  In this second paper, we develop the full mathematical structure of the
algebra of the pseudo-observables, in order to solve the quantum measurement
problem. Quantum state vectors are recovered but as auxiliary
pseudo-observables storing the information acquired in a set of observations.
The whole process of measurement is deeply reanalyzed in the conclusive
section, evidencing original aspects. The relation of the theory with some
popular interpretations of Quantum Mechanics is also discussed, showing that
both Relational Quantum Mechanics and Quantum Bayesianism may be regarded as
compatible interpretations of the theory. A final discussion on reality, tries
to bring a new insight on it.
