 A combination of judgment sets across the individuals, \(\langle J_1, J_2 , \ldots ,J_n\rangle\), is called a profile. A judgment aggregation rule, \(F\), is a function that assigns to each profile \(\langle J_1, J_2 , \ldots ,J_n\rangle\) (in some domain of admissible profiles) a collective judgment set \(J = F(J_1, J_2 , \ldots ,J_n) \subseteq X\), interpreted as the set of propositions accepted by the group as a whole. As before, when \(F\) is clear from the context, we write \(J\) for the collective judgment set corresponding to \(\langle J_1, J_2 , \ldots ,J_n\rangle\). Again, for generality, we build no rationality requirement on \(J\) (such as consistency or completeness) into the definition of a judgment aggregation rule.