Mathematische Modellierung bei Platon zwischen Thales und Euklid

Claas Lattmann

Published by De Gruyter 2019

Mathematische Modellierung bei Platon zwischen Thales und Euklid

Plato's Mathematical Modeling between Thales and Euclid

Claas Lattmann

Volume 9 in the series Science, Technology, and Medicine in Ancient Cultures

https://doi.org/10.1515/9783110616491

Overview
Contents

About this book

Mathematics is among the most important cultural achievements of ancient Greece. Precisely when and where did it originate? The ancient view that Plato, along with Thales and Euclid, played an important part in its development has long been dismissed as fiction. This book takes a new look based on modeling theory and comes to a contrary conclusion: Plato is, in fact, the creator of deductive mathematics.

Author / Editor information

Claas Lattmann, Christian-Albrechts-Universität zu Kiel.

Topics

Frontmatter Publicly Available Download PDF	I
Vorwort Publicly Available Download PDF	V
Inhalt Publicly Available Download PDF	VII
1. Einleitung Requires Authentication Unlicensed Licensed Download PDF	1
2. Original und Abbild: Eine modelltheoretische Perspektive Requires Authentication Unlicensed Licensed Download PDF	45
3. Mathematische Diagramme und die Praxis der Modellierung Requires Authentication Unlicensed Licensed Download PDF	69
4. Verdoppeln und Verdoppeln: Das mathematische Quadrat im Menon Requires Authentication Unlicensed Licensed Download PDF	117
5. Verdoppeln ohne Verdoppeln: Platon und das Delische Problem Requires Authentication Unlicensed Licensed Download PDF	177
6. Die Welt als Linie: Mathematische Modellierung im Liniengleichnis der Politeia Requires Authentication Unlicensed Licensed Download PDF	271
7. Die Welt als Linien: Mathematische Modelle im Timaios Requires Authentication Unlicensed Licensed Download PDF	367
8. Ergebnisse Requires Authentication Unlicensed Licensed Download PDF	417
Literaturverzeichnis Requires Authentication Unlicensed Licensed Download PDF	433
Indizes Requires Authentication Unlicensed Licensed Download PDF	465

(Deutsch)

Language: German
Publisher: De Gruyter
Audience: Wissenschaftler der Klassischen Philologie, Wissenschaftsgeschichte, Philosophie der Antike und ins. von Platon
Pages
- Front matter: 8
- Main content: 496
Illustrations
- Illustrations: 19
Keywords: Plato; the analogy of the divided line; diagram; ancient mathematics

eBook

Published: March 18, 2019
ISBN: 9783110616491

Hardcover

Published: March 18, 2019
ISBN: 9783110613827