Georg Cantor : his mathematics and philosophy of the infinite

Joseph Warren Dauben

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 study, the most thorough yet written of 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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書名 Georg Cantor : his mathematics and philosophy of the infinite
著作者等 Dauben, Joseph Warren
Dauben Joseph W.
シリーズ名 Princeton paperbacks
出版元 Princeton University Press
刊行年月 1990, c1979
ページ数 ix, 404 p.
大きさ 24 cm
ISBN 0691024472
NCID BA10995620
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言語 英語
出版国 アメリカ合衆国