Authors: Amir D. Aczel
ISBN-13: 9780743422994, ISBN-10: 0743422996
Format: Paperback
Publisher: Simon & Schuster Adult Publishing Group
Date Published: August 2001
Edition: (Non-applicable)
Amir D. Aczel is the bestselling author of ten books, including Entanglement, The Riddle of the Compass, The Mystery of the Aleph, and Fermat's Last Theorem. He lives in Brookline, Massachusetts.
From the end of the 19th century until his death, one of history's most brilliant mathematicians languished in an asylum. The Mystery of the Aleph tells the story of Georg Cantor (1845-1918), a Russian-born German who created set theory, the concept of infinite numbers, and the "continuum hypothesis," which challenged the very foundations of mathematics. His ideas brought expected denunciation from established corners - he was called a "corruptor of youth" not only for his work in mathematics, but for his larger attempts to meld spirituality and science.
An engaging, pellucid explanation of the mathematical understanding of infinity, enlivened by a historical gloss of the age-old affinities between religious and secular conceptions of the infinite.
o Halle | 1 |
1 Ancient Roots | 11 |
2 Kabbalah | 25 |
3 Galileo and Bolzano | 45 |
4 Berlin | 65 |
5 Squaring the Circle | 83 |
6 The Student | 93 |
7 The Birth of Set Theory | 99 |
8 The First Circle | 111 |
9 "I See It, but I Don't Believe It" | 119 |
10 Virulent Opposition | 131 |
11 The Transfinite Numbers | 139 |
12 The Continuum Hypothesis | 149 |
13 Shakespeare and Mental Illness | 157 |
14 The Axiom of Choice | 171 |
15 Russell's Paradox | 179 |
16 Marienbad | 185 |
17 The Viennese Café | 191 |
18 The Night of June 14-15, 1937 | 201 |
19 Leibniz, Relativity, and the U.S. Constitution | 207 |
20 Cohen's Proof and the Future of Set Theory | 213 |
21 The Infinite Brightness of theChaluk | 223 |
Appendix | 229 |
Author's Note | 233 |
References | 237 |
Notes | 241 |
Index | 249 |