A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton’s Principia

Fleuriot, Jacques

Sir Isaac Newton's philosophi Naturalis Principia Mathematica'(the Principia) contains a prose-style mixture of geometric and limit reasoning that has often been viewed as logically vague.
In A Combination of Geometry Theorem Proving and Nonstandard Analysis, Jacques Fleuriot presents a formalization of Lemmas and Propositions from the Principia using a combination of methods from geometry and nonstandard analysis. The mechanization of the procedures, which respects much of Newton's original reasoning, is developed within the theorem prover Isabelle. The application of this framework to the mechanization of elementary real analysis using nonstandard techniques is also discussed.

Details

Published by: Springer

Publication Date: 2012-09-13

Format: Paperback

ISBN-10: 9781447110415

ISBN-13: 9781447110415

DOI: 10.1007/978-0-85729-329-9

Dimensions: 235cm x155cm

Pages: 140