Revisiting the reliability of published mathematical proofs: where do we go next?

Theoria 29 (3):345-360 (2014)
  Copy   BIBTEX


Mathematics seems to have a special status when compared to other areas of human knowledge. This special status is linked with the role of proof. Mathematicians all too often believe that this type of argumentation leaves no room for errors or unclarity. In this paper we take a closer look at mathematical practice, more precisely at the publication process in mathematics. We argue that the apparent view that mathematical literature is also more reliable is too naive. We will discuss several problems in the publication process that threaten this view, and give several suggestions on how this could be countered.



    Upload a copy of this work     Papers currently archived: 78,037

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

Mathematical Proofs in Practice: Revisiting the reliability of published mathematical proofs.Joachim Frans & Laszlo Kosolosky - 2014 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 29 (3):345-360.
Proof, rigour and informality : a virtue account of mathematical knowledge.Fenner Stanley Tanswell - 2016 - St Andrews Research Repository Philosophy Dissertations.
The surveyability of long proofs.Edwin Coleman - 2009 - Foundations of Science 14 (1-2):27-43.
Proofs and arguments: The special case of mathematics.Jean Paul Van Bendegem - 2005 - Poznan Studies in the Philosophy of the Sciences and the Humanities 84 (1):157-169.
How Abstract Objects Strike Us.Michael Liston - 1994 - Dialectica 48 (1):3-27.
Arguing Around Mathematical Proofs.Michel Dufour - 2013 - In Andrew Aberdein & Ian J. Dove (eds.), The Argument of Mathematics. Dordrecht: Springer. pp. 61-76.
Towards a theory of mathematical argument.Ian J. Dove - 2009 - Foundations of Science 14 (1-2):136-152.
Reliability in mathematical physics.Michael Liston - 1993 - Philosophy of Science 60 (1):1-21.
Why do mathematicians re-prove theorems?John W. Dawson Jr - 2006 - Philosophia Mathematica 14 (3):269-286.


Added to PP

22 (#529,333)

6 months
2 (#327,670)

Historical graph of downloads
How can I increase my downloads?

References found in this work

No references found.

Add more references