Generator Classes in Set Theory
✍ Scribed by P. Vopênka; B. Balcar
- Publisher
- John Wiley and Sons
- Year
- 1967
- Tongue
- English
- Weight
- 146 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract For each ordinal α it is given a model for Skala's set theory using the well‐known cumulative type hierarchy.
## Abstract It is known that for two given countable sets of unary relations __A__ and __B__ on ω there exists an infinite set __H__ ⫅ ω on which __A__ and __B__ are the same. This result can be used to generate counterexamples in expressibility theory. We examine the sharpness of this result.
## Abstract Constructive set theory started with Myhill's seminal 1975 article [8]. This paper will be concerned with axiomatizations of the natural numbers in constructive set theory discerned in [3], clarifying the deductive relationships between these axiomatizations and the strength of various