The Argument of Mathematics
Language: English
Published by Springer, 2013
Series: Book 20 of 41 - Logic, Epistemology, and the Unity of Science
- Hardcover
- New
Seller: Books Puddle, New York, NY, U.S.A.Books Puddle
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Condition: New
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pp. 404.
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- Title
- The Argument of Mathematics
- Publisher
- Springer
- Publication year
- 2013
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 9400765339
- ISBN 13
- 9789400765337
- Series
- Book 20 of 41: Logic, Epistemology, and the Unity of Science
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
Books Puddle
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