Visualization, Explanation and Reasoning Styles in Mathematics
Language: English
Published by Springer Netherlands, 2010
- Softcover
- New
Condition: New
£ 80.56
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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Unique focus on the relationship between philosophy of mathematics and mathematical practiceContains groundbreaking contributions on visualization, explanation and reasoning styles in mathematicsIn the 20th century philosophy of mathematic.
Seller Inventory # 5820687
- Title
- Visualization, Explanation and Reasoning Styles in Mathematics
- Author
- Mancosu, P.|Jørgensen, Klaus Frovin|Pedersen, S. A.
- Publisher
- Springer Netherlands
- Publication year
- 2010
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 9048168376
- ISBN 13
- 9789048168378
- Series
- Book 34 of 304: Synthese Library
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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