what is music constitutive of a world per se? Conditions, consequences

Abstract

Founded on the mathematical concept of topos (Grothendieck) and on the
philosophical concept of situation-universe (Badiou), the thesis of this paper is that
music is constitutive of a world per se, satisfying the three properties of a world:
infinitely vast, closed on itself, centered on an internal logic. Sociology cannot
succeed in accounting for the insubordination of music, for its internal logic based
on what is called “music theory”.
Such a conception of music as world allows thinking it as both one and plural. It
enlightens the relationship of the musicians to music, which they visit without
inhabitating it. It defines the contents of musical intellectuality, that which thinks the
world of music as such, and demonstrates that a history of music can be but a history
for the musicians, not for the works of music.