Wigner called the effectiveness of Mathematics in Physics (and in natural sciences) "unreasonable". Against the widespread romantic position, I argue that what is unreasonable is the use of physical principles for founding physical theories. Physics without physics? This may seem an oxymoron. But the point made here is that the theory should be a purely mathematical construction, whereas its physical connotation should pertain only the interpretation of the mathematics. An exemplary case is that of group theory and physical symmetries. In contrast to the present call for mathematization, the current major physical theories either have mathematical axioms that lack physical interpretation, or have physical postulates. I therefore call for the construction of a theory that, though with limited (but relentlessly growing) domain of applicability, yet will have the eternal validity of mathematics. A theory on which natural sciences can firmly rely. This is what I consider should be the answer to the Hilbert’s call contained in his Sixth Problem.
Giacomo Mauro D\'Ariano