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Systematic judgment aggregators: An algebraic connection between social and logical structure Eckert, Daniel Herzberg, Frederik Judgment aggregation; social structure; Boolean homorphism; ultraproduct We present several results that show that systematic (complete) judgment aggregators can be viewed as both (2-valued) Boolean homomorphisms and as syntatic versions of reduced (ultra)products. Thereby, Arrovian judgment aggregators link the Boolean algebraic structures of (i) the set of coalitions (ii) the agenda, and (iii) the set of truth values of collective judgments. Since filters arise naturally in the context of Boolean algebras, these findings provide an explanation for the extraordinary effectiveness of the filter method in abstract aggregation theory. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Daniel Eckert and Frederik Herzberg 2009 Is Part Of Dagstuhl Seminar Proceedings, Volume 9351, Information processing, rational belief change and social interaction (2009) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/DagSemProc.09351.9 urn:nbn:de:0030-drops-22302 https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.09351.9 eng https://creativecommons.org/licenses/by/4.0/legalcode