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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.ORCID iD: 0000-0002-7040-4006
2018 (English)In: Philosophia mathematica, ISSN 0031-8019, E-ISSN 1744-6406, Vol. 26, no 2, p. 184-210Article in journal (Refereed) Published
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
Cary: Oxford University Press, 2018. Vol. 26, no 2, p. 184-210
Keywords [en]
Fit, aesthetics, explanation
National Category
Philosophy Mathematics
Research subject
Aesthetics; Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-124162DOI: 10.1093/philmat/nkw015ISI: 000439703300003Scopus ID: 2-s2.0-85053033011OAI: oai:DiVA.org:umu-124162DiVA, id: diva2:949643
Available from: 2016-07-21 Created: 2016-07-21 Last updated: 2024-07-02Bibliographically approved

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fulltext(951 kB)125 downloads
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Raman-Sundström, ManyaÖhman, Lars-Daniel

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf