Jump to ContentJump to Main Navigation
Isaac Newton on Mathematical Certainty and Method$
Users without a subscription are not able to see the full content.

Niccolo Guicciardini

Print publication date: 2009

Print ISBN-13: 9780262013178

Published to MIT Press Scholarship Online: August 2013

DOI: 10.7551/mitpress/9780262013178.001.0001

Show Summary Details
Page of

PRINTED FROM MIT PRESS SCHOLARSHIP ONLINE (www.mitpress.universitypressscholarship.com). (c) Copyright The MIT Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in MITSO for personal use.date: 29 July 2021

Against Descartes on Indeterminate Problems

Against Descartes on Indeterminate Problems

Chapter:
(p.79) 5 Against Descartes on Indeterminate Problems
Source:
Isaac Newton on Mathematical Certainty and Method
Author(s):

Niccolò Guicciardini

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262013178.003.0005

This chapter explores Newton’s criticisms of the Cartesian method to indeterminate problems, and states that Newton has formed a strong conviction in rejecting Descartes’ canon for indeterminate problems. Newton believes that the synthesis of indeterminate problems proposed by Descartes in Géométrie proved to be unsatisfactory, and also that the Cartesian analysis was also inferior to the method of analysis used by the ancient scholars of geometry. The chapter goes on to explain that Newton claimed that the ancient methods of geometry are more concise and elegant, and that their analytic method always leads to the synthesis, the construction of a curve, in a straightforward manner.

Keywords:   Newton, Géométrie, Cartesian analysis, geometry

MIT Press 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.