Interpreting Infinite Numbers

The mathematical concept of infinity, in the sense Cantor, is rather far from applied mathematics and statistics. These fields can be linked. We comment on properties infinite numbers relate them to some operations with random variables. existence statistical parametric models studied terms cardinal numbers. Some probabilistic interpretations Gödel’s theorem, Turing’s halting problem, Banach-Tarski paradox are commented upon, as well axiom choice continuum hypothesis. use a basic but sufficient level.