On Theories Having Three Countable Models

A theory T is called almost 0-categorical if for any pure types p1(x1),…,pn(xn) there are only finitely many pure types which extend p1(x1) ∪…∪pn(xn). It is shown that if T is an almost 0-categorical theory with I(0,T) = 3, then a dense linear ordering is interpretable in T.