosophy of the Infinite /  |c Joseph Warren Dauben. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2020] 
264 4 |c ©1991 
300 |a 1 online resource (424 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 0 |t Frontmatter --   |t Acknowledgments --   |t Contents --   |t Introduction --   |t CHAPTER 1. Preludes in Analysis --   |t CHAPTER 2. The Origins of Cantorian Set Theory: Trigonometric Series, Real Numbers, and Derived Sets --   |t CHAPTER 3. Denumerability and Dimension --   |t CHAPTER 4. Cantor's Early Theory of Point Sets --   |t CHAPTER 5. The Mathematics of Cantor's Grundlagen --   |t CHAPTER 6. Cantor's Philosophy of the Infinite --   |t CHAPTER 7. From the Grundlagen to the Beitrdge, 1883-1895 --   |t CHAPTER 8. The Beiträge, Part I: The Study of Simply-Ordered Sets --   |t CHAPTER 9. The Beiträge, Part II: The Study of Weil-Ordered Sets --   |t CHAPTER 10. The Foundations and Philosophy of Cantorian Set Theory --   |t CHAPTER 11. The Paradoxes and Problems of Post-Cantorian Set Theory --   |t CHAPTER 12. Epilogue: The Significance of Cantor's Personality --   |t Appendixes --   |t Notes --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) 
650 0 |a Infinite. 
650 0 |a Set theory  |x History. 
650 0 |a Transfinite numbers  |x History. 
650 7 |a SCIENCE / History.  |2 bisacsh 
653 |a Aristotle. 
653 |a Arithmetic. 
653 |a Berlin, Germany. 
653 |a Borchardt, C. W. 
653 |a Catholic church. 
653 |a Consistency. 
653 |a Continuity. 
653 |a Derived Set(s). 
653 |a Diagonal method. 
653 |a Epistemology. 
653 |a Equivalence. 
653 |a Finitism. 
653 |a Fourier series. 
653 |a Goldscheider, F. 
653 |a Grattan-Guinness, I. 
653 |a Hermite, C. 
653 |a Jeiler, I. 
653 |a Joseph of Arimathea. 
653 |a Kerry, B. 
653 |a Kronecker, L. 
653 |a Limit points. 
653 |a Logic. 
653 |a Mathematics. 
653 |a Neo-Thomism. 
653 |a Order types. 
653 |a Paradoxes. 
653 |a Point sets. 
653 |a Power(s). 
653 |a Quaternions. 
653 |a Schoenflies, A. 
653 |a Set theory. 
653 |a Subsets. 
653 |a Theologians. 
653 |a Transfinite numbers. 
653 |a Trigonemetric series. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
856 4 0 |u https://doi.org/10.1515/9780691214207?locatt=mode:legacy 
856 4 0 |u https://www.degruyter.com/isbn/9780691214207 
856 4 2 |3 Cover  |u https://www.degruyter.com/cover/covers/9780691214207.jpg 
912 |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999  |c 1927  |d 1999 
912 |a EBA_BACKALL 
912 |a EBA_CL_HICS 
912 |a EBA_EBACKALL 
912 |a EBA_EBKALL 
912 |a EBA_ECL_HICS 
912 |a EBA_EEBKALL 
912 |a EBA_ESSHALL 
912 |a EBA_PPALL 
912 |a EBA_SSHALL 
912 |a GBV-deGruyter-alles 
912 |a PDA11SSHE 
912 |a PDA13ENGE 
912 |a PDA17SSHEE 
912 |a PDA5EBK 

Similar Items