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The literature of Isidore Ducasse is crossed by the knowledge that has monopolized the scientific thought of the nineteenth century. However, mathematics stands as an inexhaustible source of knowledge from its quest or domestication of infinity. However, the domestication of infinity indicated does not mean to annul or repeal this mathematical problem of philosophical importance, but to raise awareness of the active role of literature for apprehending, questioning and projecting scientific knowledge over the cultural and epistemological framework. Ducasse’s writing makes of this epistemological problem the gordian knot where mathematics, metaphysics and poetry intersect. For this reason, the present article aims to analyze the influence of mathematics in its literature, the metaphor of the sea as a sign of infinity, the poetic view that runs between the discrete and the continuous and the transfinite and infinitesimal mathematics under the sign of Proteo, God of logos and number.

La domesticación del infinito: las matemáticas en Lautréamont, entre lo discreto y lo continuo