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Here I interpret a central passage in Plato's Sophist by focusing on understudied elements that provide insight into the fit of the dialogue's parts and the Sophist-Statesman diptych as a whole. I argue that the Eleatic Stranger's account of what the dialectician "adequately views" at Sophist 253d1-e3 involves both division and the communion of ontological kinds, not just one or the other as has been typically argued. I also consider other key passages and the turn throughout the dialogue from imagistic (...) |
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In Plato’sStatesman, the Eleatic Stranger leads Socrates the Younger and their audience through an analysis of the statesman in the service of the interlocutors’ becoming “more capable in dialectic regarding all things” (285d7). In this way, the dialectical exercise in the text is both intrinsically and instrumentally valuable, as it yields a philosophically rigorous account of statesmanship and exhibits a method of dialectical inquiry. After the series of bifurcatory divisions in theSophistand earlyStatesman, the Stranger changes to a non-bifurcatory method of (...) |
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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. |
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We examine the discussion about the definition of knowledge as true judgment accompanied by logos in Theaetetus 201c-210c, in order to ascertain which of the recent alternative interpretations is more consistent with the text. To accomplish this, we intend to analyze the text and explore in detail the secondary literature about it. |
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Há muita discussão sobre como interpretar o papel do argumento ‘Saber ou não Saber’ em Teeteto 188a-c. Alguns intérpretes supõem que esse papel é dialético e Platão não está comprometido com sua verdade. Outros pensam que o argumento revela a confusão de Platão sobre o tema da opinião falsa à época do Teeteto. Em minha análise, há uma terceira via que faz mais justiça ao que Platão está desenvolvendo em 188a-c. Penso que em 188a-c temos uma versão do princípio platônico (...) |
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This paper argues that the hypothesis proposed in the Meno is the proposition ‘virtue is good’ alone, and that its epistemic nature is essentially insecure. It has been an object of huge scholarly debate which other hypothesis Socrates posited with regard to the relationship between virtue and knowledge. This debate is, however, misleading in the sense of making us believe that the hypothesis that virtue is good is regarded as a truism in the light of the process of positing a (...) |
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I argue that, in the Prior Analytics, higher and above the well-known ‘reduction through impossibility’ of figures, Aristotle is resorting to a general procedure of demonstrating through impossibility in various contexts. This is shown from the analysis of the role of adunaton in conversions of premises and other demonstrations where modal or truth-value consistency is indirectly shown to be valid through impossibility. Following the meaning of impossible as ‘non-existent’, the system is also completed by rejecting any invalid combinations of terms (...) |
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Today it would be considered "bad Platonic metaphysics" to think that among all the concrete instances of a property there could be a universal instance so that all instances had the property by virtue of participating in that concrete universal. Yet there is a mathematical theory, category theory, dating from the mid-20th century that shows how to precisely model concrete universals within the "Platonic Heaven" of mathematics. This paper, written for the philosophical logician, develops this category-theoretic treatment of concrete universals (...) |
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Any comprehensive interpretation of the "Theaetetus" has to provide answers to, among others, two very general questions concerning that dialogue: "What is Plato's relation to the problems faced in the "Theaetetus"?" and "What is the significance of the absence of the Forms from the discussion of the "Theaetetus", given their undoubted relevance to the topic of the dialogue, i.e. knowledge?" Predominantly, the answer given to the first question in the literature has been that the problems are those that Plato is (...) |
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At Sophist 253d-e the Eleatic Visitor offers a notoriously obscure description of the fields of one-and-many that the dialectician “adequately discerns.” Against the readings of Stenzel, Cornford, Sayre, and Gomez-Lobo, I propose an interpretation of that passage that takes into account the trilogy of Theaetetus-Sophist-Statesman as its context. The key steps are to respond to the irony of Socrates’ refutations at the end of the Theaetetus by reinterpreting the last two senses of logos as directed to forms and to recognize (...) |
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Dramatic changes or revolutions in a field of science are often made by outsiders or 'trespassers,' who are not limited by the established, 'expert' approaches. Each essay in this diverse collection shows the fruits of intellectual trespassing and poaching among fields such as economics, Kantian ethics, Platonic philosophy, category theory, double-entry accounting, arbitrage, algebraic logic, series-parallel duality, and financial arithmetic. |
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The argument in Plato's Philebus presents three successive formulations of the hedonist principle. Commentators often take Socrates' argument in the dialogue to be dealing solely with the third formulation, which states that pleasure, rather than intelligence, is closer in nature to the good. I argue that, nonetheless, in the dialogue Socrates remained concerned to provide a direct refutation of the first formulation, that is, of the straightforward claim that pleasure is the good for all living beings. ;Chapter One ascribes to (...) |
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En este trabajo intento mostrar que la función de la doctrina heraclítea en el Teeteto es argumentar a favor de la equivalencia entre la tesis de Protágoras y la definición de Teeteto “la percepción es conocimiento”, y que de esta manera la doctrina apoya la relatividad del conocimiento. Esta lectura va en contra de quienes sostienen que Platón introduce la doctrina porque la cree correcta acerca de lo sensible, y va un paso más allá de la interpretación que afirma que (...) |
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This paper argues for a possible-worlds interpretation of the arguments marshalled by Socrates against Protagoras in Plato’s Theaetetus. Specifically, it reads Protagoras’ position as implying a limited form of modal realism, and evaluates both the self-refutation sequence at 170a–71d and the Future Argument at 177c–9c on the basis of this reading. It emerges that Socrates’ project is only partly successful: while the three main arguments of the self-refutation sequence force Protagoras into ever more awkward and metaphysically top-heavy positions, and the (...) |
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