Download PDF by P. Mancosu,Klaus Frovin Jørgensen,S.A. Pedersen: Visualization, Explanation and Reasoning Styles in

By P. Mancosu,Klaus Frovin Jørgensen,S.A. Pedersen

ISBN-10: 1402033346

ISBN-13: 9781402033346

ISBN-10: 9048168376

ISBN-13: 9789048168378

This booklet comprises groundbreaking contributions to the philosophical research of mathematical perform. numerous philosophers of arithmetic have lately known as for an method of philosophy of arithmetic that will pay extra awareness to mathematical perform. Questions bearing on concept-formation, figuring out, heuristics, adjustments common of reasoning, the function of analogies and diagrams, and so forth. became the topic of extreme curiosity. The historians and philosophers during this e-book agree that there's extra to figuring out arithmetic than a examine of its logical constitution. How are mathematical gadgets and ideas generated? How does the method tie up with justification? What function do visible photos and diagrams play in mathematical job? What are different epistemic virtues (explanatoriness, realizing, visualizability, etc.) that are pursued and adored through mathematicians of their paintings? The reader will locate right here systematic philosophical analyses in addition to a wealth of philosophically expert case stories starting from Babylonian, Greek, and chinese language arithmetic to 19th century genuine and intricate analysis.

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Visualization, Explanation and Reasoning Styles in Mathematics: 327 (Synthese Library) by P. Mancosu,Klaus Frovin Jørgensen,S.A. Pedersen

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