The Leading eBooks Store Online 4,353,660 members ⚫ 1,442,818 ebooks

New to

Learn more

The Argument of Mathematics

The Argument of Mathematics by Andrew Aberdein
Buy this eBook
US$ 159.00
(If any tax is payable it will be calculated and shown at checkout.)

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.  ​

Springer Netherlands; July 2013
391 pages; ISBN 9789400765344
Read online, or download in secure PDF format
Title: The Argument of Mathematics
Author: Andrew Aberdein; Ian J Dove
  • News
  • Contents
No entry found