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

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 seen 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 mix of equipment from geometry and nonstandard research. The mechanization of the methods, 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 easy actual research utilizing nonstandard suggestions is usually discussed.

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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 seen 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 mix of equipment from geometry and nonstandard research. The mechanization of the methods, 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 easy actual research utilizing nonstandard suggestions is usually discussed.

Show description

Read Online or Download A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton’s Principia (Distinguished Dissertations) PDF

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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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