It is shown that a lack of knowledge about the measurements of a physical system gives rise
to a nonclassical probability calculus for this physical system. It is also shown that the …

An argument, due originally to JS Bell, is somewhat simplified and made more specific. It
deals primarily with a quantum mechanical system consisting of the spins of two spin-½ …

It is shown that quantum mechanics cannot be formulated as a stochastic theory involving a
probability distribution function of position and momentum. This is done by showing that the …

This book compares various approaches to the interpretation of quantum mechanics, in
particular those which are related to the key words" the Copenhagen interpretation"," the …

We endeavour to show that, contrary to many claims in the literature, it is not possible to
deduce the quantum probability rule by considering many copies of a system and using the …

A physically natural generalization of the notion of observable that encompasses both the
classical and the quantum ones is derived. Based on it, the idea of the classical extension of …

The set of all pair (and in fact higher-order) distributions that are representable in quantum
mechanics is characterized and compared with the classical range. Various interference …

The mathematical structure of quantum mechanics suggests the definition of a generalized
probability space, consisting of the lattice of projections of a von Neumann algebra and a …

The fundamental problem considered is that of the existence of a joint probability distribution
for momentum and position at a given instant. The philosophical interest of this problem is …

The abstract theory of probability and its interpretation are briefly reviewed, and it is explicitly
demonstrated that the formalism of quantum mechanics satisfies the axioms of probability …