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Proofs of the Cantor-Bernstein Theorem

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Cover of 'Proofs of the Cantor-Bernstein Theorem'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Cantor’s CBT Proof for Sets of the Power of (II)
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    Chapter 2 Generalizing Cantor’s CBT Proof
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    Chapter 3 CBT in Cantor’s 1878 Beitrag
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    Chapter 4 The Theory of Inconsistent Sets
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    Chapter 5 Comparability in Cantor’s Writings
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    Chapter 6 The Scheme of Complete Disjunction
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    Chapter 7 Ruptures in the Cantor-Dedekind Correspondence
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    Chapter 8 The Inconsistency of Dedekind’s Infinite Set
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    Chapter 9 Dedekind’s Proof of CBT
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    Chapter 10 Schröder’s Proof of CBT
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    Chapter 11 Bernstein, Borel and CBT
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    Chapter 12 Schoenflies’ 1900 Proof of CBT
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    Chapter 13 Zermelo’s 1901 Proof of CBT
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    Chapter 14 Bernstein’s Division Theorem
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    Chapter 15 Russell’s 1902 Proof of CBT
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    Chapter 16 The Role of CBT in Russell’s Paradox
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    Chapter 17 Jourdain’s 1904 Generalization of Grundlagen
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    Chapter 18 Harward 1905 on Jourdain 1904
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    Chapter 19 Poincaré and CBT
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    Chapter 20 Peano’s Proof of CBT
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    Chapter 21 J. Kőnig’s Strings Gestalt
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    Chapter 22 From Kings to Graphs
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    Chapter 23 Jourdain’s Improvements Round
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    Chapter 24 Zermelo’s 1908 Proof of CBT
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    Chapter 25 Korselt’s Proof of CBT
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    Chapter 26 Proofs of CBT in Principia Mathematica
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    Chapter 27 The Origin of Hausdorff Paradox in BDT
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    Chapter 28 Sierpiński’s Proofs of BDT
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    Chapter 29 Banach’s Proof of CBT
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    Chapter 30 Kuratowski’s Proof of BDT
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    Chapter 31 Early Fixed-Point CBT Proofs: Whittaker; Tarski-Knaster
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    Chapter 32 CBT and BDT for Order-Types
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    Chapter 33 Sikorski’s Proof of CBT for Boolean Algebras
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    Chapter 34 Tarski’s Proofs of BDT and the Inequality-BDT
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    Chapter 35 Tarski’s Fixed-Point Theorem and CBT
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    Chapter 36 Reichbach’s Proof of CBT
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    Chapter 37 Hellmann’s Proof of CBT
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    Chapter 38 CBT and Intuitionism
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    Chapter 39 CBT in Category Theory
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Title
Proofs of the Cantor-Bernstein Theorem
Published by
Springer Basel, January 2013
DOI 10.1007/978-3-0348-0224-6
ISBNs
978-3-03-480223-9, 978-3-03-480224-6
Authors

Hinkis, Arie, Arie Hinkis

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 3 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 33%
Researcher 1 33%
Unknown 1 33%
Readers by discipline Count As %
Computer Science 1 33%
Engineering 1 33%
Unknown 1 33%