Modelarea problematicii și problematica modelării în matematică. Dialectica lautmaniană și proiectul deleuzian
Problem modeling and the problem of modeling in mathematics. Lautmanian dialectic and the Deleuzian project

Summary/Abstract: This article examines the intersection of Gilles Deleuze’s philosophy, Albert Lautman’s structural mathematics, and the processual ontology later developed by Manuel DeLanda. Building on Lautman’s account, the mathematical model is inseparable from the processes that articulate the continuum. Deleuze extends this insight by proposing mathematics as a problematic field, where solutions emerge asymptotically around singularities and differential fields. Within this framework, DeLanda incorporates tools from complexity sciences, revaluing mathematical models not only as representations but as partial actualizations of a virtual field of possibilities. The present article aims to trace this line of thought while arguing for a dynamic system of problematics itself.

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