Caroline Terry : Examples of Non-isomorphic Prime Models

Posted by , part of the Louise Hay Logic Seminar.

At

Nov. 29, 2012, 3 p.m.

In

SEO 427

Abstract

It is a theorem due to Shelah that for L a countable language, T a stable theory, then if T has a prime model over a set A, it is unique. In this talk we describe two examples where this is not the case. In particular we describe an example of a stable theory in an uncountable language with non-isomorphic prime models, and an example of an unstable theory in a countable language with non-isomporphic prime models over a set A.