Download e-book for kindle: A Combination of Geometry Theorem Proving and Nonstandard by Jacques Fleuriot

By Jacques Fleuriot

ISBN-10: 1447110412

ISBN-13: 9781447110415

ISBN-10: 1852334665

ISBN-13: 9781852334666

Sir Isaac Newton's philosophi Naturalis Principia Mathematica'(the Principia) encompasses a prose-style mix of geometric and restrict reasoning that has usually been considered as logically vague.
In A mix of Geometry Theorem Proving and Nonstandard Analysis, Jacques Fleuriot provides a formalization of Lemmas and Propositions from the Principia utilizing a mixture of equipment from geometry and nonstandard research. The mechanization of the tactics, which respects a lot of Newton's unique reasoning, is built in the theorem prover Isabelle. the appliance of this framework to the mechanization of basic actual research utilizing nonstandard recommendations can also be discussed.

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A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton’s Principia (Distinguished Dissertations) by Jacques Fleuriot


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