Ultralogics and probability models.
Un contre-exemple touchant à l'indépendance
Un point de priorité
Une remarque sur la construction de noyaux
Une remarque sur le lemme de Borel-Cantelli
Upgrading Probability via Fractions of Events
The influence of “Grundbegriffe” by A. N. Kolmogorov (published in 1933) on education in the area of probability and its impact on research in stochastics cannot be overestimated. We would like to point out three aspects of the classical probability theory “calling for“ an upgrade: (i) classical random events are black-and-white (Boolean); (ii) classical random variables do not model quantum phenomena; (iii) basic maps (probability measures and observables – dual maps to random variables) have very...