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Diversity in proof appraisal
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 (2014). 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.
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School
- Science
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- Mathematics Education Centre
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Mathematical Cultures: The London Meetings 2012-2014Pages
163 - 180Citation
INGLIS, M. and ABERDEIN, A., 2016. Diversity in proof appraisal. IN: Larvor, Brendan (Ed.). Mathematical Cultures: The London Meetings 2012-2014. Basel: Birkhäuser, pp. 163 - 180.Publisher
Birkhäuser Basel © Springer International PublishingVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2016Notes
Closed access. This is a chapter from the book, Mathematical Cultures: The London Meetings 2012-2014.ISBN
978-3-319-28580-1ISSN
2297-2951Publisher version
Book series
Trends in the History of Science;Language
- en
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