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Quantum Models of Cognition and Decision

Cambridge University Press (2012)

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  1. Beyond the Circle of Life.Gregory Nixon (ed.) - 2017 - New York: QuantumDream.
    It seems certain to me that I will die and stay dead. By “I”, I mean me, Greg Nixon, this person, this self-identity. I am so intertwined with the chiasmus of lives, bodies, ecosystems, symbolic intersubjectivity, and life on this particular planet that I cannot imagine this identity continuing alone without them. However, one may survive one’s life by believing in universal awareness, perfection, and the peace that passes all understanding. Perhaps, we bring this back with us to the Source (...)
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  • Theories of Consciousness & Death.Gregory Nixon (ed.) - 2016 - New York, USA: QuantumDream.
    What happens to the inner light of consciousness with the death of the individual body and brain? Reductive materialism assumes it simply fades to black. Others think of consciousness as indicating a continuation of self, a transformation, an awakening or even alternatives based on the quality of life experience. In this issue, speculation drawn from theoretic research are presented. -/- Table of Contents Epigraph: From “The Immortal”, Jorge Luis Borges iii Editor’s Introduction: I Killed a Squirrel the Other Day, Gregory (...)
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  • Preference reversal in quantum decision theory.Vyacheslav I. Yukalov & Didier Sornette - 2015 - Frontiers in Psychology 6.
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  • Conditions for Quantum Interference in Cognitive Sciences.Vyacheslav I. Yukalov & Didier Sornette - 2014 - Topics in Cognitive Science 6 (1):79-90.
    We present a general classification of the conditions under which cognitive science, concerned, e.g. with decision making, requires the use of quantum theoretical notions. The analysis is done in the frame of the mathematical approach based on the theory of quantum measurements. We stress that quantum effects in cognition can arise only when decisions are made under uncertainty. Conditions for the appearance of quantum interference in cognitive sciences and the conditions when interference cannot arise are formulated.
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  • Risk and Ambiguity in Information Seeking: Eye Gaze Patterns Reveal Contextual Behavior in Dealing with Uncertainty.Peter Wittek, Ying-Hsang Liu, Sándor Darányi, Tom Gedeon & Ik Soo Lim - 2016 - Frontiers in Psychology 7.
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  • Reintroducing the Concept of Complementarity into Psychology.Zheng Wang & Jerome Busemeyer - 2015 - Frontiers in Psychology 6.
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  • Unitary Transformations in the Quantum Model for Conceptual Conjunctions and Its Application to Data Representation.Tomas Veloz & Sylvie Desjardins - 2015 - Frontiers in Psychology 6.
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  • The quantum-like approach to modeling classical rationality violations: an introduction.Franco Vaio - 2019 - Mind and Society 18 (1):105-123.
    Psychological empirical research has shown that human choice behavior often violates the assumptions of classical rational choice models. In the last few decades a new research field has emerged which aims to account for the observed choice behavior by resorting to the concepts and mathematical techniques developed in the realm of quantum physics, such as the “mental state vector” defined in a Hilbert space and the interference of quantum probability. This article is a short introduction to the quantum-like approach to (...)
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  • Mind–Body Connection and Causation: Conceptual and Experimental Advances.Pierre Uzan - 2021 - Foundations of Science 26 (4):901-915.
    This article deals with the difficulties of the yet intuitive causal interpretation of the mind–body connection emphasized by metaphysical, theoretical and experimental considerations. It shows that a decisive contribution to determining the nature of this connection can be provided experimentally. This experimental test is designed within the framework of a general systems theory capable of representing the concepts of complementarity and entanglement that are involved in the description of the mind–body connection.
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  • Bayesian Rationality Revisited: Integrating Order Effects.Pierre Uzan - 2023 - Foundations of Science 28 (2):507-528.
    Bayes’ inference cannot reliably account for uncertainty in mental processes. The reason is that Bayes’ inference is based on the assumption that the order in which the relevant features are evaluated is indifferent, which is not the case in most of mental processes. Instead of Bayes’ rule, a more general, probabilistic rule of inference capable of accounting for these order effects is established. This new rule of inference can be used to improve the current Bayesian models of cognition. Moreover, it (...)
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  • Deciding the Mind–Body Problem Experimentally.Pierre Uzan - 2017 - Axiomathes 27 (4):333-354.
    A Bell-type strategy of decision for the long-standing question of the nature of psychophysical correlations has been previously presented in a recent article published in Mind and Matter. This strategy of decision is here applied to experimental data on psychophysiological correlations, namely, correlations between cardiovascular and emotional variables that have been reported in several independent publications. This statistical analysis shows that a substantial majority of these correlations cannot be interpreted as an exchange of signals or a mere “interaction”, whatever its (...)
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  • Eigenlogic in the Spirit of George Boole.Zeno Toffano - 2020 - Logica Universalis 14 (2):175-207.
    This work presents an operational and geometric approach to logic. It starts from the multilinear elective decomposition of binary logical functions in the original form introduced by George Boole. A justification on historical grounds is presented bridging Boole’s theory and the use of his arithmetical logical functions with the axioms of Boolean algebra using sets and quantum logic. It is shown that this algebraic polynomial formulation can be naturally extended to operators in finite vector spaces. Logical operators will appear as (...)
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  • How Do Social Norms and Expectations About Others Influence Individual Behavior?: A Quantum Model of Self/other-perspective Interaction in Strategic Decision-Making.Jakub Tesar - 2020 - Foundations of Science 25 (1):135-150.
    Social norms can be understood as the grammar of social interaction. Like grammar in speech, they specify what is acceptable in a given context. But what are the specific rules that direct human compliance with the norm? This paper presents a quantitative model of self- and the other-perspective interaction based on a ‘quantum model of decision-making’, which can explain some of the ‘fallacies’ of the classical model of strategic choice. By connecting two fields of social science research—norms compliance, and strategic (...)
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  • Quantum Cognitive Triad: Semantic Geometry of Context Representation.Ilya A. Surov - 2020 - Foundations of Science 26 (4):947-975.
    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 (...)
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  • Natural Code of Subjective Experience.Ilya A. Surov - 2022 - Biosemiotics 15 (1):109-139.
    The paper introduces mathematical encoding for subjective experience and meaning in natural cognition. The code is based on a quantum-theoretic qubit structure supplementing classical bit with circular dimension, functioning as a process-causal template for representation of contexts relative to the basis decision. The qubit state space is demarcated in categories of emotional experience of animals and humans. Features of the resulting spherical map align with major theoreties in cognitive and emotion science, modeling of natural language, and semiotics, suggesting several generalizations (...)
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  • Representing Attitudes Towards Ambiguity in Hilbert Space: Foundations and Applications.Sandro Sozzo - 2020 - Foundations of Science 26 (1):103-128.
    We provide here a general mathematical framework to model attitudes towards ambiguity which uses the formalism of quantum theory as a “purely mathematical formalism, detached from any physical interpretation”. We show that the quantum-theoretic framework enables modelling of the Ellsberg paradox, but it also successfully applies to more concrete human decision-making tests involving financial, managerial and medical decisions. In particular, we elaborate a mathematical representation of various empirical studies which reveal that attitudes of managers towards uncertainty shift from ambiguity seeking (...)
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  • Cognitive Structures of Space-Time.Camilo Miguel Signorelli, Selma Dündar-Coecke, Vincent Wang & Bob Coecke - 2020 - Frontiers in Psychology 11.
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  • Can quantum probability provide a new direction for cognitive modeling?Emmanuel M. Pothos & Jerome R. Busemeyer - 2013 - Behavioral and Brain Sciences 36 (3):255-274.
    Classical (Bayesian) probability (CP) theory has led to an influential research tradition for modeling cognitive processes. Cognitive scientists have been trained to work with CP principles for so long that it is hard even to imagine alternative ways to formalize probabilities. However, in physics, quantum probability (QP) theory has been the dominant probabilistic approach for nearly 100 years. Could QP theory provide us with any advantages in cognitive modeling as well? Note first that both CP and QP theory share the (...)
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  • The computational psychiatry of reward: broken brains or misguided minds?M. Moutoussis, G. W. Story & R. J. Dolan - 2015 - Frontiers in Psychology 6.
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  • Processes of Science and Art Modeled as a Holoflux of Information Using Toroidal Geometry.Dirk K. F. Meijer - 2018 - Open Journal of Philosophy 8 (4):365-400.
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  • Towards the Epistemology of the Non-trivial: Research Characteristics Connecting Quantum Mechanics and First-Person Inquiry.Urban Kordeš & Ema Demšar - 2019 - Foundations of Science 26 (1):187-216.
    The present article discusses shared epistemological characteristics of two distinct areas of research: the field of first-person inquiry and the field of quantum mechanics. We outline certain philosophical challenges that arise in each of the two lines of inquiry, and point towards the central similarity of their observational situation: the impossibility of disregarding the interrelatedness of the observed phenomena with the act of observation. We argue that this observational feature delineates a specific category of research that we call the non-trivial (...)
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  • The triple-store experiment: a first simultaneous test of classical and quantum probabilities in choice over menus.Andrei Khrennikov, Irina Basieva, Eric Guerci, Sébastien Duchêne & Ismaël Rafaï - 2021 - Theory and Decision 92 (2):387-406.
    Recently quantum probability theory started to be actively used in studies of human decision-making, in particular for the resolution of paradoxes (such as the Allais, Ellsberg, and Machina paradoxes). Previous studies were based on a cognitive metaphor of the quantum double-slit experiment—the basic quantum interference experiment. In this paper, we report on an economics experiment based on a triple-slit experiment design, where the slits are menus of alternatives from which one can choose. The test of nonclassicality is based on the (...)
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  • Quantum-like modeling: cognition, decision making, and rationality.Andrei Khrennikov - 2020 - Mind and Society 19 (2):307-310.
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  • Quantum-like model of unconscious–conscious dynamics.Andrei Khrennikov - 2015 - Frontiers in Psychology 6.
  • A Quantum Cognition Analysis of Human Behaviour by Hardy’s Non-locality Argument.Pegah Imannezhad & Ali Ahanj - 2022 - Axiomathes 32 (1):43-52.
    Quantum cognition is an emerging field making uses of quantum theory to model cognitive phenomena which cannot be explained by classical theories. Usually, in cognitive tests, subjects are asked to give a response to a question, but, in this paper, we just observed the subjects’ behaviour and the question and answer method was not applied in order to prevent any mental background on participants’ minds. Finally, we examined the experimental data on Hardy’s non-locality argument, and we noticed the violation of (...)
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  • Entanglement, Symmetry Breaking and Collapse: Correspondences Between Quantum and Self-Organizing Dynamics.Francis Heylighen - 2021 - Foundations of Science 28 (1):85-107.
    Quantum phenomena are notoriously difficult to grasp. The present paper first reviews the most important quantum concepts in a non-technical manner: superposition, uncertainty, collapse of the wave function, entanglement and non-locality. It then tries to clarify these concepts by examining their analogues in complex, self-organizing systems. These include bifurcations, attractors, emergent constraints, order parameters and non-local correlations. They are illustrated with concrete examples that include Rayleigh–Bénard convection, social self-organization and Gestalt perception of ambiguous figures. In both cases, quantum and self-organizing, (...)
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  • The Bell Experiment and the Limitations of Actors.Inge S. Helland - 2022 - Foundations of Physics 52 (3):1-22.
    The well known Bell experiment with two actors Alice and Bob is considered. First the simple deduction leading to the CHSH inequality under local realism is reviewed, and some arguments from the literature are recapitulated. Then I take up certain background themes before I enter a discussion of Alice’s analysis of the situation. An important point is that her mind is limited by the fact that her Hilbert space in this context is two-dimensional. General statements about a mind’s limitation during (...)
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  • The Bayesian boom: good thing or bad?Ulrike Hahn - 2014 - Frontiers in Psychology 5.
  • A Multiple Definitions Model of Classification Into Fuzzy Categories.Thomas M. Gruenenfelder - 2019 - Frontiers in Psychology 10.
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  • Information-Theoretic Interpretation of Quantum Formalism.Michel Feldmann - 2023 - Foundations of Physics 53 (3):1-59.
    We present an information-theoretic interpretation of quantum formalism based on a Bayesian framework and devoid of any extra axiom or principle. Quantum information is construed as a technique for analyzing a logical system subject to classical constraints, based on a question-and-answer procedure. The problem is posed from a particular batch of queries while the constraints are represented by the truth table of a set of Boolean functions. The Bayesian inference technique consists in assigning a probability distribution within a real-valued probability (...)
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  • A Non-Spatial Reality.Massimiliano Sassoli de Bianchi - 2020 - Foundations of Science 26 (1):143-170.
    It is generally assumed, and usually taken for granted, that reality is fully contained in space. However, when taking a closer look at the strange behavior of the entities of the micro-world, we are forced to abandon such a prejudice and recognize that space is just a temporary crystallization of a small theatre for reality, where the material entities can take a place and meet with each other. More precisely, phenomena like quantum entanglement, quantum interference effects and quantum indistinguishability, when (...)
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  • Bayesian Cognitive Science, Monopoly, and Neglected Frameworks.Matteo Colombo & Stephan Hartmann - 2015 - British Journal for the Philosophy of Science 68 (2):451–484.
    A widely shared view in the cognitive sciences is that discovering and assessing explanations of cognitive phenomena whose production involves uncertainty should be done in a Bayesian framework. One assumption supporting this modelling choice is that Bayes provides the best approach for representing uncertainty. However, it is unclear that Bayes possesses special epistemic virtues over alternative modelling frameworks, since a systematic comparison has yet to be attempted. Currently, it is then premature to assert that cognitive phenomena involving uncertainty are best (...)
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  • The Tacit ‘Quantum’ of Meeting the Aesthetic Sign; Contextualize, Entangle, Superpose, Collapse or Decohere.Jan Broekaert - 2018 - Foundations of Science 23 (2):255-266.
    The semantically ambiguous nature of the sign and aspects of non-classicality of elementary matter as described by quantum theory show remarkable coherent analogy. We focus on how the ambiguous nature of the image, text and art work bears functional resemblance to the dynamics of contextuality, entanglement, superposition, collapse and decoherence as these phenomena are known in quantum theory. These quantumlike properties in linguistic signs have previously been identified in formal descritions of e.g. concept combinations and mental lexicon representations and have (...)
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  • Quantum-like models cannot account for the conjunction fallacy.Thomas Boyer-Kassem, Sébastien Duchêne & Eric Guerci - 2016 - Theory and Decision 81 (4):479-510.
    Human agents happen to judge that a conjunction of two terms is more probable than one of the terms, in contradiction with the rules of classical probabilities—this is the conjunction fallacy. One of the most discussed accounts of this fallacy is currently the quantum-like explanation, which relies on models exploiting the mathematics of quantum mechanics. The aim of this paper is to investigate the empirical adequacy of major quantum-like models which represent beliefs with quantum states. We first argue that they (...)
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  • Quantum Bose–Einstein Statistics for Indistinguishable Concepts in Human Language.Lester Beltran - 2021 - Foundations of Science 28 (1):43-55.
    We investigate the hypothesis that within a combination of a ‘number concept’ plus a ‘substantive concept’, such as ‘eleven animals’, the identity and indistinguishability present on the level of the concepts, i.e., all eleven animals are identical and indistinguishable, gives rise to a statistical structure of the Bose–Einstein type similar to how Bose–Einstein statistics is present for identical and indistinguishable quantum particles. We proceed by identifying evidence for this hypothesis by extracting the statistical data from the World-Wide-Web utilizing the Google (...)
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  • Quantum Entanglement in Corpuses of Documents.Lester Beltran & Suzette Geriente - 2019 - Foundations of Science 24 (2):227-246.
    We show that data collected from corpuses of documents violate the Clauser-Horne-Shimony-Holt version of Bell’s inequality and therefore indicate the presence of quantum entanglement in their structure. We obtain this result by considering two concepts and their combination and coincidence operations consisting of searches of co-occurrences of exemplars of these concepts in specific corpuses of documents. Measuring the frequencies of these co-occurrences and calculating the relative frequencies as approximate probabilities entering in the CHSH inequality, we obtain manifest violations of the (...)
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  • On the Possibility to Combine the Order Effect with Sequential Reproducibility for Quantum Measurements.Irina Basieva & Andrei Khrennikov - 2015 - Foundations of Physics 45 (10):1379-1393.
    In this paper we study the problem of a possibility to use quantum observables to describe a possible combination of the order effect with sequential reproducibility for quantum measurements. By the order effect we mean a dependence of probability distributions on the order of measurements. We consider two types of the sequential reproducibility: adjacent reproducibility ) and separated reproducibility). The first one is reproducibility with probability 1 of a result of measurement of some observable A measured twice, one A measurement (...)
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  • Quantum Information Biology: From Information Interpretation of Quantum Mechanics to Applications in Molecular Biology and Cognitive Psychology.Masanari Asano, Irina Basieva, Andrei Khrennikov, Masanori Ohya, Yoshiharu Tanaka & Ichiro Yamato - 2015 - Foundations of Physics 45 (10):1362-1378.
    We discuss foundational issues of quantum information biology —one of the most successful applications of the quantum formalism outside of physics. QIB provides a multi-scale model of information processing in bio-systems: from proteins and cells to cognitive and social systems. This theory has to be sharply distinguished from “traditional quantum biophysics”. The latter is about quantum bio-physical processes, e.g., in cells or brains. QIB models the dynamics of information states of bio-systems. We argue that the information interpretation of quantum mechanics (...)
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  • The Heart of an Image: Quantum Superposition and Entanglement in Visual Perception.Jonito Aerts Arguëlles - 2018 - Foundations of Science 23 (4):757-778.
    We analyse the way in which the principle that ‘the whole is greater than the sum of its parts’ manifests itself with phenomena of visual perception. For this investigation we use insights and techniques coming from quantum cognition, and more specifically we are inspired by the correspondence of this principle with the phenomenon of the conjunction effect in human cognition. We identify entities of meaning within artefacts of visual perception and rely on how such entities are modelled for corpuses of (...)
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  • Spin and Wind Directions II: A Bell State Quantum Model.Diederik Aerts, Jonito Aerts Arguëlles, Lester Beltran, Suzette Geriente, Massimiliano Sassoli de Bianchi, Sandro Sozzo & Tomas Veloz - 2018 - Foundations of Science 23 (2):337-365.
    In the first half of this two-part article, we analyzed a cognitive psychology experiment where participants were asked to select pairs of directions that they considered to be the best example of Two Different Wind Directions, and showed that the data violate the CHSH version of Bell’s inequality, with same magnitude as in typical Bell-test experiments in physics. In this second part, we complete our analysis by presenting a symmetrized version of the experiment, still violating the CHSH inequality but now (...)
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  • Quantum structure of negation and conjunction in human thought.Diederik Aerts, Sandro Sozzo & Tomas Veloz - 2015 - Frontiers in Psychology 6.
  • Quantum theory and human perception of the macro-world.Diederik Aerts - 2014 - Frontiers in Psychology 5.
  • Preface of the Special Issue: International Symposium “Worlds of Entanglement” - Second Part.Diederik Aerts, Massimiliano Sassoli de Bianchi, Sandro Sozzo & Tomas Veloz - 2018 - Foundations of Science 26 (1):1-4.
    We present the fundamentals of the quantum theoretical approach we have developed in the last decade to model cognitive phenomena that resisted modeling by means of classical logical and probabilistic structures, like Boolean, Kolmogorovian and, more generally, set theoretical structures. We firstly sketch the operational-realistic foundations of conceptual entities, i.e. concepts, conceptual combinations, propositions, decision-making entities, etc. Then, we briefly illustrate the application of the quantum formalism in Hilbert space to represent combinations of natural concepts, discussing its success in modeling (...)
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  • Quantum Structure in Cognition: Human Language as a Boson Gas of Entangled Words.Diederik Aerts & Lester Beltran - 2020 - Foundations of Science 25 (3):755-802.
    We model a piece of text of human language telling a story by means of the quantum structure describing a Bose gas in a state close to a Bose–Einstein condensate near absolute zero temperature. For this we introduce energy levels for the words (concepts) used in the story and we also introduce the new notion of ‘cogniton’ as the quantum of human thought. Words (concepts) are then cognitons in different energy states as it is the case for photons in different (...)
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  • Quantum Structure in Cognition: Human Language as a Boson Gas of Entangled Words.Diederik Aerts & Lester Beltran - 2020 - Foundations of Science 25 (3):755-802.
    We model a piece of text of human language telling a story by means of the quantum structure describing a Bose gas in a state close to a Bose–Einstein condensate near absolute zero temperature. For this we introduce energy levels for the words used in the story and we also introduce the new notion of ‘cogniton’ as the quantum of human thought. Words are then cognitons in different energy states as it is the case for photons in different energy states, (...)
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  • Quantum Theory Methods as a Possible Alternative for the Double-Blind Gold Standard of Evidence-Based Medicine: Outlining a New Research Program.Diederik Aerts, Lester Beltran, Suzette Geriente, Massimiliano Sassoli de Bianchi, Sandro Sozzo, Rembrandt Van Sprundel & Tomas Veloz - 2019 - Foundations of Science 24 (2):217-225.
    We motivate the possibility of using notions and methods derived from quantum physics, and more specifically from the research field known as ‘quantum cognition’, to optimally model different situations in the field of medicine, its decision-making processes and ensuing practices, particularly in relation to chronic and rare diseases. This also as a way to devise alternative approaches to the generally adopted double-blind gold standard.
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  • Modeling Human Decision-Making: An Overview of the Brussels Quantum Approach.Diederik Aerts, Massimiliano Sassoli de Bianchi, Sandro Sozzo & Tomas Veloz - 2018 - Foundations of Science 26 (1):27-54.
    We present the fundamentals of the quantum theoretical approach we have developed in the last decade to model cognitive phenomena that resisted modeling by means of classical logical and probabilistic structures, like Boolean, Kolmogorovian and, more generally, set theoretical structures. We firstly sketch the operational-realistic foundations of conceptual entities, i.e. concepts, conceptual combinations, propositions, decision-making entities, etc. Then, we briefly illustrate the application of the quantum formalism in Hilbert space to represent combinations of natural concepts, discussing its success in modeling (...)
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  • Correction to: Preface of the Special Issue: International Symposium “Worlds of Entanglement” - Second Part.Diederik Aerts, Massimiliano Sassoli de Bianchi, Sandro Sozzo & Tomas Veloz - 2018 - Foundations of Science 26 (1):5-5.
    A correction to this paper has been published: https://doi.org/10.1007/s10699-021-09793-2.
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  • Quantum Approaches to Consciousness.Harald Atmanspacher - 2006 - Stanford Encyclopedia of Philosophy.
    It is widely accepted that consciousness or, more generally, mental activity is in some way correlated to the behavior of the material brain. Since quantum theory is the most fundamental theory of matter that is currently available, it is a legitimate question to ask whether quantum theory can help us to understand consciousness. Several approaches answering this question affirmatively, proposed in recent decades, will be surveyed. It will be pointed out that they make different epistemological assumptions, refer to different neurophysiological (...)
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  • Can resources save rationality? ‘Anti-Bayesian’ updating in cognition and perception.Eric Mandelbaum, Isabel Won, Steven Gross & Chaz Firestone - 2020 - Behavioral and Brain Sciences 143:e16.
    Resource rationality may explain suboptimal patterns of reasoning; but what of “anti-Bayesian” effects where the mind updates in a direction opposite the one it should? We present two phenomena — belief polarization and the size-weight illusion — that are not obviously explained by performance- or resource-based constraints, nor by the authors’ brief discussion of reference repulsion. Can resource rationality accommodate them?
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