Overview
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.
Full Product Details
Author: P. Mancosu ,
Klaus Frovin Jørgensen ,
S.A. Pedersen
Publisher: Springer
Imprint: Springer
Edition: Softcover reprint of hardcover 1st ed. 2005
Volume: 327
Dimensions:
Width: 16.00cm
, Height: 1.70cm
, Length: 24.00cm
Weight: 0.520kg
ISBN: 9789048168378
ISBN 10: 9048168376
Pages: 300
Publication Date: 28 October 2010
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Out of stock
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Reviews
"From the reviews: ""As its title suggests, the book deals with themes that are of great interest to mathematics educators. … this book is a collection of excellent papers by distinguished authors. It also shows a high standard of book production, in its layout, paper quality, draftsmanship and binding. … this book deserves the attention of all those with an interest in mathematics education."" (G. Hanna, Educational Studies in Mathematics, Vol. 64, 2007) ""This fascinating collection of essays is a must-have for those who are interested in the history and philosophy of mathematics … . this is a book that libraries will want to have, particularly if they strive to have good collections on the history and philosophy of mathematics."" (Fernando Q. Gouvêa, MathDL, August, 2005)"
From the reviews: As its title suggests, the book deals with themes that are of great interest to mathematics educators. ! this book is a collection of excellent papers by distinguished authors. It also shows a high standard of book production, in its layout, paper quality, draftsmanship and binding. ! this book deserves the attention of all those with an interest in mathematics education. (G. Hanna, Educational Studies in Mathematics, Vol. 64, 2007) This fascinating collection of essays is a must-have for those who are interested in the history and philosophy of mathematics ! . this is a book that libraries will want to have, particularly if they strive to have good collections on the history and philosophy of mathematics. (Fernando Q. Gouvea, MathDL, August, 2005)
