ProofWiki:Books/Gaisi Takeuti/Introduction to Axiomatic Set Theory

Gaisi Takeuti: Introduction to Axiomatic Set Theory

Published 1971, Springer-Verlag.

ISBN 0 387 05302 6

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