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Isaac Newton on Mathematical Certainty and Method$
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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

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Analysis and Synthesis

Analysis and Synthesis

Chapter:
(p.309) 14 Analysis and Synthesis
Source:
Isaac Newton on Mathematical Certainty and Method
Author(s):

Niccolò Guicciardini

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262013178.003.0014

This chapter examines the geometrical works that Newton made in the 1690. It focuses on the “Geometriae Libri Duo” and on the pronouncements on the mathematical methods in natural philosophy that he wrote in the first Latin edition of the Opticks. Newton wrote about the dual method of analysis and synthesis, which compared the ancient and modern approach in mathematics, and about the ancients’ geometry superiority over the moderns’ algebra.

Keywords:   Newton, geometry, algebra, Opticks, Geometriae Libri Duo

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