The paper is devoted to two Polish philosophers and logicians Henryk Struve and Władysław Biegański. They represented the traditional pre-mathematical approach to logic and stood on the threshold of the new paradigm of logic as formal mathematical logic. Their views concerning logic and its philosophy as well as its relations to philosophy and mathematics will be analyzed. Those views will be compared with views of their contemporaries and with views of Jan Łukasiewicz—one of the main leaders of Warsaw School of Logic who represented the new paradigm.