A Combination of Geometry Theorem P - E-book

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A Combination Of Geometry Theorem Proving And Nonstandard Analysis With Application To Newton?s Principia - ENG

Jacques Fleuriot

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Sinopsis

ISBN:	9780857293299
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Geometría general
Año de publicación:	2012-09-30

Sir Isaac Newtons 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 Newtons 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.

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