13 - Another Goodbye to the Third Man

Summary

The chapter asks if the first part of the Parmenides (including the “Third Man”) shows that Plato abandoned Platonic forms, and argues instead that Plato’s “Third Man” passage is not an indirect proof of anything: it simply shows the youthful Socrates not able to defend his views on forms. The exercise Parmenides then prescribes and demonstrates is the way forward Plato provided. It leads us to distinguish two kinds of predication, corresponding to two kinds of facts about forms. Better-organized thinking about forms lets us reject the notion that to perform their work in Plato’s theory, they must be perfect exemplars along the lines of “the Platonic ideal of the banana split.” This dispels the underlying problem which led to confusion over the “Third Man.” We can face down analogues of that argument for any form, from the Fox and Triangularity to Likeness and the Beautiful. This interpretation emerges from detailed construal of the text, taking account of both its literary and overtly philosophical aspects; the chapter brings together background for Plato’s agenda in his previous works, in the works of Anaxagoras and the historical Parmenides, and in Greek usage.