English

Аннотация

This article is dedicated to the method of constant expansion in the study of the number of countable models of a given complete theory. This paper aims to rehabilitate the method of constant expansion by demonstrating its continued relevance and its potential for use in calculating the number of countable models. The main result reveals that the question of reducing the number of countable models from the continuum to a countable number by means of a constant expansion of a theory remains unanswered, contrary to previous beliefs.