Mathematics and music: loves and fights

Thierry Paul (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

We present different aspects of the special relationship that music has with mathematics, in particular the concepts of rigour and realism in both fields. These directions are illustrated by comments on the personal relationship of the author with Jean-Claude, together with examples taken from his own works, specially the "Duos pour un pianiste".

Mots clés: music; mathematics; rigour; philosophy; Jean-Claude Ris- set

Domaines: Mathématiques [math]; Physique mathématique [math-ph]; Sciences de l'Homme et Société; Musique, musicologie et arts de la scène; Philosophie; Physique [physics]; Physique Quantique [quant-ph]

Thierry Paul. Mathematics and music: loves and fights. 2019. ⟨hal-02194739v1⟩