This paper has two main purposes. First, I recall a relevant methodologicalreservation that concerns our reading of the Homeric poems (is it right to take one of our modern concepts, namely "body", as point of departure for our study of an ancient text?). Second, I try to explain how something like our common body-mind dualism could emerge from what originally was a single reality (in order to grasp the meaning of a Greek word like phrénes the modern reader would have to put his dualistic language aside in some way); nevertheless, it is also true that in the Homeric poems, especially in the Odyssey, phrénes seems to be one of the names for that peculiar space we would nowadays call "the innerness of the mind or thought". Finally, I suggest ...