Intercultural philosophy seems to be problematic due to the nature of philosophy and of culture. Each philosophy claims to leave thematically no territory outside of its critical reflection. And culture, according to the author's definition, is the encompassing myth of a collectivity at a certain moment in time and space; in other words, it's the horizon giving us intelligibility.In order to open the possibility of intercultural philosophy, the author introduces the function of mythos, which complements the function of logos. Different philosophies and cultures are mutually incompatible because they are within different myths. But myths are flexible, which offers the inertia possibilities for mutual communication of philosophies and cultures, and also for their own ″demythologizing″ and ″interculturalizing″. Intercultural philosophy thus becomes possible, and, as the midway between monoculturalism and multiculturalism, offers us an appropriate alternative in this world of many cultures.