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)

Corrective intervention in Plato's metaphysics replacing the standard view of Plato as a metaphysical dualist with a novel and revolutionary paradigm of unitary pluralism in a single reality built on ontological diversity.

Contrary to the claims of owen, frede, and many other platonic scholars, there is a straight forward way to explicate plato's "sophist" as having 'heteron' first be understood as "non-identical" and after 257b or so be understood as "incompatible." this should encourage scholars who prefer the "incompatibility" reading but don't see how to get the required change of meaning.

This study places Nāgārjuna and Plato in dialogue regarding how both seek to orient philosophy in the face of indeterminacy observed at the elemental level of existence, specifically, the indeterminacy of fire’s light. Looking to the elemental within Chōra and Śūnyatā, a directive becomes discernible for calibrating philosophy to this indeterminacy, and crucial limitations are disclosed, which expand philosophy by enabling a productive relation to the non-philosophical. What emerges are directives for language, which serve to modify philosophy’s violence towards the (...) world by striking a middle way between the binaries of reification and nihilism, speech and silence. (shrink)

This paper undertakes an in-depth examination of the intriguing argument for the existential import of negative propositions by the fifteenth-century Ottoman scholar Hatibzâde Mehmed (d. 1496) and the counterarguments by his disciple, Taşköprizâde Kâsım (d. 1513). It argues that this discussion is a significant example of Ottoman scholars engaging in long-standing disputes concerning the nature and ontological ground of negative propositions, which date back to Plato and Aristotle. It is also intended to underline the need for considering not only logic (...) texts but also works primarily associated with other disciplines in order to attain a comprehensive picture of logical discussions in the post-classical period of Islamic thought. (shrink)

Since the publication of The verb “be” in Ancient Greek by Charles Kahn, people have put a lot of emphasis and invested too much labor in all kinds of historico-philological analyses in order to resolve philosophical questions regarding the concept of existence in Greek thought. Useful as these analyses might be, they cannot provide us with conclusive answers to the specific philosophical questions under scrutiny, and, perhaps, it is time for us to abandon the overwhelming optimist motivating the pioneers behind (...) these attempts. I use the Sophist as a case study. I conclude that whether the Form of Being represents existence or predication cannot be settled on speculation regarding the syntax of the verb εἶναι; absolute εἶναι need not be existential in meaning, and complemented εἶναι may be existential in meaning. (shrink)