L. Accardi, CAN MATHEMATICS HELP SOLVING THE INTERPRETATIONAL PROBLEMS OF QUANTUM-THEORY, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 110(5-6), 1995, pp. 685-721
A new axiomatization for probability theory, including the classical a
nd the quantum case is proposed. It is shown that the quantum formalis
m can be deduced from this set of (physically meaningful) axioms.