Logical Constraints on Judgement Aggregation |
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Authors: | Marc Pauly Martin van Hees |
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Institution: | (1) Department of Philosophy, Stanford University, Palo Alto, CA, USA;(2) Department of Philosophy, University of Groningen, Groningen, The Netherlands |
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Abstract: | 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. |
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