These notes contain a summarised version of the contents of the lectures “The invisible heartbeat. The beauty and soul of mathematics” and “The borders of our prejudices”, given at the Casa de Cultura in Girona in October 2015 and September 2018 respectively, within the “Contemporalia” cycle organized by the Lluís A. Santaló Chair of Mathematical Applications of the University of Girona

We will look at mathematical aesthetic experience from a point of view close to the one of analytical psychology. We will analyse the myth that the universe is a harmonic entity that can be described through mathematics, giving it its beauty, and study the unconscious remnant of this archetypal idea in contemporary science. Mathematical beauty appears, finally, as a link between the Archetype of the Cosmos and the wholeness of the psyche. These notes contain a summarised version of the contents of the lectures “The invisible heartbeat. The beauty and soul of mathematics” and “The borders of our prejudices”, given at the Casa de Cultura in Girona in October 2015 and September 2018 respectively, within the “Contemporalia” cycle organized by the Lluís A. Santaló Chair of Mathematical Applications of the University of Girona.