The Argument of Mathematics

Nonfiction, Science & Nature, Mathematics, Logic, Religion & Spirituality, Philosophy
Cover of the book The Argument of Mathematics by , Springer Netherlands
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9789400765344
Publisher: Springer Netherlands Publication: July 1, 2013
Imprint: Springer Language: English
Author:
ISBN: 9789400765344
Publisher: Springer Netherlands
Publication: July 1, 2013
Imprint: Springer
Language: English

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.  ​

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.  ​

More books from Springer Netherlands

Cover of the book Africa and international organization by
Cover of the book Indigenous Cognition: Functioning in Cultural Context by
Cover of the book Climate Change and the Law by
Cover of the book New Space Markets by
Cover of the book Interrelations between Essential Metal Ions and Human Diseases by
Cover of the book Genetics, Biofuels and Local Farming Systems by
Cover of the book Teaching Singing in the 21st Century by
Cover of the book The Reception of Darwinism in the Iberian World by
Cover of the book A Psychology of Food by
Cover of the book Edible Medicinal And Non Medicinal Plants by
Cover of the book The OAS and the Promotion and Protection of Human Rights by
Cover of the book The Crisis of French Sea Power, 1688–1697 by
Cover of the book Spatial Microsimulation: A Reference Guide for Users by
Cover of the book Procedural Semantics for Hyperintensional Logic by
Cover of the book The Semantics of English Aspectual Complementation by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy