The Concept of Quantum Logic: mathematical and philosophical aspects
Quantum logic is the logic of quantum computing. Its feature, as compared with the logic of the recursive computation carried out by classical computers, consists in the fact that it has to do with expected value. The expected value is a probabilistic prediction of the future, of future events. Hence the integral connection of quantum logic with time. But this time is not the mechanically-levelled time, but, rather, existential time. In the field of mathematical creativity specifics of existential time reflected in a descriptive set theory of N. N. Luzin.