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The Mystery of the Aleph: Mathematics, the Kabbalah, and the Search for Infinity

door Amir D. Aczel

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5501644,248 (3.36)9
"In the late 19th century, a brilliant mathematician languished in an asylum. His greatest accomplishment, the result of a series of leaps of insight, was his pioneering understanding of the nature of infinity. This is the story of Georg Cantor: how he came to his theories and the reverberations of his work, the consequences of which shape our world." "Cantor's theory of the infinite is famous for its many seeming contradictions: for example, we can prove there are as many points on a line one inch long as on a line one mile long; we can also prove that in all time there are as many years as there are days. According to Cantor, infinite sets are equal." "The mind-twisting, deeply philosophical work of Cantor has its roots in ancient Greek mathematics and Jewish numerology as found in the mystical work known as the Kabbalah. Cantor used the term aleph - the first letter of the Hebrew alphabet, with all its attendant divine associations - to refer to the mysterious number which is the sum of positive integers. It is not the last positive number, because ... there is no last. It is the ultimate number that is always being approached: just as, for example, there is no last fraction before the number 1"--Jacket.… (meer)
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The misleading subtitle probably is largely responsible for the poor reviews, though the early chapters that jump around quite a bit do it no favors. Overall, I enjoyed it as a easy-reading history of mathematics with specific focus on infinity and set theory, and brief biographies of Georg Cantor and Kurt Godel. To fully realize the promise of the the subtitle, it would've needed far more content exploring the historical intersection of mysticism and mathematics. ( )
  kokeyama | May 25, 2024 |
I abandoned this book at least a decade ago, after reading only one chapter. It's a topic that I'm extremely interested in, but I just don't have a use for a book on this topic that's almost entirely without references. Flipping through the first chapter now in an attempt to remember why I found it so disappointing, this sentence stood out: "A great tribute to the Pythagoreans' intellectual achievements is the fact that they deduced the special place of the number 10 from an abstract mathematical argument rather than from counting the fingers on two hands." This seems pretty speculative; I can't help wondering whether the justification might have come *after* the idea that ten was special.
  _Zoe_ | Jul 7, 2021 |
Interesting, or a caution of staring into infinity. ( )
  micahammon | Dec 19, 2020 |
About the mathematical development of infinity. A few irrelevant bits about the Kabbalah jammed in, sillyness. Otherwise mildly interesting- Then stupidly stopped mid-stream after the end of the work of Kanter.

Overall a stupid book written on behalf of a publisher ( )
  GirlMeetsTractor | Mar 22, 2020 |
An interesting history of people and ideas that I really wish were better written. I found the writing stripped down and formulaic, which is too bad since the topic itself seems filled with interesting possibilities. ( )
  23Goatboy23 | Jan 17, 2020 |
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"In the late 19th century, a brilliant mathematician languished in an asylum. His greatest accomplishment, the result of a series of leaps of insight, was his pioneering understanding of the nature of infinity. This is the story of Georg Cantor: how he came to his theories and the reverberations of his work, the consequences of which shape our world." "Cantor's theory of the infinite is famous for its many seeming contradictions: for example, we can prove there are as many points on a line one inch long as on a line one mile long; we can also prove that in all time there are as many years as there are days. According to Cantor, infinite sets are equal." "The mind-twisting, deeply philosophical work of Cantor has its roots in ancient Greek mathematics and Jewish numerology as found in the mystical work known as the Kabbalah. Cantor used the term aleph - the first letter of the Hebrew alphabet, with all its attendant divine associations - to refer to the mysterious number which is the sum of positive integers. It is not the last positive number, because ... there is no last. It is the ultimate number that is always being approached: just as, for example, there is no last fraction before the number 1"--Jacket.

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