At a crucial juncture in Plato’s Sophist, when the interlocutors have reached their deepest confusion about being and not-being, the Eleatic Visitor proclaims that there is yet hope. Insofar as they clarify one, he maintains, they will equally clarify the other. But what justifies the Visitor’s seemingly oracular prediction? A new interpretation explains how the Visitor’s hope is in fact warranted by the peculiar aporia they find themselves in. The passage describes a broader pattern of ‘exploring both sides’ that lends (...) insight into Plato’s aporetic method. (shrink)

how does one inquire into the truth of first principles? Where does one begin when deciding where to begin? Aristotle recognizes a series of difficulties when it comes to understanding the starting points of a scientific or philosophical system, and contemporary scholars have encountered their own difficulties in understanding his response. I will argue that Aristotle was aware of a Platonic solution that can help us uncover his own attitude toward the problem.Aristotle's central problem with first principles arises from the (...) fact that they cannot be demonstrated in the same way as other propositions. Since demonstrations proceed from prior and better-known principles, if the principles themselves were in need of... (shrink)

Gorgias’ On Not-Being survives only in two divergent summaries. Diels–Kranz's classic edition prints the better-preserved version that appears in Sextus’ Aduersus Mathematicos. Yet, in recent years there has been rising interest in a second summary that survives as part of the anonymous De Melisso, Xenophane, Gorgia. The text of MXG is more difficult; it contains substantial lacunae that often make it much harder to make grammatical let alone philosophical sense of. As Alexander Mourelatos reports, one manuscript has a scribal note (...) that reads: "The original contains many errors; no one should blame me; I just copy what I see.". The treatise's state of preservation has aptly prompted Michael Gagarin to liken it to a black hole: "something we cannot see directly but know must exist because of certain effects it has on other objects.". (shrink)

Plato’s Parmenides and Lysis have a surprising amount in common from a methodological standpoint. Both systematically employ a method that I call ‘exploring both sides’, a philosophical method for encouraging further inquiry and comprehensively understanding the truth. Both have also been held in suspicion by interpreters for containing what looks uncomfortably similar to sophistic methodology. I argue that the methodological connections across these and other dialogues relieve those suspicions and push back against a standard developmentalist story about Plato’s method. This (...) allows for a better understanding of why exploring both sides is explicitly recommended in the Parmenides and its role within Plato’s broader methodological repertoire. (shrink)

The Parmenides has been unduly overlooked in discussions of hypothesis in Plato. It contains a unique method for testing first principles, a method I call ‘exploring both sides’. The dialogue recommends exploring the consequences of both a hypothesis and its contradictory and thematizes this structure throughout. I challenge the view of Plato’s so-called ‘method of hypothesis’ as an isolated stage in Plato’s development; instead, the evidence of the Parmenides suggests a family of distinct hypothetical methods, each with its own peculiar (...) aim. Exploring both sides is unique both in its structure and in its aim of testing candidate principles. (shrink)

This volume, a lightly-edited version of Professor Samuel Scolnicov’s 1974 Ph.D. thesis, is a fitting tribute to his impressive career. It will perhaps be most useful for those interested in better understanding Scolnicov’s work and his views on Plato as a whole, not least for the comprehensive list of his publications that requires a full twelve pages of print. Scholars with an interest in Plato’s method of hypothesis will also find some useful remarks on key passages in the Meno, Phaedo, (...) and Republic as well as on Greek mathematical analysis.Illuminating other aspects of Scolnicov’s work is clearly part of the intention behind enabling broader access to this study. As Harold Tarrant notes in his introduction... (shrink)