Live models in arithmetic?
β Scribed by ISOBEL L. LIVINGSTONE
- Book ID
- 125090886
- Publisher
- National Council of Teachers of Mathematics
- Year
- 1970
- Weight
- 281 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0004-136X
- DOI
- 10.2307/41186132
No coin nor oath required. For personal study only.
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
## Abstract We present some general results concerning the topological space of cuts of a countable model of arithmetic given by a particular indicator __Y__. The notion of βindicatorβ is de.ned in a novel way, without initially specifying what property is indicated and is used to de.ne a topologi