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Acceptable gaps in mathematical proofs

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  • Line Edslev Andersen

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
Publication statusPublished - 2020

    Research areas

  • Gaps in proofs, Mathematical practice, Peer review in mathematics, The nature of proofs

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