Bourbaki, or How Anatole France Reinvented Existential Quantification

TL;DR

This paper is a mathematical-literary fiction that explores the philosophical and mathematical significance of existential quantification through a satirical tribute connecting Anatole France and Nicolas Bourbaki.

Contribution

It presents a unique fictional narrative linking literary history with mathematical philosophy, specifically reimagining existential quantification symbolized by 'E' in a satirical context.

Findings

Raises philosophical questions about existence and being in mathematics.

Reinterprets the symbol 'E' through a literary and satirical lens.

Connects historical literary figures with mathematical concepts in a novel way.

Abstract

The present document is a mathematical-literary fiction, commemorating the centenary of the death of Anatole France (April 16, 1844 - October 12, 1924) and which, at the same time, pays tribute to Nicolas Bourbaki and his "Godparents". Strange as it may seem, the connection between the great man of letters and the legendary mathematician is thought out through a famous satirical tale, where Anatole France's Putois has given way to Andr\'e Weil's Bourbaki ! The old philosophical question about the conditions of existence and modes of being is then raised again, to the extent of questioning the real mathematical meaning of what we used to symbolize by a backwards "E" ! -- Il s'agit d'une fiction math\'ematico-litt\'eraire, comm\'emorant le centenaire de la mort d'Anatole France (16 avril 1844 - 12 octobre 1924) et qui, par la m\^eme occasion, rend hommage \`a Nicolas Bourbaki et \`a ses "Godparents". Aussi \'etrange que cela puisse para\^itre, la mise en relation du grand homme de lettres avec le math\'ematicien l\'egendaire est pens\'ee \`a travers un c\'el\`ebre conte satirique, o\`u le personnage de Putois d'Anatole France a c\'ed\'e place \`a celui de Bourbaki d'Andr\'e Weil ! Ressurgit alors la vieille question philosophique sur les conditions de l'existence et les modes de l'\^etre, au point de se demander ce qu'est la signification math\'ematique r\'eelle de ce qu'on a eu l'habitude de symboliser par un "E" r\'efl\'echi !