Logical puzzles like the doctrinal paradox raise the problem of how to aggregate individual judgements into a collective judgement, or alternatively, how to merge collectively inconsistent knowledge bases. In this paper, we view judgement aggregation as a function on propositional logic valuations, and we investigate how logic constrains judgement aggregation. In particular, we show that there is no non-dictatorial decision method for aggregating sets of judgements in a logically consistent way if the decision method is local, i.e., only depends on the individual judgements on the proposition under consideration. © Springer 2006.
Pauly, M., & Van Hees, M. (2006). Logical constraints on judgement aggregation. Journal of Philosophical Logic, 35(6), 569–585. https://doi.org/10.1007/s10992-005-9011-x