In Metaphysics Γ 4-6 Aristotle argues that Protagoras is committed not just to denying the PNC, but also to asserting its contrary. In this paper, I offer an analysis of this commitment. I try to show that Aristotle is working with a specific idea in mind: a Protagoreanism ontologically linked to the flux doctrine, as Plato suggested in Theaetetus 152-160.

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)

The present PhD dissertation aims to examine the relation between modality and change in Aristotle’s metaphysics. -/- On the one hand, Aristotle supports his modal realism (i.e., worldly objects have modal properties - potentialities and essences - that ground the ascriptions of possibility and necessity) by arguing that the rejection of modal realism makes change inexplicable, or, worse, banishes it from the realm of reality. On the other hand, the Stagirite analyses processes by means of modal notions (‘change is the (...) actuality of what is virtual insofar as it is virtual’). In other words: to grasp what change is, one has to resort to the modal idiom of potentialities, while the fact that there is change is indicative of the fact that nature is full of modal properties. -/- Aristotle’s modal and kinetic realism finds a negative in the figure of the Megaric Diodorus Kronus. The polemical situation of Greek philosophy has indeed the dialectical advantage of not opposing the Aristotelian position to a sui generis straw man. Both in its reduction of modal judgements to temporal quantifications and in its dissolution of the reality of the state-of-being-in-motion in favour of a cinematographic view of processes, the philosophical figure of reductionist antirealism embodied by Diodorus constitutes an alternative that takes the opposite view of Aristotle’s realism. -/- The present study is structured as a discussion between these two positions. In the face of Diodorus’ antirealist challenges, Aristotle articulates modal and kinetic considerations: the answers he gives to Diodorus’ puzzles thus provide valuable insight into his metaphysics. Moreover, the examination of Aristotle’s and Diodorus’ metaphysics, because of their insight and originality, will not fail to interest the philosopher concerned with the metaphysical foundations of modern physics, insofar as the entanglement between modalities and processes is nowadays at the core of mechanics (phase spaces, path integrals, etc.). (shrink)

In this paper, I provide an interpretation of the symploke ton eidon at Soph. 259e. My goal is to show that the specific metaphysical view expressed by the interweaving of forms best accounts for Plato’s explanation of truth and falsehood. In the first section, I introduce the fundamentals of the interpretation of the greatest kinds and their functions. After that, I propose an interpretation of the assertion at 259e, the upshot of which is that the interweaving of forms only deals (...) with extra-linguistic items, that it is related to both truth and meaning of linguistic items, in a very complex way which I aim to explain throughout the paper, and that it never involves sensible particulars. In the second section, I put forward my reading of the Stranger’s description of how logoi are structured and how they work. I pay particular attention to the view that words reveal being when they intertwine to form a statement. In the third section, I interpret the statements concerning Theaetetus. My goal is to advance a new reading of the specific role that kinds and their interweaving play with regard to the truth and falsehood of the statements concerning Theaetetus. The result is the very specific view that the kinds, which are the separated ontological cause of what happens in space and time, are the grounds of both the truth and the meaning of statements. (shrink)

On the basis of careful textual exegesis and philosophical analysis, and contrary to the received view, Mark R. Wheeler demonstrates that Aristotle presents and systematically explicates his definition of the essence of the truth in the Metaphysics. Aristotle states the nominal definitions of the terms "truth" and "falsehood" as part of his arguments in defense of the logical axioms. These nominal definitions express conceptions of truth and falsehood his philosophical opponents would have recognized and accepted in the context of dialectical (...) argument. On the basis of these nominal definitions, Aristotle develops his definitions of the essences of truth and falsehood--his "real" definitions of truth and falsehood. Aristotle's methodical exposition of his essential definitions of truth and falsehood in the Metaphysics serves as a well-developed example of how his philosophical inquiry starts with nominal definitions and ends with real definitions. Wheeler also argues for the novel claim that Aristotle defines the most fundamental kind of truth in terms of accurate measurement. Aristotle's metrical conception of truth serves as the theoretical basis for specifying the truth conditions of various assertions, for identifying the sorts of beings implicated in these truth conditions, and for explaining the nature of approximate truth and falsehood. Far from offering us a minimal account of truth, Wheeler shows how Aristotle offers us a sophisticated and metrical theory of truth. (shrink)

In this paper I defend a new reading of the final argument of the Gigantomachia passage of Plato’s Sophist (249b5–249c9), according to which it is an argument for a two-kind ontology, based on the distinction between the changing beings and the unchanging beings. This argument, I urge, is addressed not only to Platonists but to all philosophers – with one exception. My reading is based on the claim that this argument does not rely on the view that nous requires unchangeable (...) objects – what I call the traditional reading – but on the view that nous itself is unchanging. The difference between the traditional reading and my reading is that on the former, Plato’s argument relies on a distinctive epistemological assumption, whereas on the latter, Plato’s argument is free from any such commitments. If the argument of this paper is along the right lines, then this implies that this argument has a much more far-reaching scope than critics have usually assumed. It also invites us to reconsider Plato’s approach to the question of being in the Sophist. (shrink)

One of Plato’s central tenets is that we can know forms. In Parmenides 133b4–134b5, Plato presents an argument whose sceptical conclusion is that we can’t know forms. Although he indicates that the argument doesn’t succeed, he also says it’s difficult to explain how it fails. Commentators have suggested a variety of flaws. I argue that the argument can be defended against some, though not all, of the alleged flaws. But I also argue that Plato hints at a crucial distinction that (...) hasn’t been brought to bear in this context, and that indeed he is sometimes thought not to draw: that between the content and object of knowledge. Once we are clear about this distinction, we can see that the sceptical argument doesn’t imply that we can’t know forms. (shrink)

The paper seeks to specify how, according to Plato’s Sophist, true statements achieve their being about objects and their saying that ‘what is about such objects is’. Drawing on the 6th definition of the sophist, I argue for a normative-teleological conception of truth in which the best condition of our soul –in its making statements or having mental states– consists in its seeking to attain the telos of truth. Further, on the basis of Plato’s discussion of original and image, his (...) distinction between correct and incorrect image, and the 7th definition, I argue that achieving the telos of truth involves preserving the original’s proportions and appropriate features. The view that Plato’s conception of truth takes statements or mental states to be certain types of image is not ground-breaking. The important contribution of my argument is that it offers a plausible way to understand two recalcitrant claims made by Plato: first, that falsity obtains not only in the region of incorrect images (appearances) but also within correct images (likenesses); second, that some incorrect images are based on knowledge and so could be true. (shrink)