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When Aristotle deals with specific kinds of motion, he surprisingly asserts that there is no movement according to a relation. This assertion is, on the one hand, well justifiable, but, on the other hand, it is at variance with the naturalistic spirit of peripatetic philosophy. In this paper I would like to propose a solution to this dilemma. Such an achievement, however, has an implication which may be difficult to accept: viz. the necessity to quite radically transform the traditional categorial scheme.