Abstract
The relations between : reality in itself and phenomenal reality, mathematical world and world of experience, exactness and approximation in physics and mathematics, these are issues, among others, that invest both physics and philosophy. There is a vast area of intersection between physics and philosophy. The article is located precisely at this intersection. The headlines of the main topics addressed are : realism and phenomenalism in epistemology and physics, relation world of experience-mathematical world, eulogy of inexactness and therefore of approximation and probability. Furthermore, two quite original working hypotheses: a draft of a theory of uniqueness, irreducibility and unrepeatability of the event and the criticism of substantialization, which attributes reality in itself to the objects of the cognitive process, with the consequent proposal for a change of perspective, which could free fundamental physics from epistemological assumptions and prejudices. Physics, even theoretical physics, is an experimental science. Physics does not exaust human thought, but its sphere and its effectiveness are exactly this.