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The anatomy of Plato's divisions

In Edward N. Lee, Alexander P. D. Mourelatos & Richard Rorty (eds.), Exegesis and Argument. Studies in Greek Philosophy presented to Gregory Vlastos. Phronesis Suppl Vol. Assen: Van Gorcum. pp. 324-348 (1973)

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  1. On what ontology is and not-is.Karin Verelst - 2008 - Foundations of Science 13 (3):347-370.
    In this paper I investigate the relation between physics and metaphysics in Plato’s participation theory. I show that the logic shoring up Plato’s metaphysics in paraconsistent, as had been suggested already by Graham Priest. The transformation of the paradoxical One-and-Many of the pre-Socratics into a paraconsistent Great-and-Small bridges the abyss between archaic rationality and the world of classical logic based ultimately on the principle of contradiction. Indeed, language is an organ of perception, not simply a means of communication. J. Jaynes, (...)
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  • Division, Syllogistic, and Science in Prior Analytics I.31.Justin Vlasits - forthcoming - Ergo: An Open Access Journal of Philosophy.
    In the first book of the Prior Analytics, Aristotle sets out, for the first time in Greek philosophy, a logical system. It consists of a deductive system (I.4-22), meta-logical results (I.23-26), and a method for finding and giving deductions (I.27-29) that can apply in “any art or science whatsoever” (I.30). After this, Aristotle compares this method with Plato’s method of division, a procedure designed to find essences of natural kinds through systematic classification. This critical comparison in APr I.31 raises an (...)
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  • Dividing Plato’s Kinds.Fernando Muniz & George Rudebusch - 2018 - Phronesis 63 (4):392-407.
    A dilemma has stymied interpretations of the Stranger’s method of dividing kinds into subkinds in Plato’sSophistandStatesman. The dilemma assumes that the kinds are either extensions or intensions. Now kinds divide like extensions, not intensions. But extensions cannot explain the distinct identities of kinds that possess the very same members. We propose understanding a kind as like an animal body—the Stranger’s simile for division—possessing both an extension and an intension. We find textual support in the Stranger’s paradigmatic four steps for collecting (...)
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  • Commentary on Osborne.Susan B. Levin - 1999 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 15 (1):282-293.
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