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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:

Brisson, Luc. Le Même et l'Autre dans la Structure Ontologique du Timée de Platon. Quatriéme édition.

De Brasi, Diego. L'immagine di Sparta nei dialoghi platonici.

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

José Antonio Giménez Salinas. Theorie und Praxis bei Platon.

The Painter of Constitutions. Edited by Mario Vegetti, Franco Ferrari and Tosca Lynch.

Plato in Symposium. Edited by Mauro Tulli and Michael Erler.

Understanding the 'Phaedrus'. Second edition. Edited by Livio Rossetti.

Zafiropoulos, Christos A. Socrates and Aesop.

Andere Neuerscheinungen/Other new books:

By the sophists to Aristotle through Plato. Edited by Elisabetta Cattanei, Arianna Fermani, Maurizio Migliori.

For a Skeptical Peripatetic. Edited by Yosef Liebersohn, Ivor Ludlam and Amos Edelheit.

The Harmony of Conflict. Edited by Francisco L. Lisi and Michele Curnis.

Il NOUS di Aristotele. Edited by Fabio Stella, Maria Giovanna Sillitti, Francesco Fronterotta.

Licciardi, Ivan Adriano. Parmenide tràdito, Parmenide tradìto nel Commentario di Simplicio alla Fisica di Aristotele.

Mansfeld, Jaap et al. Melissus between Miletus and Elea.

Meister Eckhart. Kommentar zum Buch der Weisheit. 2. Auflage. Eingeleitet, übersetzt und erläutert von Karl Albert.

Newton, Isaac. Mathematische Grundlagen der Naturphilosophie. 4. Auflage. Übersetzt und herausgegeben von Ed Dellian.

Nous, Polis, Nomos. Edited by A. Havlíček / Ch. Horn / J. Jinek .

Ostenfeld, Erik Nis. Human Wisdom.

Reason and No-reason from Ancient Philosophy to Neurosciences. Edited by R. Loredana Cardullo and Francesco Coniglione.

Robinson, Thomas M. The Other Olympians.