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New PDF release: A Combination of Geometry Theorem Proving and Nonstandard

By Jacques Fleuriot

Sir Isaac Newton's philosophi Naturalis Principia Mathematica'(the Principia) includes 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 mix of equipment 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 applying of this framework to the mechanization of user-friendly genuine research utilizing nonstandard suggestions 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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