Summing up, there are several arguments showing that statistical inference by Bayes' theorem, or by Bayes' rule, is objectively correct. These arguments invite us to consider Bayesian statistics as an instance of probabilistic logic.  Such appeals to the logicality of Bayesian statistical inference may provide a partial remedy for its subjective character. Moreover, a logical approach to the statistical inferences avoids the problem that the formalism places unrealistic demands on the agents, and that it presumes the agent to have certain knowledge. Much like in deductive logic, we need not assume that the inferences are psychologically realistic, nor that the agents actually believe the premises of the arguments. Rather the arguments present the agents with a normative ideal and take the conditional form of consistency constraints: if you accept the premises, then these are the conclusions.