The aim of this paper is to sketch out three methods of dealing with philosophical questions used by members of the Lvov-Warsaw School. These methods are: analysis of concepts, paraphrase of theses, and axiomatization of theories. In the first part of the paper, we provide a rudimentary analysis of the concept of method. We point to the fact that in order to characterize a certain research method, one has to indicate the aim of applying it, list its stages, and reconstruct its underlying conceptual scheme. In the second part of the paper, we describe analysis, paraphrase and axiomatization in terms of aims, steps, and conceptual tools. We also present some examples of applications of these methods in works by Kazimierz Twardowski, Jan Łukasiewicz, Tadeusz Kotarbiński, Tadeusz Czeżowski, and Kazimierz Ajdukiewicz.