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The Unity Of Mathematics In Platos Republic Theokritos Kouremenos

  • SKU: BELL-50582028
The Unity Of Mathematics In Platos Republic Theokritos Kouremenos
$ 31.00 $ 45.00 (-31%)

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The Unity Of Mathematics In Platos Republic Theokritos Kouremenos instant download after payment.

Publisher: Franz Steiner Verlag Wiesbaden GmbH
File Extension: PDF
File size: 7.1 MB
Pages: 141
Author: Theokritos Kouremenos
ISBN: 9783515110761, 3515110763
Language: English
Year: 2015

Product desciption

The Unity Of Mathematics In Platos Republic Theokritos Kouremenos by Theokritos Kouremenos 9783515110761, 3515110763 instant download after payment.

In his Republic Plato considers grasping the unity of mathematics as the ultimate goal of the mathematical studies in which the future philosopher-rulers must engage before they turn to philosophy. How the unity of mathematics is supposed to be understood is not explained, however. This book argues that Plato conceives of the unity of mathematics in terms of the mutually benefiting links between its branches, just as he conceives of the unity of the state outlined in the Republic in terms of the common benefit for all citizens. Evidence for this view is provided by a discussion of his conception of astronomy as a propedeutic to philosophy, which can be best understood as hinting at a historically possible link between fourth-century-BC astronomy and solid geometry. The monograph also includes a detailed discussion of two well-known stories about Plato: not only he motivated Greek mathematicians to solve a difficult problem in solid geometry with his interpretation of a Delphic oracle given to the inhabitants of the island of Delos but he also posed the question which led to the development of the astronomical theory of homocentric spheres. It is argued that these stories are best understood as fictional episodes in Plato's life, constructed from passages in his works.

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