The theorem of existence of the ruptures in the probability scale was proved in 2010. The theorem is used to analyze …, including application of the theorem. Its most significant result: when uncertainty increases, then taking the theorem into …

A theorem of existence of ruptures in the probability scale has been proven. The theorem can be used, e.g., in …

The principle of uncertain future: the probability of a future event contains an (hidden) uncertainty. The first … probability system of a future event is incomplete. The second consequence provides a solution of the incompleteness of systems of … preferences, of ambiguity aversion, of the Ellsberg paradox, etc. …

The theorem of existence of the ruptures in the probability scale has been proved for a discrete case. The theorem can …

The development of probability theory together with the Bayesian approach in the three last centuries is caused by two …, 2007], the nature of these key factors is so various, that their descriptions are required special uncertainty theories …, which differ from the probability theory and the Bayesian credo, and provide a better account of the various facets of …

and of the probability scale. The theorems can be used, e.g., in economics and forecasting. …

The theorem of existence of ruptures in the probability scale has been proved. The theorem can be used, e.g., in …

The article raises the question of possible existence of ruptures, gaps in the probability scale which are caused by … standard probability distributions. …

-zero dispersion of the function is proved. The theorem has an applied character. It is aimed to be used in the probability theory and …