Probability semantics for quantifier logic

By supplying propositional calculus with a probability semantics we showed in our 1996, that finite stochastic problems can be treated by logic-theore tic means equally as well as by the usual set-theoretic ones. In the presen t paper we continue the investigation to further the use of logical notions in probability theory. It is shown that quantifier logic, when supplied wi th a probability semantics, is capable of treating stochastic problems invo lving countably many trials.