Visualization, Explanation and Reasoning Styles in Mathematics

Visualization, Explanation and Reasoning Styles in Mathematics
Author :
Publisher : Springer Science & Business Media
Total Pages : 336
Release :
ISBN-10 : 1402033346
ISBN-13 : 9781402033346
Rating : 4/5 (346 Downloads)

Book Synopsis Visualization, Explanation and Reasoning Styles in Mathematics by : Paolo Mancosu

Download or read book Visualization, Explanation and Reasoning Styles in Mathematics written by Paolo Mancosu and published by Springer Science & Business Media. This book was released on 2005-04-20 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, understanding, heuristics, changes in style of reasoning, the role of analogies and diagrams etc. have become the subject of intense interest. The historians and philosophers in this book agree that there is more to understanding mathematics than a study of its logical structure. How are mathematical objects and concepts generated? How does the process tie up with justification? What role do visual images and diagrams play in mathematical activity? What are the different epistemic virtues (explanatoriness, understanding, visualizability, etc.) which are pursued and cherished by mathematicians in their work? The reader will find here systematic philosophical analyses as well as a wealth of philosophically informed case studies ranging from Babylonian, Greek, and Chinese mathematics to nineteenth century real and complex analysis.


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