Peirce's cenopythagorean categories, Merleau-Ponty's chiasmatic entrelacs and Grothendieck's Résumé

Prog Biophys Mol Biol. 2015 Dec;119(3):437-41. doi: 10.1016/j.pbiomolbio.2015.07.011. Epub 2015 Aug 4.

Abstract

We present Peirce's cenopythagorean categories and Merleau-Ponty's entrelacs and chiasma, as universal phenomenological tools, particularly useful for a better understanding of dynamic, non-classical, non-separated contemporary mathematics. As a case study, we revisit Grothendieck's Résumé, and we explore its extremely rich mathematical, semiotical and phenomenological entanglements.

Keywords: Banach spaces; Category theory; Functional analysis; Mathematics; Phenomenology; Philosophy; Semiotics.

Publication types

  • Review

MeSH terms

  • Mathematics / methods*
  • Philosophy