The Probability Structure of Quantum-Mechanical Systems

Several attempts have been made in recent years to understand the theoretical foundations of quantum mechanics via axiomatization and model construction. While the philosophical and physical significance of these efforts remains largely unclear, they have produced some highly interesting methodological and formal problems. Many of these, especially the ones concerning the understanding of observables, states, and ‘logics’, are insidious and probably will bother philosophers and (mathematical) physicists for a long time.