JOURNAL ARTICLE

Geometric diagrams as an effective notation.

  • Published In: Philosophical Investigations, 2024, v. 47, n. 4. P. 558 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Mumma, John 3 of 3

Abstract

In what way does a mathematical proof depend on the notation used in its presentation? This paper examines this question by analysing the computational differences, in the sense of Larkin and Simon's 'Why a diagram is (sometimes) worth 10,000 words', between diagrammatic and sentential notations as a means for presenting geometric proofs. Wittgenstein takes up the question of mathematical notation and proof in Section III of Remarks on the Foundations of Mathematics. After discussing his observations on a proof's 'characteristic visual shape' in Section III with respect to arithmetical proofs, the paper shows how the notion of a characteristic visual shape illuminates the special effectiveness of diagrammatic notation in geometry. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Philosophical Investigations. 2024/10, Vol. 47, Issue 4, p558
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2024
  • ISSN:0190-0536
  • DOI:10.1111/phin.12440
  • Accession Number:180110787
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