Nonstandard analysis and axiom of determinateness
β Scribed by N. V. Belyakin; S. P. Odintsov
- Book ID
- 105519108
- Publisher
- Springer US
- Year
- 1993
- Tongue
- English
- Weight
- 375 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0002-5232
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We demonstrate that the special model axiom SMA of Ross admits a natural formalization in Kawdi's nonstandard set theory KST but is independent of KST. As an application of our methods to classical model theory, we present a short proof of the consistency (with ZFC) of the existence of a IC+ like /+
We give an axiomatic characterization for complete elementary extensions, that is, elementary extensions of the first-order structure consisting of all finitary relations and functions on the underlying set. Such axiom systems have been studied using various types of primitive notions (e.g., [1,3,6]