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The mystery of the aleph : mathematics, the Kabbalah, and the search for infinity

Autor Amir D Aczel
Vydavatel: New York : Four Walls Eight Windows, 2000.
Vydání/formát:   Kniha : EnglishZobrazit všechny vydání a formáty
Databáze:WorldCat
Shrnutí:
"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
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Detaily

Osoba: Georg Cantor; Georg Cantor; Georg Cantor
Typ dokumentu: Book
Všichni autoři/tvůrci: Amir D Aczel
ISBN: 156858105X 9781568581057
OCLC číslo: 44090620
Popis: 258 pages : illustrations ; 22 cm
Obsahy: Halle --
Ancient roots --
Kabbalah --
Galileo and Bolzano --
Berlin --
Squaring the circle --
The student --
The birth of set theory --
The first circle --
"I see it, but I don't believe it" --
Virulent opposition --
The transfinite numbers --
The continuum hypothesis --
Shakespeare and mental illness --
The axiom of choice --
Russell's paradox --
Marienbad --
The Viennese café --
The night of June 14-15, 1937 --
Leibniz, relativity, and the U.S. Constitution --
Cohen's proof and the future of set theory --
The infinite brightness of the chaluk.
Odpovědnost: by Amir D. Aczel.
Více informací:

Anotace:

"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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