Abstract: “The nameless Man” is part of a series of “conceptual characters” (Deleuze and Guattari) with which we must associate Descartes and Monsieur Teste. By depriving him of memory and thus of the “past variable,” Valéry increases his “possible variable.” It will therefore be necessary to study this game of possibilities, a combinatorial game of an “I without attributes,” which participates both in Valérian nominalism and a realism of relationships that take precedence over their terms.