 Impossibility results often bear a negative flavor. However, they also indicate possible escape routes. Consistent collective outcomes can be obtained when the universal domain condition is relaxed (considering, for example, unidimensionally aligned profiles (List 2002), a conditions similar to Black’s single-peakedness in preference aggregation (Black 1948)) or when the collective rationality condition is limited to require consistent (but not complete) collective judgments. Possibility results are also obtained when the independence condition is relaxed. The premise-based procedure seen in the court’s case is an example of an aggregation rule that violates independence. There, the collective position on the conclusion is derived by logical implication from the majority judgments on the premises. More in general, sequential priority rules violate independence and guarantee consistent group positions: the elements of the agenda are aggregated following a pre-fixed order, and earlier decisions constrain later ones. The reader is referred to (List and Puppe 2009; List 2013; Grossi and Pigozzi 2014; Endriss 2016) for thorough introductions to judgment aggregation and an overview on more impossibility theorems as well as on escapes routes from such results. In the next section we introduce the problem of combining conflicting information as it has been addressed in computer science. We will see that some operators introduced in belief merging are instances of aggregation procedures that violate the independence condition and that such operators can be applied to hold concrete aggregation procedures to judgment aggregation problems.