Get A Combination of Geometry Theorem Proving and Nonstandard PDF

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 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 tools from geometry and nonstandard research. The mechanization of the systems, 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 user-friendly actual research utilizing nonstandard recommendations can 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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