Représentation mathématique du temps: après Reichenbach

This paper proposes an innovative way of modelising time with mathematical tools. Based on the classical formalism of Reichenbach and on the numerous linguistic approaches that endorse a Reichenbach-like relational-referential view, our formalism is taken from what is generally called <i>S-languages</i>. This model has three main advantages, which are advocated for in this paper, through a discussion of a number of linguistic approaches to time: The S-languages model i) captures the two fundamental relations of <i>precedence</i> and <i>simultaneity</i>, ii) allows to represent the <i>discrete</i> or <i>continuous</i> property of linguistic verbal objects, and iii) provides the algebraic operators required by temporal reasoning without recourse to a logically defined notion of 'time'.