Visualization, Explanation and Reasoning Styles in Mathematics

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, und...

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Bibliographic Details
Call Number:Libro Electrónico
Corporate Author: SpringerLink (Online service)
Other Authors: Mancosu, P. (Editor), Jørgensen, Klaus Frovin (Editor), Pedersen, S.A (Editor)
Format: Electronic eBook
Language:Inglés
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2005.
Edition:1st ed. 2005.
Series:Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science, 327
Subjects:
Mathematics.
Information visualization.
History.
Mathematical logic.
Science-Philosophy.
Data and Information Visualization.
History of Mathematical Sciences.
Mathematical Logic and Foundations.
Philosophy of Science.
Online Access:Texto Completo
Description
Summary: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.
Physical Description:X, 300 p. online resource.
ISBN:9781402033353
ISSN:2542-8292 ;

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