In the student, that is, his ability to go beyond the level of sensibleĮxperience which keeps us within the "visible" realm, that of Only a prerequisite meant to test and develop the power of abstraction We should only keep in mind that, for Plato, geometry,Īs well as all other mathematical sciences, is not an end in itself, but Of the Republic, and especially about geometry at Republic, Says about the sciences fit for the formation of philosophers in book VII
No way out of character, as can be seen by reading or rereading what Plato Of this tradition, there remains that, in its spirit, it is in If the late character of our sources may incite us to doubt the autheticity Of the Academy, where he learned, taught and lived for about 20 years. Never mentions, at least in his extant works, this inscription at the doorstep In his writings, for instance in the Posterior Analytics, I, xii,ħ7b8-34, where the word is used 5 times within a few lines, but he himself The first two references come from commentaries on works by Aristotle,Īnd it is a fact that the word ageômetrètos appears It is quoted under the complete form shown in note 1. 118, 18) and also by Joannes Tzetzes, byzantineĪuthor from the early XIIth century A. who lived after PhiloponusĪnd was a Christian too, in his commentary of Aristotle's Analytics Philospher from Alexandria of the VIth century A. 117, 29) by Elias, another late neoplatonic On works by Aristotle are still extant, in his commentary on Aristotle'sĭe Anima ( in De An., Comm. Who lived in Alexandria in the VIth century A. Mentionned by Joannes Philoponus, a late neoplatonic Christian philosopher Quite late sources, dating from more than 10 centuries after Plato: it is
We should first notice that this tradition is known to us only through Was engraved at the door of Plato's Academy, the school he had founded inĪthens. Plato FAQ: "Let no one ignorant of geometry enter" © 2004 BernardĬhronologies - Maps of Ancient Greek World.
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