Some observations about generalized quantifiers in logics of imperfect information

Fausto Barbero

Published 2017-09-21Version 1

We analyze the definitions of generalized quantifiers of imperfect information that have been proposed by F.Engstr\"om. We argue that these definitions are just embeddings of the first-order generalized quantifiers into team semantics, and fail to capture an adequate notion of team-theoretical generalized quantifier, save for the special cases in which the quantifiers are applied to flat formulas. We also criticize the meaningfulness of the monotone/nonmonotone distinction in this context. We make some proposals for a more adequate definition of generalized quantifiers of imperfect information.