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 c
Axiomatic set theory: impredicative theories of classes
β Scribed by R. Chuaqui
- Book ID
- 127453672
- Publisher
- North-Holland
- Year
- 1981
- Tongue
- English
- Weight
- 2 MB
- Series
- Notas de matematica 78 North-Holland mathematics studies 51
- Category
- Library
- City
- Amsterdam; New York
- ISBN
- 0080871623
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study constructive set theories, which deal with (partial) operations applying both to sets and operations themselves. Our starting point is a fully explicit, finitely axiomatized system ESTE of constructive sets and operations, which was shown in [10] to be as strong as PA. In this paper we cons
In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the conΒ sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. Note