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Quantum-like modeling of cognition
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
2015 (English)In: Frontiers in Physics, E-ISSN 2296-424X, Vol. 3, 77Article in journal (Refereed) Published
Abstract [en]

This paper begins with a historical review of the mutual influence of physics and psychology, from Freud's invention of psychic energy inspired by von Boltzmann' thermodynamics to the enrichment quantum physics gained from the side of psychology by the notion of complementarity (the invention of Niels Bohr who was inspired by William James), besides we consider the resonance of the correspondence between Wolfgang Pauli and Carl Jung in both physics and psychology. Then we turn to the problem of development of mathematical models for laws of thought starting with Boolean logic and progressing toward foundations of classical probability theory. Interestingly, the laws of classical logic and probability are routinely violated not only by quantum statistical phenomena but by cognitive phenomena as well. This is yet another common feature between quantum physics and psychology. In particular, cognitive data can exhibit a kind of the probabilistic interference effect. This similarity with quantum physics convinced a multi-disciplinary group of scientists (physicists, psychologists, economists, sociologists) to apply the mathematical apparatus of quantum mechanics to modeling of cognition. We illustrate this activity by considering a few concrete phenomena: the order and disjunction effects, recognition of ambiguous figures, categorization-decision making. In Appendix 1 of Supplementary Material we briefly present essentials of theory of contextual probability and a method of representations of contextual probabilities by complex probability amplitudes (solution of the “inverse Born's problem”) based on a quantum-like representation algorithm (QLRA).

Place, publisher, year, edition, pages
2015. Vol. 3, 77
National Category
Psychology (excluding Applied Psychology) Other Physics Topics Other Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-61493DOI: 10.3389/fphy.2015.00077OAI: oai:DiVA.org:lnu-61493DiVA: diva2:1083370
Available from: 2017-03-21 Created: 2017-03-21 Last updated: 2017-03-21Bibliographically approved

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Khrennikov, Andrei
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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
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  • nn-NB
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