The feminine in Lacan and its relationship with the general theory of sets. A logical perspective of psychoanalysis

Abstract

The present work aims to demonstrate the fruitful use that Jacques Lacan makes of logic to develop his conceptions about the feminine. For this we are going to briefly go through contributions from Gottlob Frege and Georg Cantor that would have been useful to Lacan to reach his conceptions about the feminine. The leading question is how does modern logic demonstrate the psychoanalytic conceptions of the feminine?, more precisely, how do certain contributions of the general theory of sets allow Lacan to address the feminine in theory and in the clinic? The main hypothesis is that the germ of Lacanian psychoanalytic
conceptions about the feminine sinks its foundations into the conceptions of the exclusionreunion
logic. Lacan teaches us that, unlike contradictions, paradoxes place two apparently opposite elements, but compatible, even necessarily united to assemble sets and sustain what exists to the whole, which results in a logic that Lacan calls not everything. This relationship between psychoanalysis, both in its doctrine and in its act, and modern logic allows us to conclude that modern logic constitutes the foundations of psychoanalysis of Lacanian orientation.