Description

Book Synopsis
The continuum hypothesis, introduced by mathematician George Cantor in 1877, states that there is no set of numbers between the integers and real numbers. It was later included as the first of mathematician David Hilbert's twenty-three unsolved math problems. In this book, Kurt Godel sets forth his proof for this problem.

Table of Contents
*Frontmatter, pg. i*CONTENTS, pg. vii*INTRODUCTION, pg. 1*CHAPTER I. THE AXIOMS OF ABSTRACT SET THEORY, pg. 3*CHAPTER II. EXISTENCE OF CLASSES AND SETS, pg. 8*CHAPTER III. ORDINAL NUMBERS, pg. 21*CHAPTER IV. CARDINAL NUMBERS, pg. 30*CHAPTER V. THE MODEL DELTA, pg. 35*CHAPTER VI. PROOF OF THE AXIOMS OF GROUPS A-D FOR THE MODEL DELTA, pg. 45*CHAPTER VII. PROOF THAT V = L HOLDS IN THE MODEL DELTA, pg. 47*CHAPTER VIII. PROOF THAT V = L IMPLIES THE AXIOM OF CHOICE AND THE GENERALISED CONTINTUUM-HYPOTHESIS, pg. 53*APPENDIX, pg. 62*INDEX, pg. 63*Notes Added to the Second Printing, pg. 67*BIBLIOGRAPHY, pg. 72

Consistency of the Continuum Hypothesis

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    A Paperback by Kurt Gödel

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      Publisher: Princeton University Press
      Publication Date: Publication Date: 9/22/1993 12:00:00 AM
      ISBN13: 9780691079271, 978-0691079271
      ISBN10: 0691079277
      Also in:
      Mathematics

      Description

      Book Synopsis
      The continuum hypothesis, introduced by mathematician George Cantor in 1877, states that there is no set of numbers between the integers and real numbers. It was later included as the first of mathematician David Hilbert's twenty-three unsolved math problems. In this book, Kurt Godel sets forth his proof for this problem.

      Table of Contents
      *Frontmatter, pg. i*CONTENTS, pg. vii*INTRODUCTION, pg. 1*CHAPTER I. THE AXIOMS OF ABSTRACT SET THEORY, pg. 3*CHAPTER II. EXISTENCE OF CLASSES AND SETS, pg. 8*CHAPTER III. ORDINAL NUMBERS, pg. 21*CHAPTER IV. CARDINAL NUMBERS, pg. 30*CHAPTER V. THE MODEL DELTA, pg. 35*CHAPTER VI. PROOF OF THE AXIOMS OF GROUPS A-D FOR THE MODEL DELTA, pg. 45*CHAPTER VII. PROOF THAT V = L HOLDS IN THE MODEL DELTA, pg. 47*CHAPTER VIII. PROOF THAT V = L IMPLIES THE AXIOM OF CHOICE AND THE GENERALISED CONTINTUUM-HYPOTHESIS, pg. 53*APPENDIX, pg. 62*INDEX, pg. 63*Notes Added to the Second Printing, pg. 67*BIBLIOGRAPHY, pg. 72

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