The Argument of Mathematics

Ian J Dove

ISBN 10: 940178194X / ISBN 13: 9789401781947

Edité par Springer Netherlands, Springer Netherlands Aug 2015, 2015

A propos de cet article

This item is printed on demand - Print on Demand Titel. Neuware -Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical practice diverges from mainstream philosophy of mathematics in the emphasis it places on what the majority of working mathematicians actually do, rather than on mathematical foundations.The book begins by first challenging the assumption that there is no role for informal logic in mathematics. Next, it details the usefulness of argumentation theory in the understanding of mathematical practice, offering an impressively diverse set of examples, covering the history of mathematics, mathematics education and, perhaps surprisingly, formal proof verification. From there, the book demonstrates that mathematics also offers a valuable testbed for argumentation theory. Coverage concludes by defending attention to mathematical argumentation as the basis for new perspectives on the philosophy of mathematics. ¿Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 404 pp. Englisch.

N° de réf. du vendeur 9789401781947

Détails bibliographiques

• Titre: The Argument of Mathematics
• Éditeur: Springer Netherlands, Springer Netherlands Aug 2015
• Date de parution: 2015
• Langue: anglais
• ISBN à 10 chiffres: 940178194X
• ISBN à 13 chiffres: 9789401781947
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 22 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 22 millimètres de profondeur
• Poids: 610 grammes

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Synopsis

This book presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. It offers large array of examples ranging from the history of mathematics to formal proof verification.