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  1. Definition and Inquiry in Archytas.Andrew Payne - 2021 - Ancient Philosophy Today 3 (1):98-119.
    In Archytas of Tarentum, Carl Huffman reconstructs Archytas’ theory of definition by linking definitions to the mathematical study of ratios and proportions. This paper considers whether and how Archytas used definitions and whether he possessed a theory of definition. Our evidence does not support the claim that Archytas has a theory of definition, and his approach to the science of harmonics suggests that he relied on analogies and proportions in the practice of inquiry. We understand sounds and other entities by (...)
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  • Plato on Natural Kinds: The Promethean Method of the Philebus.John D. Proios - 2022 - Apeiron 55 (2):305-327.
    Plato’s invention of the metaphor of carving the world by the joints gives him a privileged place in the history of natural kind theory in philosophy and science; he is often understood to present a paradigmatic but antiquated view of natural kinds as possessing eternal, immutable, necessary essences. Yet, I highlight that, as a point of distinction from contemporary views about natural kinds, Plato subscribes to an intelligent-design, teleological framework, in which the natural world is the product of craft and, (...)
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  • The Method of Bifurcatory Division in Plato’s Sophist.Colin C. Smith - 2021 - Elenchos: Rivista di Studi Sul Pensiero Antico 42 (2):229-260.
    The strange and challenging stretch of dialectic with which Plato’s Sophist begins and ends has confused and frustrated readers for generations, and despite receiving a fair amount of attention, there is no consensus regarding even basic issues concerning this method. Here I offer a new account of bifurcatory division as neither joke nor naïve method, but instead a valuable, propaedeutic method that Plato offers to us readers as a means of embarking upon the kind of mental gymnastics that will stretch (...)
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