دانلود کتاب Proofs of the Cantor-Bernstein Theorem: A Mathematical Excursion
by Arie Hinkis
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عنوان فارسی: اثبات قضیه کانتور-برنشتاین: یک سفر ریاضی |
دانلود کتاب
جزییات کتاب
Contents: 1. Cantor's CBT Proof for Sets of the Power of (II) — 2. Generalizing Cantor's CBT Proof — 3. CBT in Cantor's 1878 Beitrag — 4. The Theory of Inconsistent Sets — 5. Comparability in Cantor's Writings — 6. The Scheme of Complete Disjunction — 7. Ruptures in the Cantor-Dedekind Correspondence — 8. The Inconsistency of Dedekind's Infinite Set — 9. Dedekind's Proof of CBT — 10. Schröder's Proof of CBT — 11. Bernstein, Borel and CBT — 12. Schoenflies' 1900 Proof of CBT — 13. Zermelo's 1901 Proof of CBT — 14. Bernstein's Division Theorem — 15. Russell's 1902 Proof of CBT — 16. The Role of CBT in Russell's Paradox — 17. Jourdain's 1904 Generalization of Grundlagen — 18. Harward 1905 on Jourdain 1904 — 19. Poincaré and CBT — 20. Peano's Proof of CBT — 21. J. Kőnig's Strings Gestalt — 22. From Kings to Graphs — 23. Jourdain's Improvements Round — 24. Zermelo's 1908 Proof of CBT — 25. Korselt's Proof of CBT — 26. Proofs of CBT in Principia Mathematica — 27. The Origin of Hausdorff Paradox in BDT — 28. Sierpiński's Proofs of BDT — 29. Banach's Proof of CBT — 30. Kuratowski's proof of BDT — 31. Early Fixed-Point CBT Proofs: Whitaker; Tarski-Knaster — 32. CBT and BDT for Order-Types — 33. Sikorski's Proof of CBT for Boolean Algebras — 34. Tarski's Proofs of BDT and the Inequality-BDT — 35. Tarski's Fixed-Point Theorem and CBT — 36. Reichbach's Proof of CBT — 37. Hellmann's Proof of CBT — 38. CBT and Intuitionism — 39. CBT in Category Theory