The Inconsistency of a Certain Axiom System for Set Theory
β Scribed by James D. Davis
- Book ID
- 124972853
- Publisher
- Association for Symbolic Logic
- Year
- 1972
- Tongue
- English
- Weight
- 235 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0022-4812
- DOI
- 10.2307/2272740
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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 The still unsettled decision problem for the restricted purely universal formulae ((β)~0~βformulae) of the first order setβtheoretic language based over =, β is discussed in relation with the adoption or rejection of the axiom of foundation. Assuming the axiom of foundation, the related