What does Plato mean in saying that, for all forms, “F-ness is F”? In such claims, I argue, ‘F’ is being used metonymically to refer to the property of being productive of F-ness rather than to the property of being F, in a way consistent with univocity and the rejection of a genuine Self-Predication Assumption. I explain and defend this productive metonymy reading and show how it can resolve the troubling argument at Phaedo 74b7-c6.

This study offers a new analysis of the last argument of Plato's Phaedo for the immortality of the soul. Interpretations of this argument and especially of the last section have differed considerably. Judgements on its value have usually been adverse. One scholar speaks of the ‘screen of unreal argument’ which concludes the proof, and writes that ‘from the standpoint of logic the argument has petered out into futility’. Another describes the final stage of the proof as ‘a blatant petitio principii’. (...) A third remarks that the conclusion follows ‘if we do not look too closely’. (shrink)