Concerning the Axioms of Ackermann's Set Theory
β Scribed by Wojciech Buszkowski
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 552 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract This is a study of the relative interpretability of the axiom of extensionality in the positive set theory. This work has to be considered in the line of works of R. O. Gandy, D. Scott and R. Hinnion who have studied the relative interpretability of the axiom of extensionality in set th
## Abstract In this paper we introduce a theory of finite sets FST with a strong negation of the axiom of infinity asserting that every set is provably bijective with a natural number. We study in detail the role of the axioms of Power Set, Choice, Regularity in FST, pointing out the relative depen
## Abstract A weak form of intuitionistic set theory **WST** lacking the axiom of extensionality is introduced. While **WST** is too weak to support the derivation of the law of excluded middle from the axiom of choice, we show that bee.ng up **WST** with moderate extensionality principles or quoti