Plato: Charmides

These remarks take up the reflexive problematics of Being and Nothingness and related texts from a metalogical perspective. A mutually illuminating translation is posited between, on the one hand, Sartre’s theory of pure reflection, the linchpin of the works of Sartre’s early period and the site of their greatest difficulties, and, on the other hand, the quasi-formalism of diagonalization, the engine of the classical theorems of Cantor, Gödel, Tarski, Turing, etc. Surprisingly, the dialectic of mathematical logic from its inception through (...) the discovery of the diagonal theorems can be recognized as a particularly clear instance of the drama of reflection according to Sartre, especially in the positing and overcoming of its proper value-ideal, viz. the synthesis of consistency and completeness. Conversely, this translation solves a number of systematic problems about pure reflection’s relations to accessory reflection, phenomenological reflection, pre-reflective self-consciousness, conversion, and value. Negative foundations, the metaphysical position emerging from this translation between existential philosophy and metalogic, concurs by different paths with Badiou’s Being and Event in rejecting both ontotheological foundationalisms and constructivist antifoundationalisms. (shrink)

AtCharmides163, Critias attempts to extricate himself from refutation by proposing a Prodicean distinction betweenpraxisandpoiēsis. I argue that this distinction leads him further into contradictions.

The essays in this collection, though ranging in their keys from the teacherly to the scholarly, are united by their search for the deepest questions Plato gives us. The title essay on the Republic is a paradigm case, exploring with a mix of speculative daring and Socratic pleasure in aporia the ring structure of the dialogue, the emergent perspective of a "knowing soul," dianoetic eikasia, and the implicit presence of the One and the Dyad in the metaphysical figures of the (...) central books. See also, especially, the two essays on the Phaedo's legacy of questions and the Minotaurs that threaten it. (shrink)

It has often been noted that Socratic cross-examination is problematic as a method of inquiry, i.e., as a method for 'acquiring' knowledge. Rarely has it been noticed that there are problems with cross-examination when used for the purposes of 'testing' for knowledge. In the 'Charmides', Socrates commits himself to the following principle: In order to discriminate between the person who knows and the person who does not know the subject matter covered by a particular discipline (technê), one must have mastered (...) that discipline. But if Socrates' disavowals of moral knowledge are sincere, it would seem to follow from this principle that, contrary to what Socrates says in many early dialogues, he cannot successfully test claims to moral expertise through cross-examination. Through an examination of the conditions that Socrates places on knowledge and on mastering a 'technê', I show how this problem can be resolved. (shrink)