The aim of the paper is to provide a critical analysis of the basic assumptions of the cognitive theory of metaphor. The first part is devoted to the issues related to the coherence of the concept of metaphorical mapping. The second one discusses the validity of the metaphorization process in terms of schema-concretization framework. Finally, the third part raises the problem of using cognitive metaphor as the primary tool for the conceptualization of the realm of abstract thinking. An additional objective of the text is to display the presence of metaphor in everyday communication processes, conceptualization of common experience and thus also in the scientific and educational practice.