Jump to ContentJump to Main Navigation
Pursuing the GoodEthics and Metaphysics in Plato's Republic$
Users without a subscription are not able to see the full content.

Douglas Cairns and Fritz-Gregor Herrmann

Print publication date: 2007

Print ISBN-13: 9780748628117

Published to Edinburgh Scholarship Online: March 2012

DOI: 10.3366/edinburgh/9780748628117.001.0001

Show Summary Details

The Good and Mathematics

The Good and Mathematics

Chapter:
(p.251) 12 The Good and Mathematics
Source:
Pursuing the Good
Author(s):

Christopher Gill

Publisher:
Edinburgh University Press
DOI:10.3366/edinburgh/9780748628117.003.0013

This chapter considers the key features of Burnyeat's version of the maximal view of the significance of mathematics for the Platonic idea of good. It identifies certain dangers to which this kind of view is potentially subject (‘Scylla’ and ‘Charybdis’), and outlines two alternative ways of understanding the relationship between ethical and mathematical ideas. The first line of thought explored is that there is a structural analogy between mathematical or metamathematical ideas and ethical ones, by contrast with Burnyeat's claim that the good is ‘one and the same’ in both areas. The second line of thought explored is that the good is conceived as a transcategorical norm or principle. The content of this norm, as in the maximal view represented here by Burnyeat, is the idea of unity or order.

Keywords:   Burnyeat, maximal view, Plato, Scylla, Charybdis, ethical ideas, mathematical ideas, unity, order

Edinburgh Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs, and if you can't find the answer there, please contact us.