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The (virtual) conceptual necessity of quantum probabilities in cognitive psychology
Reinhard Blutner1, Peter beim Graben
1ILLC, Universiteit van Amsterdam, Amsterdam, 1090 GE, The Netherlands. k.r.blutner@uva.nl
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).
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