Mathematical Fit: a case study
2016 (English)In: Philosophia mathematica, ISSN 0031-8019, E-ISSN 1744-6406Article in journal (Refereed) Epub ahead of print
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.
Fit, aesthetics, explanation
Research subject Aesthetics; Mathematics
IdentifiersURN: urn:nbn:se:umu:diva-124162DOI: 10.1093/philmat/nkw015OAI: oai:DiVA.org:umu-124162DiVA: diva2:949643