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.’2 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.’3. (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)

I begin this paper with a puzzle: why is Plato’s Parmenides replete with references to Gorgias? While the Eleatic heritage and themes in the dialogue are clear, it is less clear what the point would be of alluding to a well-known sophist. I suggest that the answer has to do with the similarities in the underlying methods employed by both Plato and Gorgias. These similarities, as well as Plato’s recognition of them, suggest that he owes a more significant philosophical and (...) methodological debt to sophists like Gorgias than is often assumed. Further evidence from Plato and Xenophon suggest that Socrates used this very same method, which I call ‘exploring both sides’. I distinguish this Socratic method and its sophistic counterpart in terms of structure, internal aim, and external aim. Doing so allows for a more nuanced understanding of their similarities and differences. It also challenges the outsized role that popular caricatures of philosophical and sophistic method have had on our understanding of their relationship. (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)

Plato's closing reference to the Iliad in the Sophist has been largely overlooked in contemporary scholarship. The reference, a quotation from the confrontation between Glaucus and Diomedes in Book 6, forms part of a broader frame to the dialogue. The frame, with its recurring themes of identification and misidentification, helps us make better sense of the dialogue's final description of the sophist and its central concerns about the relationship between philosophy and sophistry. It also provides a revealing case study of (...) Plato's use of Homer as part of a broader strategy for undermining simple appeals to authority. (shrink)

Sophists were active participants in ancient discussions about being or what-is at the most general level. This chapter discusses the contributions of Gorgias, Protagoras, Xeniades, and Lycophron in the context of the Eleatic philosophers Parmenides, Zeno, and Melissus. All of these figures share a serious commitment to ontological inquiry as well as a concern with the problems that arise when discussing being or what-is. They also share an approach to these problems that is at times paradoxical and self-undermining. -/- The (...) chapter begins with a brief discussion of Parmenides’ poem, a work that serves as an important backdrop for later ontology. It then covers Gorgias’ On Not-Being, a response to the Eleatics and a unique contribution in its own right. Gorgias’ work is then compared with that of Zeno and Melissus. Finally, the more limited evidence we have of Protagoras, Xeniades, and Lycophron’s ontological theorizing is discussed. (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)