Book:Raymond M. Smullyan/Set Theory and the Continuum Problem/Revised Edition

Subject Matter

 * Set Theory

Contents

 * Preface to the Revised Edition


 * Preface


 * I AXIOMATIC SET THEORY


 * CHAPTER 1 GENERAL BACKGROUND


 * CHAPTER 2 SOME BASICS OF CLASS-SET THEORY


 * CHAPTER 3 THE NATURAL NUMBERS


 * CHAPTER 4 SUPERINDUCTION, WELL ORDERING AND CHOICE


 * CHAPTER 5 ORDINAL NUMBERS


 * CHAPTER 6 ORDER ISOMORPHISM AND TRANSFINITE RECURSION


 * CHAPTER 7 RANK


 * CHAPTER 8 FOUNDATION, $\epsilon$-INDUCTION, AND RANK


 * CHAPTER 9 CARDINALS


 * II CONSISTENCY OF THE CONTINUUM HYPOTHESIS


 * CHAPTER 10 MOSTOWSKI-SHEPHERDSON MAPPINGS


 * CHAPTER 11 REFLECTION PRINCIPLES


 * CHAPTER 12 CONSTRUCTIBLE SETS


 * CHAPTER 13 $L$ IS A WELL-FOUNDED FIRST-ORDER UNIVERSE


 * CHAPTER 14 CONSTRUCTIBILITY IS ABSOLUTE OVER $L$


 * CHAPTER 15 CONSTRUCTIBILITY AND THE CONTINUUM HYPOTHESIS


 * III FORCING AND INDEPENDENCE RESULTS


 * CHAPTER 16 FORCING, THE VERY IDEA


 * CHAPTER 17 THE CONSTRUCTION OF $S4$ MODELS FOR $ZF$


 * CHAPTER 18 THE AXIOM OF CONSTRUCTIBILITY IS INDEPENDENT


 * CHAPTER 19 INDEPENDENCE OF THE CONTINUUM HYPOTHESIS


 * CHAPTER 20 INDEPENDENCE OF THE AXIOM OF CHOICE


 * CHAPTER 21 CONSTRUCTING CLASSICAL MODELS


 * CHAPTER 22 FORCING BACKGROUND


 * BIBLIOGRAPHY


 * INDEX


 * LIST OF NOTATION