Inconsistent Models of Arithmetic Part I: Finite Models
β Scribed by Graham Priest
- Book ID
- 111533121
- Publisher
- Springer Netherlands
- Year
- 1997
- Tongue
- English
- Weight
- 175 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0022-3611
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π SIMILAR VOLUMES
## Abstract We prove that the finiteβmodel version of arithmetic with the divisibility relation is undecidable (more precisely, it has Ξ ^0^~1~βcomplete set of theorems). Additionally we prove FMβrepresentability theorem for this class of finite models. This means that a relation __R__ on natural nu
PA we define the rfcursively saturated part of XU by RS(9Jl) = ( a E $1: ( 3 8 < YJ?) ( a E )%I and 8 is recursively saturated)). We shall study various possibilities for the relationship between 912 and RS(XU). Tliii paper has grown out of our observation that it may happen that , D is a simple ex