Abstract
I. Mathematical logic has long since come into use in the solution of individual problems of interest in the methodology of science. In this connection the question arises as to how effective this use is, and what its prospects are. Before formulating any general and categorical judgments on that score, it would be useful to discuss special cases of the application of mathematical logic to the methodology of science. In the present article we shall deal with one case of this order, to wit, the utilization of mathematical logic in investigating the problem of possibility and necessity