Article ID Journal Published Year Pages File Type
4662125 Annals of Pure and Applied Logic 2010 12 Pages PDF
Abstract

Let T be a complete, countable, first-order theory having infinite models. We introduce types directed by constants, and prove that their presence in a model of T guaranties the maximal number of non-isomorphic countable models :  I(ℵ0,T)=2ℵ0.

Related Topics
Physical Sciences and Engineering Mathematics Logic