Rigour and Intuition

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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.
Original languageEnglish
Number of pages25
JournalErkenntnis
DOIs
Publication statusPublished - 13 Dec 2019

Keywords

  • Rigour
  • Proof
  • Intuition
  • Knot Theory
  • Formalizability

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