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Georg Cantor: His Mathematics and Philosophy of the Infinite - Softcover

 
9780691024479: Georg Cantor: His Mathematics and Philosophy of the Infinite

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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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One of the greatest revolutions in mathematics occurred when Georg Cantor promulgated his theory of tranfinite 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.

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Dauben, Joseph Warren
Published by Princeton University Press, 1990
ISBN 10: 0691024472 ISBN 13: 9780691024479
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Paperback. Condition: Very Good+. Dust Jacket Condition: No Dust Jacket. First Edition (?); First Impression. 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 numberswhile 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. Seller Inventory # LCB64148

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