The Argument of Mathematics

Dordrecht, Netherland: Springer (2013)
  Copy   BIBTEX


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. ​



    Upload a copy of this work     Papers currently archived: 93,098

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

The Uses of Argument in Mathematics.Andrew Aberdein - 2005 - Argumentation 19 (3):287-301.
Mathematics and argumentation.Andrew Aberdein - 2009 - Foundations of Science 14 (1-2):1-8.
Objects and Processes in Mathematical Practice.Uwe V. Riss - 2011 - Foundations of Science 16 (4):337-351.
Towards a theory of mathematical argument.Ian J. Dove - 2009 - Foundations of Science 14 (1-2):136-152.
Observations on Sick Mathematics.Andrew Aberdein - 2010 - In Bart van Kerkhove, Jean Paul van Bendegem & Jonas de Vuyst (eds.), Philosophical Perspectives on Mathematical Practice. College Publications. pp. 269--300.


Added to PP

79 (#216,511)

6 months
11 (#272,000)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

Andrew Aberdein
Florida Institute of Technology
Ian Dove
University of Nevada, Las Vegas

References found in this work

Laws and symmetry.Bas C. Van Fraassen - 1989 - New York: Oxford University Press.
Argumentation schemes.Douglas Walton, Chris Reed & Fabrizio Macagno - 2008 - New York: Cambridge University Press. Edited by Chris Reed & Fabrizio Macagno.

View all 126 references / Add more references