Roger Ap\'ery: humour at the service of a free and original thinking on constructive mathematics

TL;DR

This paper explores Roger Apéry's humorous and original approach to constructive mathematics, analyzing his famous text and providing commentary and resources to deepen understanding of the subject.

Contribution

It offers a detailed analysis of Apéry's work, highlighting his unique perspective and humor in constructive mathematics, along with a curated bibliography and technical notes.

Findings

Highlights Apéry's humorous approach to constructive mathematics

Provides a comprehensive commentary and bibliography on the topic

Includes technical notes on measure theory

Abstract

This article is an invitation to read a famous text of Roger Ap{\'e}ry, "Math{\'e}matique constructive", published in the book "Penser les math{\'e}matiques: s{\'e}minaire de philosophie et math{\'e}matiques de l'{\'E}cole normale sup{\'e}rieure (J. Dieudonn{\'e}, M. Loi, R. Thom)" [arXiv:1705.05581]. It also proposes a commented bibliography for constructive mathematics and a technical note on measure theory.