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Download E-books A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton’s Principia PDF

By Jacques Fleuriot PhD, MEng (auth.)

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 blend of Geometry Theorem Proving and NonstandardAnalysis, 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 methods, 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 trouble-free actual research utilizing nonstandard thoughts can be discussed.

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