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

Mathematics, Mental Imagery, and Ontology: A New Interpretation of the Divided Line AbstractThis 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of the Platonic Tradition Brill

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

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Publisher
Brill
Copyright
Copyright © Koninklijke Brill NV, Leiden, The Netherlands
ISSN
1872-5082
eISSN
1872-5473
DOI
10.1163/18725473-12341411
Publisher site
See Article on Publisher Site

Abstract

AbstractThis 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.

Journal

International Journal of the Platonic TraditionBrill

Published: Jan 1, 1

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