QUANTUM PARADOXES AND THE PROBLEM OF MOMENTS

Quantum paradoxes, such as the violation of Bell inequalities, the Koc hen-Specker theorem, etc., which prove that classical notions are inap plicable for the description of quantum objects, are reviewed. Specifi c features of the analyzed paradoxes are associated with the possibili ty of their experimental demonstration. The employed universal formal description reveals the unified mathematical nature of all the paradox es of this type. From this point of view, various modifications of the Bell theorem can be considered as particular criteria of the existenc e of a nonnegative solution to the multidimensional problem of moments .