The chapter offers a reading of Socrates’ fourfold classification, at Philebus 23c-27c of “all the things now in the universe” into what is without limit (the apeiron), limit (peras), mixtures of these two (the meikton) and the cause of said mixtures (aitia). Contrary to the classification’s more typical treatment as a general window onto Plato’s late ontology and whatever may be its broader horizons, this classification is argued to be tailored to the project of the dialogue, directed to an analysis of the metaphysics of craft objects. In developing and explaining the classification, Socrates puts in place material for an analogy drawn from the craft of medicine to the effect that as medicine stands to health so stands some as yet unidentified craft to the good condition of soul that is the dialogue’s central focus, responsible for the happy human life. In thus articulating a framework for the historically influential idea of a craft of human living, Socrates provides a heuristic through which, in the remainder of the dialogue, the life’s character and elements may be systematically explored with a view to the dialogue’s overall contest between pleasure and intelligence.

A diagnosis and discussion of the trope of paternity – biological and dialectical – with which Plato plays in Republic and Philebus.