Ignacio Matte-Blanco reconceptualizes Freud's theory of the unconscious using mathematical set theory and geometry. Central tenets, such as the timelessness of the unconscious and the absence of negation and contradiction, can be reconciled in a surprisingly consistent manner with the concepts of set theory and multidimensional geometry. On this basis, psychoanalysis is rethought: psychoanalytic concepts such as projection, introjection, and projective identification, particularly with regard to the work of Sigmund Freud and Melanie Klein, but also Wilfred R. Bion, are given a solid theoretical foundation. Matte-Blanco's innovative approach opens up new perspectives for psychoanalytic practice by providing a deeper and logically grounded theory of the inner-outer relationships between psychic and material reality. The combination of mathematical logic with psychoanalytic theory creates entirely new possibilities for interpretation, particularly for the treatment of psychotic patients. Matte-Blanco succeeds in presenting even complex mathematical concepts clearly and comprehensibly, so that readers without specific mathematical background can also access these ideas. New product