THE MATHEMATICAL SUBJECTIVITY OF LACAN: TOPOLOGICAL REFINEMENT OF THE CONCEPT OF SUBJECT AND OF THE PSYCHOANALYTIC CLINICAL PRACTICE

Abstract

This study examines the use of topology in Lacan's investigation of the subject. Thus, it is noted that the research for the paper presents an incursion into both mathematics and psychoanalysis. The central contribution of the work is the topological refinement of the concept of the subject in psychoanalysis and its subsequent impact on psychoanalytic clinical practice. Furthermore, it should be noted that the text clarifies the scientific aspect of psychoanalysis by linking it to topology. The methodology employed in the research must be specific to psychoanalysis, which does not separate theory, practice and clinical work, so that the writing exercise is linked to the clinical experience of each researcher, favouring communication between colleagues. Thus, after going through various topological figures such as the Moebius strip, the cross-cap and the torus, the writing arrives at the confirmation that the subject demanded a topology, which ends up linking, as an additional result of the research, clinical practice and science.