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  1. Applied Mathematics in the Sciences.Dale Jacquette - 2006 - Croatian Journal of Philosophy 6 (2):237-267.
    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 (...)
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  • How to say goodbye to the third man.Francis Jeffry Pelletier & Edward N. Zalta - 2000 - Noûs 34 (2):165–202.
    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 (...)
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  • Consonnes et voyelles: les fonctions de l'Être et de l'Autre dans le Sophiste de Platon.Fulcran Teisserenc - 2007 - Dialogue 46 (2):231-264.
    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 (...)
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  • The Logic of the Dilemma of Participation and of the Third Man Argument.Theodore Scaltsas - 1989 - Apeiron 22 (4):67 - 90.
    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 (...)
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  • La koinonía en Platón.Antonio Pedro Mesquita - 2018 - Areté. Revista de Filosofía 30 (2):209-224.
    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.
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  • The Theory of Being and the Argument for Forms in Plato’s Sophist.Fiona Leigh - 2024 - Phronesis 69 (4):402-438.
    This paper argues for two claims. First, that in the Sophist a metaphysical theory of being is constructed from the ground up, largely on the basis of a claim treated as an axiomatic principle, the ‘dunamis proposal’ (247d–e), which, I will argue, ought to be understood as Plato’s own definition of being. Second, once its core is in place, the theory is put to use to provide dialectical arguments against proponents of alternative metaphysical theories for the existence of various entities (...)
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  • The Late-Learners of the School of Names: Sph. 251a8-c6: ὁ ἀγαθὸς ἄνθρωπος (the good man) and 白馬 (white horse).Florian Marion - 2024 - In Brisson Luc, Halper Edward & Perry Richard (eds.), Plato’s Sophist. Selected Papers of the Thirteenth Symposium Platonicum. Baden Baden: Verlag Karl Alber. pp. 227-236.
    The focus on this contribution is on the ‘late-learners’ digression. In Sph. 251a8-c6, the Eleatic Stranger briefly discusses the view of some ‘young and old late-learners’ who hold that, from a logico-metaphysical point of view, unlike ‘a man is a man’ or ‘a good is good’, the statement ‘a man is good’ is neither a well-formed nor a grammatical sentence. Usually, modern commentators devote little energy to interpreting this passage since they are content to note that it suffices to discriminate (...)
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  • Two Kinds of Naming In the Sophist.Charlotte Stough - 1990 - Canadian Journal of Philosophy 20 (3):355-381.
    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 (...)
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