Quantum-like Modeling of Cognition

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 invent...

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Main Author: Andrei eKhrennikov
Format: Article
Language:English
Published: Frontiers Media S.A. 2015-09-01
Series:Frontiers in Physics
Subjects:
Online Access:http://journal.frontiersin.org/Journal/10.3389/fphy.2015.00077/full
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author Andrei eKhrennikov
author_facet Andrei eKhrennikov
author_sort Andrei eKhrennikov
collection DOAJ
description 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 towards 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 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).
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spelling doaj.art-1cdaf8821cb645958fb220e8406abe1c2022-12-22T00:10:16ZengFrontiers Media S.A.Frontiers in Physics2296-424X2015-09-01310.3389/fphy.2015.00077161073Quantum-like Modeling of CognitionAndrei eKhrennikov0Linnaeus UniversityThis 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 towards 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 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).http://journal.frontiersin.org/Journal/10.3389/fphy.2015.00077/fullCognitionPsychologyQuantum-like modelsTwo Slit ExperimentOrder and Disjunction Effects
spellingShingle Andrei eKhrennikov
Quantum-like Modeling of Cognition
Frontiers in Physics
Cognition
Psychology
Quantum-like models
Two Slit Experiment
Order and Disjunction Effects
title Quantum-like Modeling of Cognition
title_full Quantum-like Modeling of Cognition
title_fullStr Quantum-like Modeling of Cognition
title_full_unstemmed Quantum-like Modeling of Cognition
title_short Quantum-like Modeling of Cognition
title_sort quantum like modeling of cognition
topic Cognition
Psychology
Quantum-like models
Two Slit Experiment
Order and Disjunction Effects
url http://journal.frontiersin.org/Journal/10.3389/fphy.2015.00077/full
work_keys_str_mv AT andreiekhrennikov quantumlikemodelingofcognition