Quantum Structure in Cognition: Why and How Concepts Are Entangled

  • Diederik Aerts
  • Sandro Sozzo
Conference paper

DOI: 10.1007/978-3-642-24971-6_12

Part of the Lecture Notes in Computer Science book series (LNCS, volume 7052)
Cite this paper as:
Aerts D., Sozzo S. (2011) Quantum Structure in Cognition: Why and How Concepts Are Entangled. In: Song D., Melucci M., Frommholz I., Zhang P., Wang L., Arafat S. (eds) Quantum Interaction. QI 2011. Lecture Notes in Computer Science, vol 7052. Springer, Berlin, Heidelberg

Abstract

One of us has recently elaborated a theory for modelling concepts that uses the state context property (SCoP) formalism, i.e. a generalization of the quantum formalism. This formalism incorporates context into the mathematical structure used to represent a concept, and thereby models how context influences the typicality of a single exemplar and the applicability of a single property of a concept, which provides a solution of the Pet-Fish problem and other difficulties occurring in concept theory. Then, a quantum model has been worked out which reproduces the membership weights of several exemplars of concepts and their combinations. We show in this paper that a further relevant effect appears in a natural way whenever two or more concepts combine, namely, entanglement. The presence of entanglement is explicitly revealed by considering a specific example with two concepts, constructing some Bell’s inequalities for this example, testing them in a real experiment with test subjects, and finally proving that Bell’s inequalities are violated in this case. We show that the intrinsic and unavoidable character of entanglement can be explained in terms of the weights of the exemplars of the combined concept with respect to the weights of the exemplars of the component concepts.

Keywords

Concept combination Bell’s inequalities entanglement quantum cognition 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Diederik Aerts
    • 1
  • Sandro Sozzo
    • 1
  1. 1.Center Leo Apostel for Interdisciplinary StudiesVrije Universiteit BrusselBrusselsBelgium

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