Abstract

GUTIERREZ, Raúl. Some considerations about the simile of the line. arete [online]. 2009, vol.21, n.1, pp.123-142. ISSN 1016-913X.

Since the simile of the Line is just an outline, it leaves aside many subjects to be clarified. The author endeavours to throw light on some of them by resorting to other passages of the Republic. In fact, he proposes a correspondence between the reflection about the structure of the soul on the basis of the non-contradiction principle and the section of the Line that belongs to dianoia, and analyzes further the philosopher’s mathematical curriculum in an attempt to specify the nature of the images to which the eikasia is related and the nature of mathematical entities as objects of dianoia.

Keywords : line; eikasia; dianoia; mathematical entities; non-contradiction principle; soul.

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