On the Plurality of Styles: Spherics, The Isoperimetric Problem Cover Image

On the Plurality of Styles: Spherics, The Isoperimetric Problem
On the Plurality of Styles: Spherics, The Isoperimetric Problem

Author(s): Roshdi Rashed
Subject(s): Logic, Philosophy of Middle Ages, Contemporary Philosophy, Philosophy of Science, Methodology and research technology
Published by: Wydawnictwo Uniwersytetu Jagiellońskiego
Keywords: (Plurality of) mathematical styles; Gilles-Gaston Granger; the isoperimetric problem; the style of Menelaus’s Sphaerica; the cosmological style; Al-Khāzin’s geometric style; Ibn al- Haytham;

Summary/Abstract: This paper studies the question of plurality of mathematical styles, i.e., whether a fundamental mathematical work is characterised by a single style or by a multitude of styles; and, whether the unity of a subject in mathematics in its development is the outcome of a single style or several styles. The question is studied (a) within a single mathematical work and (b) through the study of the same problem over time and illustrated on Menelaus’s Sphaerica and the isoperimetric problem.

  • Issue Year: 62/2021
  • Issue No: 3
  • Page Range: 163-175
  • Page Count: 14
  • Language: English