Snow Queen Is Evil and Beautiful: Experimental Evidence for Probabilistic Contextuality in Human Choices

We present unambiguous experimental evidence for (quantum-like) probabilistic contextuality in psychology. All previous attempts to find contextuality in a psychological experiment were unsuccessful because of the gross violations of marginal selectivity in behavioral data, making the traditional mathematical tests developed in quantum mechanics inapplicable. In our crowdsourcing experiment, respondents were making two simple choices: of one of two characters in a story (The Snow Queen by Hans Christian Andersen), and of one of two characteristics, such as Kind and Evil, so that the character and the characteristic chosen matched the story line. The formal structure of the experiment imitated that of the Einstein-Podolsky-Rosen paradigm in the Bohm-Bell version. Marginal selectivity was violated, indicating that the two choices were directly influencing each other, but the application of a mathematical test developed in the Contextuality-by-Default theory, extending the traditional quantum-mechanical test, indicated a strong presence of contextuality proper, not reducible to direct influences.

[1]  Thomas Filk.  It is the Theory Which Decides What We Can Observe (Einstein) , 2016 .

[2]  Ehtibar N. Dzhafarov,et al.  Exploration of Contextuality in a Psychophysical Double-Detection Experiment , 2016, QI.

[3]  Jan-Åke Larsson,et al.  Necessary and Sufficient Conditions for an Extended Noncontextuality in a Broad Class of Quantum Mechanical Systems. , 2014, Physical review letters.

[4]  Diederik Aerts,et al.  Concepts and Their Dynamics: A Quantum-Theoretic Modeling of Human Thought , 2012, Top. Cogn. Sci..

[5]  Andrei Khrennikov.  Probability and Randomness: Quantum Versus Classical , 2016 .

[6]  R. Hetherington.  The Perception of the Visual World , 1952 .

[7]  Guillaume Adenier,et al.  Is the fair sampling assumption supported by EPR experiments , 2007 .

[8]  J. Gibson.  The concept of the stimulus in psychology. , 1960 .

[9]  Ehtibar N. Dzhafarov,et al.  On Selective Influences, Marginal Selectivity, and Bell/CHSH Inequalities , 2012, Top. Cogn. Sci..

[10]  Diederik Aerts,et al.  Quantum theory and human perception of the macro-world , 2014, Front. Psychol..

[11]  Richard M. Shiffrin,et al.  Context effects produced by question orders reveal quantum nature of human judgments , 2014, Proceedings of the National Academy of Sciences.

[12]  Ehtibar N. Dzhafarov,et al.  Contextuality in canonical systems of random variables , 2017, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[13]  Ehtibar N. Dzhafarov,et al.  Contextuality is about identity of random variables , 2014, 1405.2116.

[14]  Ehtibar N. Dzhafarov,et al.  Contextuality-by-Default 2.0: Systems with Binary Random Variables , 2016, QI.

[15]  Jan-AAke Larsson,et al.  Contextuality in Three Types of Quantum-Mechanical Systems , 2014, 1411.2244.

[16]  J. Busemeyer,et al.  Quantum cognition: a new theoretical approach to psychology , 2015, Trends in Cognitive Sciences.

[17]  Samson Abramsky,et al.  The sheaf-theoretic structure of non-locality and contextuality , 2011, 1102.0264.

[18]  J. Bell.  On the Einstein-Podolsky-Rosen paradox , 1964 .

[19]  Ehtibar N. Dzhafarov,et al.  Proof of a Conjecture on Contextuality in Cyclic Systems with Binary Variables , 2015, 1503.02181.

[20]  Yoshiharu Tanaka,et al.  Violation of contextual generalization of the Leggett–Garg inequality for recognition of ambiguous figures , 2014, 1401.2897.

[21]  Peter Bruza,et al.  Is There Something Quantum-Like about the Human Mental Lexicon? , 2009, INEX.

[22]  Jerome R. Busemeyer,et al.  A Quantum Question Order Model Supported by Empirical Tests of an A Priori and Precise Prediction , 2013, Top. Cogn. Sci..

[23]  Ru Zhang,et al.  Is there contextuality in behavioural and social systems? , 2015, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[24]  D. Bohm,et al.  Discussion of Experimental Proof for the Paradox of Einstein, Rosen, and Podolsky , 1957 .

[25]  Diederik Aerts,et al.  Spin and Wind Directions I: Identifying Entanglement in Nature and Cognition , 2015, Foundations of Science.

[26]  Janne Kujala,et al.  Probabilistic foundations of contextuality , 2016, 1604.08412.

[27]  Ehtibar N. Dzhafarov,et al.  Contextuality-by-Default: A Brief Overview of Ideas, Concepts, and Terminology , 2015, QI.

[28]  A. Shimony,et al.  Proposed Experiment to Test Local Hidden Variable Theories. , 1969 .

[29]  Laurianne Sitbon,et al.  A probabilistic framework for analysing the compositionality of conceptual combinations , 2013, ArXiv.

[30]  Guillaume Adenier,et al.  Test of the no‐signaling principle in the Hensen loophole‐free CHSH experiment , 2016, 1606.00784.

[31]  S. Popescu,et al.  Quantum nonlocality as an axiom , 1994 .

[32]  Ehtibar N. Dzhafarov,et al.  Testing Contextuality in Cyclic Psychophysical Systems of High Ranks , 2016, QI.

[33]  Matt Jones,et al.  On contextuality in behavioural data , 2016, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[34]  Ehtibar N. Dzhafarov,et al.  Context-Content Systems of Random Variables: The Contextuality-by-Default Theory , 2015, 1511.03516.

[35]  Ehtibar N. Dzhafarov,et al.  Conversations on Contextuality , 2015 .

[36]  Víctor H. Cervantes,et al.  Advanced Analysis of Quantum Contextuality in a Psychophysical Double-Detection Experiment , 2016, 1611.04184.

[37]  A. Fine.  Hidden Variables, Joint Probability, and the Bell Inequalities , 1982 .

[38]  Víctor H. Cervantes,et al.  Contextuality from Quantum Physics to Psychology , 2016 .