At Sophist 253d-e the Eleatic Visitor offers a notoriously obscure description of the fields of one-and-many that the dialectician “adequately discerns.” Against the readings of Stenzel, Cornford, Sayre, and Gomez-Lobo, I propose an interpretation of that passage that takes into account the trilogy of Theaetetus-Sophist-Statesman as its context. The key steps are to respond to the irony of Socrates’ refutations at the end of the Theaetetus by reinterpreting the last two senses of logos as directed to forms and to recognize (...) their correlation with the two different modes of diairesis practiced by the Eleatic Visitor. These steps position us to recognize in the Visitor’s remarks at Sophist 253d-e a schematic description of the two kinds of eidetic field that the two modes of diairesis trace. (shrink)

At 435c-d and 504b ff., Socrates indicates that there is a "longer and fuller way" that one must take in order to get "the best possible view" of the soul and its virtues. But Plato does not have him take this "longer way." Instead Socrates restricts himself to an indirect indication of its goals by his images of sun, line, and cave and to a programmatic outline of its first phase, the five mathematical studies. Doesn't this pointed restraint function as (...) a provocation, moving us to want to begin the "longer way" and to make use of its conceptual resources to rethink Socrates' images? I begin by finding a double movement in the complex trajectory of the five studies: they both guide the soul in the "turn away from what is coming to be ... [to] what is" (518c) and, at the same time, lead the soul back, albeit in the medium of pure intelligibility, to the sensible world; for the pure figures and ratios that they disclose constitute the core structures of sensible things. I then draw on what Socrates says about geometry and harmonics to address three fundamental questions that he leaves open: the nature of the Good in its responsibility for truth and for the being of the forms; the relations of forms, mathematicals, and sensibles as these are disclosed by dialectic; and the bearing of the philosopher's discovery of the Good on his disposition towards his community and the task of ruling. I close by marking six sets of further questions that these reflections bequeath for dialogues to come. (shrink)