Mathematics, Mental Imagery, and Ontology: A New Interpretation of the Divided Line

International Journal of the Platonic Tradition 12 (2):111-131 (2018)
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Abstract

This paper presents a new interpretation of the objects of dianoia in Plato’s divided line, contending that they are mental images of the Forms hypothesized by the dianoetic reasoner. The paper is divided into two parts. A survey of the contemporary debate over the identity of the objects of dianoia yields three criteria a successful interpretation should meet. Then, it is argued that the mental images interpretation, in addition to proving consistent with key passages in the middle books of the Republic, better meets those criteria than do any of the three main positions.

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2018-08-25

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Miriam Byrd
University of Texas at Arlington

References found in this work

Plato's theory of ideas.William David Ross - 1951 - Westport, Conn.: Greenwood Press.
The Cambridge Companion to Plato’s R Epublic.G. R. F. Ferrari (ed.) - 2007 - New York: Cambridge University Press.
Plato on Why Mathematics is Good for the Soul.Myles Burnyeat - 1996 - In British Academy, 1995 Lectures and Memoirs. Oxford University Press USA. pp. 1-81.
Plato Republic.James Plato, D. A. Adam & Rees - 1993 - London: Methuen. Edited by Floyer Sydenham, Thomas Taylor, W. H. D. Rouse & Ernest Barker.

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