Quantum Cognitive Triad: Semantic Geometry of Context Representation
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Quantum Cognitive Triad: Semantic Geometry of Context Representation Ilya A. Surov1 Accepted: 6 October 2020 © Springer Nature B.V. 2020
Abstract The paper describes an algorithm for semantic representation of behavioral contexts relative to a dichotomic decision alternative. The contexts are represented as quantum qubit states in two-dimensional Hilbert space visualized as points on the Bloch sphere. The azimuthal coordinate of this sphere functions as a one-dimensional semantic space in which the contexts are accommodated according to their subjective relevance to the considered uncertainty. The contexts are processed in triples defined by knowledge of a subject about a binary situational factor. The obtained triads of context representations function as stable cognitive structure at the same time allowing a subject to model probabilistically-variative behavior. The developed algorithm illustrates an approach for quantitative subjectivelysemantic modeling of behavior based on conceptual and mathematical apparatus of quantum theory. Keywords Semantics and meaning · Contextuality · Quantum cognition · Subjectivity · Quantum phase · Behavioral modeling · Qubit
1 Introduction Science begins when one starts to quantify. This truth underlying metrological work of Mendeleev (1950) is relevant for current understandings of behavioral and cognitive motivations (Freud 1923; Adler 1923), traits of perception and thinking (James 1890; Young 2016), classification of personalities (Jung 1921; Bukalov et al. 2005), and systematization of unconscious cognition (Jung 2014; Westen 1999; Augusto 2010) which do not imply any quantitative measure. This is typical for a «preparadigmatic» state of psychological science distinguished by separated research and practice, divergent conceptual orientations, and little consent on foundational terms (Melchert 2016; Goldfried 2019; Zagaria et al. 2020). Metrological deficiency of psychology scales to the collective level. Even when certain agreement on terms and procedures is reached, repeatability of experiments, as compared to physics, is strikingly low (Collaboration 2015; Camerer et al. 2018). Development of * Ilya A. Surov [email protected] 1
ITMO University, St. Petersburg, Russia
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practical psychology, reliable social and economical engineering in this scientific paradigm is therefore recognized as problematic (Ball 2006; Bouchaud 2008; Krugman 2009; Lilienfeld 2012; Ferguson 2015; Smedslund 2016). This situation of antagonism between «humanities and sciences» is recognized as a call for development of integrative approach linking these domains of knowledge (Ministry of Education 2015). Akin to diverse families of archaic measures of lengths, volumes and weights revised by Mendeleev, contemporary concepts of psychology and sociology are to be reconciled with measuring procedures and quantitative terms.
1.1 Classical Behaviorism Quantification of humanitarian sciences was attempted by Pavlov, Sechenov, Watson and Fechner who renounced i
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