Bridging the gap between argumentation theory and the philosophy of mathematics

Alison Pease, Alan Smaill, Simon Colton, John Lee

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Researchpeer-review

Abstract

We argue that there are mutually beneficial connections to be made between ideas in argumentation theory and the philosophy of mathematics, and that these connections can be suggested via the process of producing computational models of theories in these domains. We discuss Lakatos’s work (Lakatos, 1976) in which he championed the informal nature of mathematics, and our computational representation of his theory. In particular, we outline our representation of Cauchy’s proof of Euler’s conjecture, which uses work by Haggith on argumentation structures, and identify connections between these structures and Lakatos’s methods.

Original languageEnglish
Title of host publicationThe Argument of Mathematics
PublisherSpringer
Pages309-338
Number of pages30
ISBN (Electronic)9789400765344
ISBN (Print)9789400765337
DOIs
Publication statusPublished - 2013
Externally publishedYes

Keywords

  • Argumentation theory
  • Computational model
  • Euler’s conjecture
  • Lakatos
  • Philosophy of mathematics
  • Theory refinement

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