On Theories Having Three Countable Models
โ Scribed by Koichiro Ikeda; Akito Tsuboi; Anand Pillay
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 368 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
โฆ Synopsis
A theory T is called almost No-categorical if for any pure typespl(zl), . . . ,pn(zn) there are only finitely many pure types which extend p 1 ( ~1 ) U . . . U p ~( z , ) . It is shown that if T is an almost No-categorical theory with I(No,T) = 3, then a dense linear ordering is interpretable in T .
๐ SIMILAR VOLUMES
SOME THEORIES HAVING COUKTABLY MANY COUNTABLE MODELS by SICEL J. CUTLAND in Hull (Great Britain
Let U be the random unary predicate and T be the almost sure first-order n, p k y1r k ลฝ . theory of U under the linear ordering, where k is a positive integer and n < p n < n, p n y1rลฝ kq1. . For each k, we give an axiomatization for the theory T . We find a model M M of k k T of order type roughly