A Combination of Geometry Theorem Proving and Nonstandard by Jacques Fleuriot PDF

By Jacques Fleuriot

Sir Isaac Newton's philosophi Naturalis Principia Mathematica'(the Principia) features 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 offers a formalization of Lemmas and Propositions from the Principia utilizing a mixture of equipment from geometry and nonstandard research. The mechanization of the techniques, which respects a lot of Newton's unique reasoning, is constructed in the theorem prover Isabelle. the applying of this framework to the mechanization of undemanding genuine 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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