Acceptable Gaps in Mathematical Proofs

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24 Citations (Scopus)
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Abstract

Mathematicians often intentionally leave gaps in their proofs. Based on interviews with mathematicians about their refereeing practices, this paper examines the character of intentional gaps in published proofs. We observe that mathematicians’ refereeing practices limit the number of certain intentional gaps in published proofs. The results provide some new perspectives on the traditional philosophical questions of the nature of proof and of what grounds mathematical knowledge.
Original languageEnglish
Pages (from-to)233-247
Number of pages15
JournalSynthese
Volume197
Issue number1
DOIs
Publication statusPublished - 1 Jan 2020

Bibliographical note

Publisher Copyright:
© 2018, Springer Nature B.V.

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