In article the project of cognitive history of O. Medushevskaya and A. Medushevsky who is treated by his founders as a new paradigm of historical knowledge is analyzed. The periodizations of historical paradigms, a ratio of ideas of A. Lappo-Danilevsky and E. Husserl's phenomenology, possibility of phenomenological treatment of history, a ratio of cognitive history and related scientific disciplines offered by them are critically considered.
Keywords: cognitive history, global history, historical source study, methodology of history, epistemology, phenomenology, paradigm.