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Introduction to Axiomatic Set Theory

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Table of Contents

1 Introduction.- 2 Language and Logic.- 3 Equality.- 4 Classes.- 5 The Elementary Properties of Classes.- 6 Functions and Relations.- 7 Ordinal Numbers.- 8 Ordinal Arithmetic.- 9 Relational Closure and the Rank Function.- 10 The Axiom of Choice and Cardinal Numbers.- 11 Cofinality, the Generalized Continuum Hypothesis, and Cardinal Arithmetic.- 12 Models.- 13 Absoluteness.- 14 The Fundamental Operations.- 15 The Goedel Model.- 16 Silver Machines.- 17 Applications of Silver Machines.- 18 Introduction to Forcing.- 19 Forcing.- Problem List.- Index of Symbols.

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