Author | Takeuti, Gaisi. author |
---|---|
Title | Introduction to Axiomatic Set Theory [electronic resource] / by Gaisi Takeuti, Wilson M. Zaring |
Imprint | New York, NY : Springer New York, 1982 |
Edition | Second Edition |
Connect to | http://dx.doi.org/10.1007/978-1-4613-8168-6 |
Descript | X, 246 p. online resource |
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 Gรถdel Model -- 16 Silver Machines -- 17 Applications of Silver Machines -- 18 Introduction to Forcing -- 19 Forcing -- Problem List -- Index of Symbols