Book:Gaisi Takeuti/Introduction to Axiomatic Set Theory

Subject Matter

 * Set Theory
 * Inner Model Theory

Contents

 * Preface


 * $\S 1$. Introduction
 * $\S 2$. Language and Logic
 * $\S 3$. Equality
 * $\S 4$. Classes
 * $\S 5$. The Elementary Properties of Classes
 * $\S 6$. Functions and Relations
 * $\S 7$. Ordinal Numbers
 * $\S 8$. Ordinal Arithmetic
 * $\S 9$. Relational Closure and the Rank Functions
 * $\S 10$. Cardinal Numbers
 * $\S 11$. The Axiom of Choice, the Greater Continuum Hypothesis, and Cardinal Arithmetic
 * $\S 12$. Models
 * $\S 13$. Absoluteness
 * $\S 14$. The Fundamental Operations
 * $\S 15$. The Gödel Model
 * $\S 16$. The Arithmetization of Model Theory
 * $\S 17$. Cohen's Model
 * $\S 18$. Forcing
 * $\S 19$. Languages, Structures and Models


 * Bibliography


 * Problem List


 * Appendix


 * Index


 * Index of Symbols