  Both, Bayes Theorem and the cMPE-Method serve for establishing relations
between systems of probabilities. By the cMPE-Method non-conditional
probabilities are added, by the DPE-Method, they are subtracted, however, in
both versions allowing for the non-linearity of non-disjunctive probabilities.
Semantic independence is prerequisite. As compared with the results of
semantically homogeneous series of observations, the variety of evidence
permits arrival at higher probabilities. The advantage of the Bayesian method
lies in allowing for evidence extraneous to the domain covered by the
hypothesis. We must differentiate between extensional and weight-bearing
evidence. Operations based on purely weight-bearing evidence (cMPE-Method)
neglect the extensional evidence and some operations according to Bayes Theorem
may neglect weight-bearing evidence at least partially. These and some other
shortcomings may be remedied by operations, combining both of the approaches.
