Overview
- Authors:
-
-
Gaisi Takeuti
-
University of Illinois, USA
-
Wilson M. Zaring
-
University of Illinois, USA
Access this book
Other ways to access
Table of contents (25 chapters)
-
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 1-1
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 3-24
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 25-34
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 35-46
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 47-50
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 51-58
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 59-63
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 64-78
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 79-86
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 87-101
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 102-105
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 106-113
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 114-120
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 121-130
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 131-142
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 143-147
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 148-159
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 160-164
-
- Gaisi Takeuti, Wilson M. Zaring
Pages 165-168
About this book
This text deals with three basic techniques for constructing models of Zermelo-Fraenkel set theory: relative constructibility, Cohen's forcing, and Scott-Solovay's method of Boolean valued models. Our main concern will be the development of a unified theory that encompasses these techniques in one comprehensive framework. Consequently we will focus on certain funda mental and intrinsic relations between these methods of model construction. Extensive applications will not be treated here. This text is a continuation of our book, "I ntroduction to Axiomatic Set Theory," Springer-Verlag, 1971; indeed the two texts were originally planned as a single volume. The content of this volume is essentially that of a course taught by the first author at the University of Illinois in the spring of 1969. From the first author's lectures, a first draft was prepared by Klaus Gloede with the assistance of Donald Pelletier and the second author. This draft was then rcvised by the first author assisted by Hisao Tanaka. The introductory material was prepared by the second author who was also responsible for the general style of exposition throughout the text. We have inc1uded in the introductory material al1 the results from Boolean algebra and topology that we need. When notation from our first volume is introduced, it is accompanied with a deflnition, usually in a footnote. Consequently a reader who is familiar with elementary set theory will find this text quite self-contained.
