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Quantum structure and human thought

  • Diederik Aerts (a1), Jan Broekaert (a1), Liane Gabora (a2) and Sandro Sozzo (a1)

We support the authors' claims, except that we point out that also quantum structure different from quantum probability abundantly plays a role in human cognition. We put forward several elements to illustrate our point, mentioning entanglement, contextuality, interference, and emergence as effects, and states, observables, complex numbers, and Fock space as specific mathematical structures.

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D. Aerts (1986) A possible explanation for the probabilities of quantum mechanics. Journal of Mathematical Physics 27:202–10.

D. Aerts (2009) Quantum structure in cognition. Journal of Mathematical Psychology 53:314–48.

D. Aerts (2011) Quantum interference and superposition in cognition: Development of a theory for the disjunction of concepts. In: Worldviews, science and us: Bridging knowledge and its implications for our perspectives of the world, ed. D. Aerts , J. Broekaert , B. D'Hooghe & N. Note , pp. 169211. World Scientific.

D. Aerts & S. Aerts (1995) Applications of quantum statistics in psychological studies of decision processes. Foundations of Science 1:8597.

D. Aerts & B. D'Hooghe (2009) Classical logical versus quantum conceptual thought: Examples in economics, decision theory and concept theory. Lecture Notes in Computer Science 5494:128–42.

D. Aerts , T. Durt , A. Grib , B. Van Bogaert & A. Zapatrin (1993) Quantum structures in macroscopical reality. International Journal of Theoretical Physics 32:489–98.

D. Aerts & L. Gabora (2005a) A theory of concepts and their combinations I: The structure of the sets of contexts and properties. Kybernetes 34:167–91.

D. Aerts & L. Gabora (2005b) A theory of concepts and their combinations II: A Hilbert space representation. Kybernetes 34:192221.

D. Aerts & S. Sozzo (2011a) Quantum structure in cognition: Why and how concepts are entangled. Lecture Notes in Computer Science 7052:116–27.

A. Einstein , B. Podolsky & N. Rosen (1935) Can quantum-mechanical description of physical reality be considered complete? Physical Review 47:777–80.

L. Gabora & D. Aerts (2002) Contextualizing concepts using a mathematical generalization of the quantum formalism. Journal of Experimental and Theoretical Artificial Intelligence 14:327–58.

J. A. Hampton (1988a) Disjunction of natural concepts. Memory & Cognition 16:579–91.

D. Osherson & E. Smith (1981) On the adequacy of prototype theory as a theory of concepts. Cognition 9:3558.

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Behavioral and Brain Sciences
  • ISSN: 0140-525X
  • EISSN: 1469-1825
  • URL: /core/journals/behavioral-and-brain-sciences
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