In Brendan Larvor (ed.), Mathematical Cultures: The London Meetings 2012--2014. Basel, Switzerland: pp. 163-179 (2016)

Andrew Aberdein
Florida Institute of Technology
Matthew Inglis
Loughborough University of Technology
We investigated whether mathematicians typically agree about the qualities of mathematical proofs. Between-mathematician consensus in proof appraisals is an implicit assumption of many arguments made by philosophers of mathematics, but to our knowledge the issue has not previously been empirically investigated. We asked a group of mathematicians to assess a specific proof on four dimensions, using the framework identified by Inglis and Aberdein (2015). We found widespread disagreement between our participants about the aesthetics, intricacy, precision and utility of the proof, suggesting that a priori assumptions about the consistency of mathematical proof appraisals are unreasonable.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Buy the book Find it on
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

 PhilArchive page | Other versions
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

The Past and Future of Experimental Philosophy.Thomas Nadelhoffer & Eddy Nahmias - 2007 - Philosophical Explorations 10 (2):123 – 149.
Mathematical Explanation.Mark Steiner - 1978 - Philosophical Studies 34 (2):135 - 151.
Systems of Predicative Analysis.Solomon Feferman - 1964 - Journal of Symbolic Logic 29 (1):1-30.
Explanation, Independence and Realism in Mathematics.Michael D. Resnik & David Kushner - 1987 - British Journal for the Philosophy of Science 38 (2):141-158.

View all 11 references / Add more references

Citations of this work BETA

On the Contemporary Practice of Philosophy of Mathematics.Colin Jakob Rittberg - 2019 - Acta Baltica Historiae Et Philosophiae Scientiarum 7 (1):5-26.

View all 6 citations / Add more citations

Similar books and articles

Arguing Around Mathematical Proofs.Michel Dufour - 2013 - In Andrew Aberdein & Ian J. Dove (eds.), The Argument of Mathematics. Dordrecht: Springer. pp. 61-76.
Mathematical Fit: A Case Study.Manya Raman-Sundström & Lars-Daniel Öhman - forthcoming - Philosophia Mathematica:nkw015.
Knowledge of Mathematics Without Proof.Alexander Paseau - 2015 - British Journal for the Philosophy of Science 66 (4):775-799.
Mathematical Explanations That Are Not Proofs.Marc Lange - 2018 - Erkenntnis 83 (6):1285-1302.
Surveyability and Mathematical Certainty.Kai Büttner - 2017 - Axiomathes 27 (1):113-128.
What is a Proof?Reinhard Kahle - 2015 - Axiomathes 25 (1):79-91.
The Uses of Argument in Mathematics.Andrew Aberdein - 2005 - Argumentation 19 (3):287-301.


Added to PP index

Total views
107 ( #100,197 of 2,448,312 )

Recent downloads (6 months)
32 ( #21,699 of 2,448,312 )

How can I increase my downloads?


My notes