Logic aggregation

Abstract

We study the possibility and impossibility of aggregating logics, which may come from different sources (individuals, agents, groups, societies, cultures). A logic is treated as a binary relation between sets of formulas and formulas (or a set of accepted arguments). Logic aggregation is treated as argument-wise. We prove that certain logical properties can be preserved by some desired aggregation functions, while some other logical properties cannot be preserved together under non-degenerate aggregation functions, as long as some natural conditions for the aggregation function are satisfied. We compare our framework of logic aggregation with other aggregation frameworks, including preference aggregation and judgment aggregation. © 2013 Springer-Verlag.