  Many commentators think that the fundamental inconsistency revealed by the Third Man argument rests with the combination of One-over-Many, Self-Predication, and Non-Identity. For them, the Third Man requires that Plato give up at least one of these principles. But on the interpretation that best explains the set-up and final sentence of the passage, Plato need not give up any of these principles in order to avoid inconsistency: he can simply abandon Purity-F (and perhaps also Uniqueness).