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Rigour and Intuition

Research output: Contribution to journalArticle

Original languageEnglish
Number of pages25
JournalErkenntnis
DOIs
DateAccepted/In press - 3 Oct 2019
DatePublished (current) - 13 Dec 2019

Abstract

This paper sketches an account of the standard of acceptable proof in mathematics - rigour - arguing that the key requirement of rigour in mathematics is that nontrivial inferences be provable in greater detail. This account is contrasted with a recent perspective put forward by De Toffoli and Giardino, who base their claims on a case study of an argument from knot theory. I argue that De Toffoli and Giardino's conclusions are not supported by the case study they present, which instead is a very good illustration of the kind of view of proof defended here.

    Research areas

  • Rigour, Proof, Intuition, Knot Theory, Formalizability

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    Rights statement: This is the final published version of the article (version of record). It first appeared online via Springer Nature at https://link.springer.com/article/10.1007/s10670-019-00180-9. Please refer to any applicable terms of use of the publisher.

    Final published version, 1.06 MB, PDF document

    Licence: CC BY

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