title: The (virtual) conceptual necessity of quantum probabilities in cognitive psychology.
abstract: We propose a way in which Pothos & Busemeyer (P&B) could strengthen their position. Taking a dynamic stance, we consider cognitive tests as functions that transfer a given input state into the state after testing. Under very general conditions, it can be shown that testable properties in cognition form an orthomodular lattice. Gleason's theorem then yields the conceptual necessity of quantum probabilities (QP).
authors.affiliation: ILLC, Universiteit van Amsterdam, Amsterdam, 1090 GE, The Netherlands. k.r.blutner@uva.nl
authors.forename: Reinhard
authors.initials: R
authors.lastname: Blutner
authors.forename: Peter
authors.initials: P
authors.lastname: beim Graben
mesh_terms: D003071:Cognition; D006801:Humans; D008960:Models, Psychological; D011338:Probability Theory; D011789:Quantum Theory