What is the relationship between degrees of belief and (all-or-nothing) beliefs? Can the latter be expressed as a function of the former, without running into paradoxes? We reassess this “belief-binarization” problem from the perspective of judgmentaggregation theory. Although some similarities between belief binarization and judgment aggregation have been noted before, the literature contains ...

Kinglsey Martin has 25 years experience in field of legal practice, including 15 years dedicated to law office technology. Martin started his professional career as a lawyer, having graduated with law degrees from Oxford University and Harvard Law School. He practiced law in the United Kingdom and the United States for five years, specializing in tax law. Martin has worked with a number of law ...

A general model of judgment aggregation is presented in which judgments on propositions are not binary but come in degrees. The primitives of the model are a set of propositions, an entailment relation, and a “triangular norm” which establishes a lower bound on the degree to which a proposition is true whenever it is entailed by a set of propositions. For an important class of agendas, we ident...