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Equals and Intermediates in Plato

Phronesis 9 (1):27-37 (1964)

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  1. The Last Argument of Plato's Phaedo. I.D. O'Brien - 1967 - Classical Quarterly 17 (02):198-.
    This study offers a new analysis of the last argument of Plato's Phaedo for the immortality of the soul. Interpretations of this argument and especially of the last section have differed considerably. Judgements on its value have usually been adverse. One scholar speaks of the ‘screen of unreal argument’ which concludes the proof, and writes that ‘from the standpoint of logic the argument has petered out into futility’. Another describes the final stage of the proof as ‘a blatant petitio principii’. (...)
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  • Plato’s Phaedo and “the Art of Glaucus”: Transcending the Distortions of Developmentalism.William Henry Furness Altman - 2021 - Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 31.
    In a 1985 article entitled “The Art of Glaukos,” Diskin Clay suggested that the enigmatic passage at the beginning of the geological myth in Phaedoreferred toRepublic10, where the soul is likened to the sea-creature Glaucus whose true nature, like the soul’s, is obscured by the distortions imposed by underwater life. Starting with a defense of Clay’s ingenious suggestion, my purpose is to compare Phaedoto Glaucus, with its true nature obscured by traditional assumptions about the order in which Plato composed his (...)
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  • Μονάς and ψυχή in the Phaedo.Sophia Stone - 2018 - Plato Journal 18:55-69.
    The paper analyzes the final proof with Greek mathematics and the possibility of intermediates in the Phaedo. The final proof in Plato’s Phaedo depends on a claim at 105c6, that μονάς, ‘unit’, generates περιττός ‘odd’ in number. So, ψυχή ‘soul’ generates ζωή ‘life’ in a body, at 105c10-11. Yet commentators disagree how to understand these mathematical terms and their relation to the soul in Plato’s arguments. The Greek mathematicians understood odd numbers in one of two ways: either that which is (...)
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  • Commentary on Kelsey.Raphael Woolf - 2000 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 16 (1):122-133.
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  • A Reconstruction of the Non–Identity Argument at Phaedo 74b–c.Ryan Bitetti Putzer - 2024 - History of Philosophy & Logical Analysis:1-30.
    At Phaedo 74b–c an important argument is given for the non–identity of perceptible equals and equality. The argument is usually understood as an application of Leibniz’s Law in which the predicate appears unequal is affirmed of perceptible equals but not equality. But this reading requires explaining why the plural locution the equals themselves is initially used for equality, and why the additional predicate appears as inequality is denied of it. In this paper, an account of the equality premise is given (...)
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  • Self-Predication and Productive Metonymy.Saul Rosenthal - 2018 - Apeiron 51 (1):1-36.
    What does Plato mean in saying that, for all forms, “F-ness is F”? In such claims, I argue, ‘F’ is being used metonymically to refer to the property of being productive of F-ness rather than to the property of being F, in a way consistent with univocity and the rejection of a genuine Self-Predication Assumption. I explain and defend this productive metonymy reading and show how it can resolve the troubling argument at Phaedo 74b7-c6.
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  • Reconsidering the Essential Nature and Indestructibility of the Soul in the Affinity Argument of the Phaedo .Stephanos Stephanides - 2023 - Rhizomata 11 (1):77-104.
    This paper offers a fresh examination of a salient distinction located at the beginning of the Affinity Argument between the composite (τὸ σύνθετον) and the incomposite (τὸ ἀσύνθετον). I offer reasons for why Plato may have intended for us to assume that the soul is an incomposite unity in its essential nature. I then substantiate this claim by reviving an ancient interpretation to the Affinity Argument according to which the soul is of the same metaphysical kind as the Forms. I (...)
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  • 'Appearing Equal' at Phaedo 74 B 4-C 6: an Epistemic Interpretation.Thomas M. Tuozzo - 2018 - Oxford Studies in Ancient Philosophy 54.
    The argument at Phaedo 74 B 4‐C 6 that the equal itself is ‘something different from’ sets of physical equals depends on Leibniz's Law: there is a property that perceptible equals have that the equal itself does not have. What I call the ‘epistemic interpretation’ holds that the property is an epistemic one: having appeared unequal. The ‘ontological interpretation’ holds that the property is not epistemic, but simply the property of being unequal. The most natural reading of the text favours (...)
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