We prove: Theorem. If T is a countable, complete, stable, first-order theory having an infinite set of constants with different interpretations, then I(T,ℵ₀) ≥ ℵ₀.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm169-2-3,
author = {Predrag Tanovi\'c},
title = {On the number of countable models of stable theories},
journal = {Fundamenta Mathematicae},
volume = {167},
year = {2001},
pages = {139-144},
zbl = {0985.03022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm169-2-3}
}
Predrag Tanović. On the number of countable models of stable theories. Fundamenta Mathematicae, Tome 167 (2001) pp. 139-144. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm169-2-3/