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By Jacques Fleuriot

Sir Isaac Newton's philosophi Naturalis Principia Mathematica'(the Principia) encompasses a prose-style mix of geometric and restrict reasoning that has frequently been considered as logically vague.
In A blend 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 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 ordinary genuine research utilizing nonstandard innovations can also be discussed.

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