Under what terms is a relationship between mathematics and psychology possible? This work is a reformulation of the conference given by the author in the opening ceremony at the International Summer School (Escuela Internacional de Verano), UDELAR, 2015, where comments and analyses, in the double meaning of wanderings or digressions on the objects of the title, were offered. The importance of the discovery and formalization of the Theory of Chaos, the branch of mathematics which shows the convergences with other scientific disciplines, is examined because it feeds on the attempts made to understand diverse, very complicated phenomena, changing the perspective of these attempts with its abstract and globalizing approach. Using this as a starting point, work is carried out on the formalizations of Freud’s case-study of Dora, the logic of the brain, and the contribution of psychoanalysis. Abstraction, the engine that fuels math, confers simplicity and generality to this discipline, traits that allow for the perception of order in disordered phenomena.
Key words: Theory of chaos, psychoanalysis, brain, metaphor