Introduction—Epistemology and Probability in Quantum Theory: Physics, Mathematics, and Philosophy
The introduction offers an outline of, as I shall term it here, the “nonclassical” epistemology of quantum mechanics and the corresponding view of quantum probability, which, jointly, ground the argument of this study. It also discusses the relationships among physics, philosophy, and mathematics from this perspective. Sections 1.1 and 1.2 give a general philosophical outline of nonclassical epistemology and the corresponding view of probability. Section 1.3 considers the relationships among physics, mathematics, and philosophy in quantum mechanics from this epistemological perspective. Section 1.4 offers a discussion of concepts, including the very idea, or concept, of concept, in physics, mathematics, and philosophy. I conclude in Section 1.5 with a discussion of the role of interpretation in quantum mechanics, and of the possible differences between Bohr’s and the present views concerning the status of the two respective interpretations of quantum mechanics.