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The (virtual) conceptual necessity of quantum probabilities in cognitive psychology

Published online by Cambridge University Press:  14 May 2013

Reinhard Blutner  and
Peter beim Graben
Reinhard Blutner
Affiliation:
ILLC, Universiteit van Amsterdam, Amsterdam, 1090 GE, The Netherlands. k.r.blutner@uva.nlhttp://www.blutner.de/
Peter beim Graben
Affiliation:
Department German Language and Linguistics, Humboldt Universität zu Berlin, 10099 Berlin, Germany. prbeimgraben@googlemail.comhttp://www.beimgraben.info/
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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).

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 36 , Issue 3 , June 2013 , pp. 280 - 281
Copyright
Copyright © Cambridge University Press 2013 

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