umu.sePublications
Change search
ReferencesLink to record
Permanent link

Direct link
Mathematical Fit: a case study
Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2016 (English)In: Philosophia mathematica, ISSN 0031-8019, E-ISSN 1744-6406Article in journal (Refereed) Epub ahead of print
Abstract [en]

Mathematicians routinely pass judgments on mathematical proofs. A proof might be elegant, cumbersome, beautiful, or awkward. Perhaps the highest praise is that a proof is right, that is that the proof fits the theoremin an optimal way. It is also common to judge that a proof fits better than another, or that a proof does not fit a theorem at all. This paper attempts to clarify the notion of mathematical fit. We suggest six criteria that distinguish proofs as being more or less fitting, and provide examples from several different mathematical fields.

Place, publisher, year, edition, pages
Oxford University Press, 2016.
Keyword [en]
Fit, aesthetics, explanation
National Category
Philosophy Mathematics
Research subject
Aesthetics; Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-124162DOI: 10.1093/philmat/nkw015OAI: oai:DiVA.org:umu-124162DiVA: diva2:949643
Available from: 2016-07-21 Created: 2016-07-21 Last updated: 2016-08-31

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Raman Sundström, ManyaÖhman, Lars-Daniel
By organisation
Department of Science and Mathematics EducationDepartment of Mathematics and Mathematical Statistics
In the same journal
Philosophia mathematica
PhilosophyMathematics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 20 hits
ReferencesLink to record
Permanent link

Direct link