Georg Cantor

Released on by Joseph Warren Dauben
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  • Georg Cantor Book Detail

  • Author : Joseph Warren Dauben
  • Release Date : 1990
  • Publisher : Princeton University Press
  • Genre : Infinite..
  • Pages : 422
  • ISBN 13 : 9780691085838
  • File Size : 16,16 MB
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Georg Cantor by Joseph Warren Dauben PDF Summary

Book Description: 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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Georg Cantor

Georg Cantor

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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

Georg Cantor

Georg Cantor

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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

The Philosophy of Set Theory

The Philosophy of Set Theory

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DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinali