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Georg Cantor His Mathematics and Philosophy of the Infinite~tqw~_darksiderg

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INFO
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Title................: Georg Cantor His Mathematics and Philosophy of the
Infinite
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 27 MB
Torrent Hash.........: 35D6B9353E854EAE46833A170A11B9628BD6B343
Posted by............: ~tqw~

Trackers:
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udp://tracker.torrentbay.to:6969/announce
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Notes:

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CONTENTS
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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 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.

Table Of Contents:
Introduction 1
1 Preludes in Analysis 6
2 The Origins of Cantorian Set Theory: Trigonometric Series,
Real Numbers, and Derived Sets 30
3 Denumerability and Dimension 47
4 Cantor's Early Theory of Point Sets 77
5 The Mathematics of Cantor's Grundlagen 95
6 Cantor's Philosophy of the Infinite 120
7 From the Grundlagen to the Beitrage, 1883-1895 149
8 The Beitrage, Part I: The Study of Simply-Ordered Sets 169
9 The Beitrage, Part II: The Study of Well-Ordered Sets 194
10 The Foundations and Philosophy of Cantorian Set Theory 219
11 The Paradoxes and Problems of Post-Cantorian Set Theory 240
12 Epilogue: The Significance of Cantor's Personality 271
Appendixes: Previously Unpublished Correspondence 303
Notes 315
Bibliography 361
Index 385

Product Details:
* Pub. Date: September 1990
* Publisher: Princeton University Press
* Format: Paperback, 424pp
* ISBN-13: 9780691024479
* ISBN: 0691024472
* Edition Description: Reprint

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