Reflection Principles in Fragments of Peano Arithmetic
β Scribed by Hiroakira Ono
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 952 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we study the automorphism groups of models of Peano Arithmetic. Kossak, Kotlarski, and Schmerl [9] shows that the stabilizer of an unbounded element a of a countable recursively saturated model of Peano Arithmetic M is a maximal subgroup of Aut(M ) if and only if the type of a is selec
## Abstract The shortest definition of a number by a first order formula with one free variable, where the notion of a formula defining a number extends a notion used by Boolos in a proof of the Incompleteness Theorem, is shown to be non computable. This is followed by an examination of the complex
## Abstract In this paper, we investigate definable models of Peano Arithmetic PA in a model of PA. For any definable model __N__ without parameters in a model __M__, we show that __N__ is isomorphic to __M__ if __M__ is elementary extension of the standard model and __N__ is elementarily equivalen
## Abstract We show that that every countable model of __PA__ has a conservative extension __M__ with a subset __Y__ such that a certain Ξ£~1~(__Y__)βformula defines in __M__ a subset which is not r. e. relative to __Y__.