ABSTRACTThis article aims at understanding the functions of the forms of Being and the Other in Plato's Sophist. In contrast with a linguistic interpretation purporting to draw a distinction between uses of the verb “to be,” I shed light on the ontological role ascribed to “the great genus” in the interweaving of forms. Focusing on the vowel analogy, I argue that the roles of Being and the Other respectively are that of a connector and a separator actualizing the participations and (...) the differences between the forms. The outcome of this analysis is to offer an explanation of the dialectical methods described in that dialogue in a rather obscure, abstract way; the much-debated question of self-predication can be settled without recourse to selfparticipation. (shrink)

In this paper i offer a detailed analysis of the dilemma of participation (parmenides, 130e-131e), in which plato considers the consequences of participation in the whole, and in a part of, a form. This analysis explains, in contrast to existing interpretations of the argument, plato's claim that participation in parts of a form is incompatible with the uniqueness of the form, and his modal claim that becoming equal by possessing part of the equal is absurd. In the second part of (...) the paper, i give the premisses and logical steps of the third man argument in the parmenides, and show the premisses to be committed to absurdity, even without the assumption that there is a unique form per character f. (shrink)

In (1991), Meinwald initiated a major change of direction in the study of Plato’s Parmenides and the Third Man Argument. On her conception of the Parmenides , Plato’s language systematically distinguishes two types or kinds of predication, namely, predications of the kind ‘x is F pros ta alla’ and ‘x is F pros heauto’. Intuitively speaking, the former is the common, everyday variety of predication, which holds when x is any object (perceptible object or Form) and F is a property (...) which x exemplifies or instantiates in the traditional sense. The latter is a special mode of predication which holds when x is a Form and F is a property which is, in some sense, part of the nature of that Form. Meinwald (1991, p. 75, footnote 18) traces the discovery of this distinction in Plato’s work to Frede (1967), who marks the distinction between pros allo and kath’ hauto predications by placing subscripts on the copula ‘is’. (shrink)

This paper aims to defend the unitarian position of Plato’s thought through an analysis of the Sophist in its relation with other middle and late dialogues. Contrary to those who consider that koinonia is an exclusive philosophical motif of the late period and represents a break with the dialogues of the intermediate period, the text seeks to defend how koinonia in the Sophist is not a rupture but a development and a consummation of Platonic positions sustained since the middle dialogues.

A familiar tradition in Plato scholarship has it that self-predication is one of the most important issues to be settled in an attempt to understand Plato‘s metaphysical views. Perhaps only latent in the initial formulations of the theory of Forms, the problem becomes manifest in the Parmenides, especially in the Third Man Argument where the assumption that a Form can have the property that it is helps to generate a vicious regress destructive of the notion of a single Form over (...) many particulars. (shrink)

A complete philosophy of mathematics must address Paul Benacerraf’s dilemma. The requirements of a general semantics for the truth of mathematical theorems that coheres also with the meaning and truth conditions for non-mathematical sentences, according to Benacerraf, should ideally be coupled with an adequate epistemology for the discovery of mathematical knowledge. Standard approaches to the philosophy of mathematics are criticized against their own merits and against the background of Benacerraf’s dilemma, particularly with respect to the problem of understanding the distinction (...) between pure and applied mathematics and the effectiveness of applied mathematics in the natural sciences and engineering. The evaluation of these alternatives provides the basis for articulating a philosophically advantageous Aristotelian inherence concept of mathematical entities. An inherence account solves Benacerraf’s dilemma by interpreting mathematical entities as nominalizations of structural spatiotemporal properties inhering in existent spatiotemporal entities. (shrink)