Minor handling wear and slight staining to top of book block. ; A definitive and richly detailed study of Georg Cantor, the brilliant but controversial creator of transfinite set theory. Historian Joseph W. Dauben offers an in-depth analysis of Cantor s groundbreaking work from trigonometric-series roots through development of cardinal and ordinal numbers while discussing the philosophical and theological dimensions that shaped and challenged his intellectual legacy. ; 15.7 X 23.8 X 3.2 cm; IX,420 pages.

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D�tails bibliographiques

Titre: Georg Cantor - His Mathematics and Philosophy of the Infinite
�diteur: Princeton University Press, U. S. A
Date de parution: 1990
Langue: anglais
ISBN � 10 chiffres: 0691024472
ISBN � 13 chiffres: 9780691024479
Reliure: Paperback
�dition: First Edition (?); First Impression.
�tat de l'article: Very Good+
�tat de la jaquette: No Dust Jacket

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Synopsis

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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