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  1. 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 Bose–Einstein Statistics for Indistinguishable Concepts in Human Language.Lester Beltran - forthcoming - Foundations of Science:1-13.
    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 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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  • 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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  • 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 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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  • Modeling Human Decision-Making: An Overview of the Brussels Quantum Approach.Diederik Aerts, Massimiliano Sassoli de Bianchi, Sandro Sozzo & Tomas Veloz - 2021 - 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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  • 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.
  • Generalizing Prototype Theory: A Formal Quantum Framework.Diederik Aerts, Jan Broekaert, Liane Gabora & Sandro Sozzo - 2016 - Frontiers in Psychology 7.
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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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