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The Internet Journal of the International Plato Society


Abbildung
 

Pritchard, Paul.

Plato's Philosophy of Mathematics. Second edition.

2010. 200 S. 26,80 Euro. 15,5 x 23 cm. 978-3-89665-536-3.
(International Plato Studies Bd. 5)

Inhaltsverzeichnis/Table of content (PDF)

Prospekt (Druckversion/PDF) / Information leaflet (Print version/PDF)


This work is as much a wide-ranging study in the history of mathematics as it is a study of a central but notoriously obscure aspect of Plato's thought. By clarifying the differences between ancient Greek and modern mathematics, and particularly the different notions of number involved, Pritchard shows that our difficulty derives not so much from Plato's philosophy as from the fact that his is a philosophy of a mathematics which is essentially different from our own, both in its aims and in its objects.

The picture of Plato's thinking which emerges turns out to be quite consistent with the mathematics of his time, and shows no sign of any revolutionary mathematical notions.

Pritchard argues that Plato has no notion even of natural number, let alone of irrational numbers, as some have claimed on his behalf. Further, his mathematical philosophy in no way anticipates Fregean notions, as has also been claimed. This book should be of interest not only to students of ancient philosophy and historians of mathematics, but also to philosophers of (modern) mathematics.



See further information for this book on www.platosociety.org


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Andere neue Titel aus dieser Schriftenreihe/Other new books from this series:
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32 · The Painter of Constitutions. Edited by Mario Vegetti, Franco Ferrari and Tosca Lynch.

31 · Dialogues on Plato's Politeia (Republic). Edited by Noburu Notomi and Luc Brisson.

30 · Regali, Mario. Il poeta e il demiurgo.

29 · Balansard, Anne. Enquête sur la doxographie platonicienne dans la première partie du Théétète.

28 · Mouroutsou, Georgia. Die Metapher der Mischung in den platonischen Dialogen Sophistes und Philebos.

27 · Kim, Alan. Plato in Germany: Kant – Natorp – Heidegger.

26 · Plato's Philebus. Edited by John Dillon and Luc Brisson.

21 · Eidos-Idea, 2. Edition. Edited by Francesco Fronterotta and Walter Leszl.