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Plato's Divided Line

Review of Metaphysics 17 (3):425 - 435 (1964)

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  1. Dianoia & Plato’s Divided Line.Damien Storey - 2022 - Phronesis 67 (3):253-308.
    This paper takes a detailed look at the Republic’s Divided Line analogy and considers how we should respond to its most contentious implication: that pistis and dianoia have the same degree of ‘clarity’ (σαφήνεια). It argues that we must take this implication at face value and that doing so allows us to better understand both the analogy and the nature of dianoia.
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  • The intermediate character of mathematics and the ontological structure of its elements by Plato and Aristotle.Gilfranco Lucena dos Santos - 2017 - Archai: Revista de Estudos Sobre as Origens Do Pensamento Ocidental 19:129-166.
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  • The Problem is not Mathematics, but Mathematicians: Plato and the Mathematicians Again.H. H. Benson - 2012 - Philosophia Mathematica 20 (2):170-199.
    I argue against a formidable interpretation of Plato’s Divided Line image according to which dianoetic correctly applies the same method as dialectic. The difference between the dianoetic and dialectic sections of the Line is not methodological, but ontological. I maintain that while this interpretation correctly identifies the mathematical method with dialectic, ( i.e. , the method of philosophy), it incorrectly identifies the mathematical method with dianoetic. Rather, Plato takes dianoetic to be a misapplication of the mathematical method by a subset (...)
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