Argumentation theory for mathematical argument

Joseph Corneli, Ursula Martin, Dave Murray-Rust, Gabriela Rino Nesin, Alison Pease

Research output: Contribution to journalArticle

Abstract

To adequately model mathematical arguments the analyst must be able to represent the mathematical objects under discussion and the relationships between them, as well as inferences drawn about these objects and relationships as the discourse unfolds. We introduce a framework with these properties, which has been used to analyse mathematical dialogues and expository texts. The framework can recover salient elements of discourse at, and within, the sentence level, as well as the way mathematical content connects to form larger argumentative structures. We show how the framework might be used to support computational reasoning, and argue that it provides a more natural way to examine the process of proving theorems than do Lamport’s structured proofs.
Original languageEnglish
Pages (from-to)173-214
Number of pages42
JournalArgumentation
Volume33
Issue number2
DOIs
Publication statusPublished - 4 Jan 2019

Bibliographical note

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Keywords

  • inference anchoring theory
  • mathematical practice
  • mathematical argument
  • structured proof

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    Corneli, J., Martin, U., Murray-Rust, D., Rino Nesin, G., & Pease, A. (2019). Argumentation theory for mathematical argument. Argumentation, 33(2), 173-214. https://doi.org/10.1007/s10503-018-9474-x