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A Mathematical Approach to the Plato's Problem

2008/05/29 by Luiz Bevilácqua, Bevilacqua, Luiz, Adilson José Vieira Brandão +3
Mathematics · #History and Theory of Mathematics

paper · pdf · doi:10.48550/arxiv.0805.4596

Abstract

Maybe the first inverse problem presented in the history of the occidental thought is described in the book Republic, written by Plato. The problem is posed in the Book VII in a text known as the Allegory of the Cave. That text motivated us to formulate a simple mathematical model that simulates, in a sense, the situation of the persons described in that problem.

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