A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia (Hardcover) (ISBN-13: 9781852334666)

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.

Author: Jacques Fleuriot
ISBN-10: 1852334665
ISBN-13: 9781852334666
Publisher: Springer
Language: English
Published: 06/08/2001
Pages: 140
Format: Hardcover
Weight: 0.85lbs
Size: 9.32h x 6.08w x 0.64d