Consistency of the Continuum Hypothesis. (AM-3), Volume 3 / / Kurt Gödel.

Kurt Gödel, mathematician and logician, was one of the most influential thinkers of the twentieth century. Gödel fled Nazi Germany, fearing for his Jewish wife and fed up with Nazi interference in the affairs of the mathematics institute at the University of Göttingen. In 1933 he settled at the Inst...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1941
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 3
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Physical Description:1 online resource (69 p.)
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Table of Contents:
  • Frontmatter
  • CONTENTS
  • INTRODUCTION
  • CHAPTER I. THE AXIOMS OF ABSTRACT SET THEORY
  • CHAPTER II. EXISTENCE OF CLASSES AND SETS
  • CHAPTER III. ORDINAL NUMBERS
  • CHAPTER IV. CARDINAL NUMBERS
  • CHAPTER V. THE MODEL Δ
  • CHAPTER VI. PROOF OF THE AXIOMS OF GROUPS A-D FOR THE MODEL Δ
  • CHAPTER VII. PROOF THAT V = L HOLDS IN THE MODEL Δ
  • CHAPTER VIII. PROOF THAT V = L IMPLIES THE AXIOM OF CHOICE AND THE GENERALISED CONTINTUUM-HYPOTHESIS
  • APPENDIX
  • INDEX
  • Notes Added to the Second Printing
  • BIBLIOGRAPHY