Mathematics and ‘Depth’: the example of number theory

Alain Michel

Mathematics and ‘Depth’: the example of number theory

Abstract

Using examples from number theory, this paper explores the philosophical notion of mathematical “depth” — what makes certain results more profound or significant than others. English translation of « Mathématiques et ‘profondeur’ : l’exemple de la théorie des nombres » (Jean-Toussaint Desanti, une pensée et son site, ed. G. Ravis-Giordani, Fontenay-aux-Roses: ENS Éditions, 2000, pp. 181–199).

Keywords philosophy of mathematics number theory mathematical depth

Cite this article

Michel, A. (2024). Mathematics and ‘Depth’: the example of number theory. M×Φ — Annals of Mathematics and Philosophy, 2(2), 157–175.

Michel, Alain. “Mathematics and ‘Depth’: the example of number theory.” M×Φ — Annals of Mathematics and Philosophy 2, no. 2 (2024): 157–175.

Michel, Alain. “Mathematics and ‘Depth’: the example of number theory.” M×Φ — Annals of Mathematics and Philosophy, vol. 2, no. 2, 2024, pp. 157–175.

@article{Michel2024,
  title = {{Mathematics and ‘Depth’: the example of number theory}},
  author = {Alain Michel},
  journal = {M×Φ — Annals of Mathematics and Philosophy},
  volume = {2},
  number = {2},
  pages = {157--175},
  year = {2024},
  issn = {3038-6381},
  language = {en},
  keywords = {philosophy of mathematics, number theory, mathematical depth},
  url = {https://www.mxphi.com/all-issues/volume-ii-number-2-2024/mathematics-depth-number-theory/},
  note = {License: CC BY-ND 4.0},
}

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UR  - https://www.mxphi.com/all-issues/volume-ii-number-2-2024/mathematics-depth-number-theory/
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