  A logic is defined that allows to express information about statistical
probabilities and about degrees of belief in specific propositions. By
interpreting the two types of probabilities in one common probability space,
the semantics given are well suited to model the influence of statistical
information on the formation of subjective beliefs. Cross entropy minimization
is a key element in these semantics, the use of which is justified by showing
that the resulting logic exhibits some very reasonable properties.
