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Joseph W. Dauben 作者

Princeton University Press

译者

1990-09-20 出版日期

420 页数

USD 42.00 价格

Paperback

丛书系列

9780691024479 图书编码

Georg Cantor 在线电子书图书标签: 数学史數學闲读數學史数学傳記 nemlophics math

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Georg Cantor 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Georg Cantor 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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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.

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