Alain Badiou grieved the contemporary hegemony of algebra (which deals with numbers) over geometry (which deals with shapes and figures). Following the ideal of the Cartesian cogito regarding the Being for Thinking, science has sought to grasp everything in quantitative terms, able to measurement. We also know that, classically, the universality is conceivable only in the deletion of singularities. How should an individual, in this context, think? Is it possible that a formula jointly consider the universal (mathema) and the singular (regarding to an individual)? It is interesting the progressive choice of Lacan in working with the Mathematical theory of categories, who is interested in arrows, or functions, and deformations that are operationalized. We could wonder that Lacan proposes a methodology of transformation, when forcing the ex-sistence of real as the third indissoluble element of consolidated scientific association of knowledge with the truth, forcing the subversion of would be the last two terms.
science; psychoanalysis; subject; topology; real