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Author Hinkis, Arie.
Title Proofs of the Cantor-Bernstein theorem [electronic resource] : a mathematical excursion / Arie Hinkis.
Publication Info. Heidelberg ; New York : Birkhäuser, c2013.
Location Call No. Status Notes
 Libraries Electronic Books  ELECTRONIC BOOKS-DDA    AVAIL. ONLINE
Description 1 online resource.
Series Science networks historical studies.
Contents Cantor and Dedekind. Cantor's CBT Proof for Sets of the Power of (II) -- Generalizing Cantor's CBT Proof -- CBT in Cantor's1878 Beitrag -- The Theory of Inconsistent Sets -- Comparability in Cantor's Writings -- The Scheme of Complete Disjunction -- Ruptures in the Cantor-Dedekind Correspondence -- The Inconsistency of Dedekind's Infinite Set -- Dedekind's Proof of CBT -- The Early Proofs. Schröder's Proof of CBT -- Bernstein, Borel and CBT -- Schoenflies' 1900 Proof of CBT -- Zermelo's 1901 Proof of CBT -- Bernstein's Division Theorem -- Under the Logicist Sky. Russell's 1902 Proof of CBT -- The role of CBT in Russell's paradox -- Jourdain's 1904 generalization of Grundlagen -- Harward 1905 on Jourdain 1904 -- Poincare and CBT -- Peano's proof of CBT -- J. Konig's strings gestalt -- From kings to graphs -- Jourdain's improvements round -- Zermelo's 1908 proof of CBT -- Korselt's proof of CBT -- Proofs of CBT in principa mathematica -- The origin of Hausdorff paradox in BDT -- Sierpinski's proofs of BDT -- Banach's proof of CBT -- At the Polish School. Kuratowski's proof of BDT -- Early fixed-point CBT proofs: Whitaker; Tarski-Knaster -- CBT and BDT for order types -- Sikorski's proof of BDT and the inequality-BDT -- Tarski's fixed-point theorem and CBT -- Reichbach's proof of CBT -- Other Ends and Beginnings. Hellmann's proof of CBT -- CBT and intuitionism -- CBT in category theory.
Bibliography Includes bibliographical references and indexes.
Reproduction Electronic reproduction. Perth, W.A. Available via World Wide Web.
Note Description based on print version record.
Subject Set theory.
Added Author Ebooks Corporation
Related To Print version: Hinkis, Arie Proofs of the Cantor-Bernstein Theorem : A Mathematical Excursion Dordrecht : Springer, c2012 9783034802239
ISBN 9783034802246 (electronic bk.)
3034802242 (electronic bk.)
9783034802239
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