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) incorporates a prose-style mix of geometric and restrict reasoning that has frequently been considered as logically vague.
In A mixture of Geometry Theorem Proving and Nonstandard Analysis, Jacques Fleuriot provides a formalization of Lemmas and Propositions from the Principia utilizing a mixture of tools from geometry and nonstandard research. The mechanization of the systems, which respects a lot of Newton's unique reasoning, is constructed in the theorem prover Isabelle. the appliance of this framework to the mechanization of straight forward genuine research utilizing nonstandard thoughts is additionally 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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