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

Springer London,
Buch
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Kurzbeschreibung

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
Schlagworte

Titel: A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton’s Principia
Autoren/Herausgeber: Jacques Fleuriot
Aus der Reihe: Distinguished Dissertations
Ausgabe: Softcover reprint of the original 1st ed. 2001

ISBN/EAN: 9781447110415

Seitenzahl: 140
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 254 g
Sprache: Englisch

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