Interpretations of probability

the long version

"This is the second and revised edition of the first fundamental book devoted to non-Kolmogorov probability models. In particular, it provides a mathematical theory of frequency probabilities (generalization of von Mises' approach), with applications to quantum physics, complexity, biology and psychology. Another nonconventional probabilistic model in the model with p-adic valued probabilities which proves to be useful in non-Archimedean theoretical physics, including superstring theory and quantum cosmology. In this framework negative probabilities can be introduced on the rigorous mathematical basis as (generalized) frequency probabilities."--Jacket.