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  1. Comparing the axiomatic and ecological approaches to rationality: fundamental agreement theorems in SCOP.Patricia Rich - 2018 - Synthese 195 (2):529-547.
    There are two prominent viewpoints regarding the nature of rationality and how it should be evaluated in situations of interest: the traditional axiomatic approach and the newer ecological rationality. An obstacle to comparing and evaluating these seemingly opposite approaches is that they employ different language and formalisms, ask different questions, and are at different stages of development. I adapt a formal framework known as SCOP to address this problem by providing a comprehensive common framework in which both approaches may be (...)
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  • The Potential of Using Quantum Theory to Build Models of Cognition.Zheng Wang, Jerome R. Busemeyer, Harald Atmanspacher & Emmanuel M. Pothos - 2013 - Topics in Cognitive Science 5 (4):672-688.
    Quantum cognition research applies abstract, mathematical principles of quantum theory to inquiries in cognitive science. It differs fundamentally from alternative speculations about quantum brain processes. This topic presents new developments within this research program. In the introduction to this topic, we try to answer three questions: Why apply quantum concepts to human cognition? How is quantum cognitive modeling different from traditional cognitive modeling? What cognitive processes have been modeled using a quantum account? In addition, a brief introduction to quantum probability (...)
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  • Beyond subgoaling: A dynamic knowledge generation framework for creative problem solving in cognitive architectures.Antonio Lieto - 2019 - Cognitive Systems Research 58:305-316.
    In this paper we propose a computational framework aimed at extending the problem solving capabilities of cognitive artificial agents through the introduction of a novel, goal-directed, dynamic knowledge generation mechanism obtained via a non monotonic reasoning procedure. In particular, the proposed framework relies on the assumption that certain classes of problems cannot be solved by simply learning or injecting new external knowledge in the declarative memory of a cognitive artificial agent but, on the other hand, require a mechanism for the (...)
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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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  • A Description Logic Framework for Commonsense Conceptual Combination Integrating Typicality, Probabilities and Cognitive Heuristics.Antonio Lieto & Gian Luca Pozzato - 2019 - Journal of Experimental and Theoretical Artificial Intelligence:1-39.
    We propose a nonmonotonic Description Logic of typicality able to account for the phenomenon of the combination of prototypical concepts. The proposed logic relies on the logic of typicality ALC + TR, whose semantics is based on the notion of rational closure, as well as on the distributed semantics of probabilistic Description Logics, and is equipped with a cognitive heuristic used by humans for concept composition. We first extend the logic of typicality ALC + TR by typicality inclusions of the (...)
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  • A probabilistic framework for analysing the compositionality of conceptual combinations.Peter Bruza, Kirsty Kitto, Brentyn Ramm & Laurianne Sitbon - 2015 - Journal of Mathematical Psychology 67:26-38.
    Conceptual combination performs a fundamental role in creating the broad range of compound phrases utilised in everyday language. This article provides a novel probabilistic framework for assessing whether the semantics of conceptual combinations are compositional, and so can be considered as a function of the semantics of the constituent concepts, or not. While the systematicity and productivity of language provide a strong argument in favor of assuming compositionality, this very assumption is still regularly questioned in both cognitive science and philosophy. (...)
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  • A Quantum Question Order Model Supported by Empirical Tests of an A Priori and Precise Prediction.Zheng Wang & Jerome R. Busemeyer - 2013 - Topics in Cognitive Science 5 (4):689-710.
    Question order effects are commonly observed in self-report measures of judgment and attitude. This article develops a quantum question order model (the QQ model) to account for four types of question order effects observed in literature. First, the postulates of the QQ model are presented. Second, an a priori, parameter-free, and precise prediction, called the QQ equality, is derived from these mathematical principles, and six empirical data sets are used to test the prediction. Third, a new index is derived from (...)
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  • The mereology of thermodynamic equilibrium.Michael te Vrugt - 2021 - Synthese 199 (5-6):12891-12921.
    The special composition question, which asks under which conditions objects compose a further object, establishes a central debate in modern metaphysics. Recent successes of inductive metaphysics, which studies the implications of the natural sciences for metaphysical problems, suggest that insights into the SCQ can be gained by investigating the physics of composite systems. In this work, I show that the minus first law of thermodynamics, which is concerned with the approach to equilibrium, leads to a new approach to the SCQ, (...)
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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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  • (1 other version)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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  • The Necker–Zeno Model for Bistable Perception.Harald Atmanspacher & Thomas Filk - 2013 - Topics in Cognitive Science 5 (4):800-817.
    A novel conceptual framework for theoretical psychology is presented and illustrated for the example of bistable perception. A basic formal feature of this framework is the non-commutativity of operations acting on mental states. A corresponding model for the bistable perception of ambiguous stimuli, the Necker–Zeno model, is sketched and some empirical evidence for it so far is described. It is discussed how a temporal non-locality of mental states, predicted by the model, can be understood and tested.
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  • From Something Old to Something New: Functionalist Lessons for the Cognitive Science of Scientific Creativity.Guilherme Sanches de Oliveira - 2022 - Frontiers in Psychology 12.
    An intuitive view is that creativity involves bringing together what is already known and familiar in a way that produces something new. In cognitive science, this intuition is typically formalized in terms of computational processes that combine or associate internally represented information. From this computationalist perspective, it is hard to imagine how non-representational approaches in embodied cognitive science could shed light on creativity, especially when it comes to abstract conceptual reasoning of the kind scientists so often engage in. The present (...)
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  • A Loophole of All ‘Loophole-Free’ Bell-Type Theorems.Marek Czachor - 2020 - Foundations of Science 25 (4):971-985.
    Bell’s theorem cannot be proved if complementary measurements have to be represented by random variables which cannot be added or multiplied. One such case occurs if their domains are not identical. The case more directly related to the Einstein–Rosen–Podolsky argument occurs if there exists an ‘element of reality’ but nevertheless addition of complementary results is impossible because they are represented by elements from different arithmetics. A naive mixing of arithmetics leads to contradictions at a much more elementary level than the (...)
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  • Quantum structure of negation and conjunction in human thought.Diederik Aerts, Sandro Sozzo & Tomas Veloz - 2015 - Frontiers in Psychology 6.
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  • Quantum and Concept Combination, Entangled Measurements, and Prototype Theory.Diederik Aerts - 2014 - Topics in Cognitive Science 6 (1):129-137.
    We analyze the meaning of the violation of the marginal probability law for situations of correlation measurements where entanglement is identified. We show that for quantum theory applied to the cognitive realm such a violation does not lead to the type of problems commonly believed to occur in situations of quantum theory applied to the physical realm. We briefly situate our quantum approach for modeling concepts and their combinations with respect to the notions of “extension” and “intension” in theories of (...)
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  • Quantum core affect. Color-emotion structure of semantic atom.Ilya A. Surov - 2022 - Frontiers in Psychology 13:838029.
    Psychology suffers from the absence of mathematically-formalized primitives. As a result, conceptual and quantitative studies lack an ontological basis that would situate them in the company of natural sciences. The article addresses this problem by describing a minimal psychic structure, expressed in the algebra of quantum theory. The structure is demarcated into categories of emotion and color, renowned as elementary psychological phenomena. This is achieved by means of quantum-theoretic qubit state space, isomorphic to emotion and color experiences both in meaning (...)
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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 theory and human perception of the macro-world.Diederik Aerts - 2014 - Frontiers in Psychology 5.
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  • An Extension of Combinatorial Contextuality for Cognitive Protocols.Abdul Karim Obeid, Peter Bruza, Catarina Moreira, Axel Bruns & Daniel Angus - 2022 - Frontiers in Psychology 13.
    This article extends the combinatorial approach to support the determination of contextuality amidst causal influences. Contextuality is an active field of study in Quantum Cognition, in systems relating to mental phenomena, such as concepts in human memory. In the cognitive field of study, a contemporary challenge facing the determination of whether a phenomenon is contextual has been the identification and management of disturbances. Whether or not said disturbances are identified through the modeling approach, constitute causal influences, or are disregardableas as (...)
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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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  • What are the appropriate axioms of rationality for reasoning under uncertainty with resource-constrained systems?Harald Atmanspacher, Irina Basieva, Jerome R. Busemeyer, Andrei Y. Khrennikov, Emmanuel M. Pothos, Richard M. Shiffrin & Zheng Wang - 2020 - Behavioral and Brain Sciences 43.
    When constrained by limited resources, how do we choose axioms of rationality? The target article relies on Bayesian reasoning that encounter serioustractabilityproblems. We propose another axiomatic foundation: quantum probability theory, which provides for less complex and more comprehensive descriptions. More generally, defining rationality in terms of axiomatic systems misses a key issue: rationality must be defined by humans facing vague information.
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  • Hierarchical conceptual spaces for concept combination.Martha Lewis & Jonathan Lawry - 2016 - Artificial Intelligence 237 (C):204-227.
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  • (1 other version)Spin and Wind Directions II: A Bell State Quantum Model.Tomas Veloz, Sandro Sozzo, Massimiliano Sassoli de Bianchi, Suzette Geriente, Lester Beltran, Jonito Aerts Arguëlles & Diederik Aerts - 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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  • 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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  • 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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  • Modeling a Cognitive Transition at the Origin of Cultural Evolution Using Autocatalytic Networks.Liane Gabora & Mike Steel - 2020 - Cognitive Science 44 (9):e12878.
    Autocatalytic networks have been used to model the emergence of self‐organizing structure capable of sustaining life and undergoing biological evolution. Here, we model the emergence of cognitive structure capable of undergoing cultural evolution. Mental representations (MRs) of knowledge and experiences play the role of catalytic molecules, and interactions among them (e.g., the forging of new associations) play the role of reactions and result in representational redescription. The approach tags MRs with their source, that is, whether they were acquired through social (...)
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  • Interference effects of categorization on decision making.Zheng Wang & Jerome R. Busemeyer - 2016 - Cognition 150 (C):133-149.
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  • Toward a Physical Theory of Quantum Cognition.Taiki Takahashi - 2014 - Topics in Cognitive Science 6 (1):104-107.
    Recently, mathematical models based on quantum formalism have been developed in cognitive science. The target articles in this special issue of Topics in Cognitive Science clearly illustrate how quantum theoretical formalism can account for various aspects of human judgment and decision making in a quantitatively and mathematically rigorous manner. In this commentary, we show how future studies in quantum cognition and decision making should be developed to establish theoretical foundations based on physical theory, by introducing Taketani's three-stage theory of the (...)
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  • On Selective Influences, Marginal Selectivity, and Bell/CHSH Inequalities.Ehtibar N. Dzhafarov & Janne V. Kujala - 2014 - Topics in Cognitive Science 6 (1):121-128.
    The Bell/CHSH inequalities of quantum physics are identical with the inequalities derived in mathematical psychology for the problem of selective influences in cases involving two binary experimental factors and two binary random variables recorded in response to them. The following points are made regarding cognitive science applications: (1) compliance of data with these inequalities is informative only if the data satisfy the requirement known as marginal selectivity; (2) both violations of marginal selectivity and violations of the Bell/CHSH inequalities are interpretable (...)
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  • Quantum structure and human thought.Diederik Aerts, Jan Broekaert, Liane Gabora & Sandro Sozzo - 2013 - Behavioral and Brain Sciences 36 (3):274-276.
    We support the authors' claims, except that we point out that also quantum structure different from quantum probability abundantly plays a role in human cognition. We put forward several elements to illustrate our point, mentioning entanglement, contextuality, interference, and emergence as effects, and states, observables, complex numbers, and Fock space as specific mathematical structures.
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  • Modeling Discontinuous Cultural Evolution: The Impact of Cross-Domain Transfer.Kirthana Ganesh & Liane Gabora - 2022 - Frontiers in Psychology 13.
    This paper uses autocatalytic networks to model discontinuous cultural transitions involving cross-domain transfer, using as an illustrative example, artworks inspired by the oldest-known uncontested example of figurative art: the carving of the Hohlenstein-Stadel Löwenmensch, or lion-human. Autocatalytic networks provide a general modeling setting in which nodes are not just passive transmitters of activation; they actively galvanize, or “catalyze” the synthesis of novel nodes from existing ones This makes them uniquely suited to model how new structure grows out of earlier structure, (...)
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  • Decompositional Equivalence: A Fundamental Symmetry Underlying Quantum Theory.Chris Fields - 2016 - Axiomathes 26 (3):279-311.
    Decompositional equivalence is the principle that there is no preferred decomposition of the universe into subsystems. It is shown here, by using a simple thought experiment, that quantum theory follows from decompositional equivalence together with Landauer’s principle. This demonstration raises within physics a question previously left to psychology: how do human—or any—observers identify or agree about what constitutes a “system of interest”?
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  • Conceptual Combination: Extension and Intension. Commentary on Aerts, Gabora, and Sozzo.James A. Hampton - 2014 - Topics in Cognitive Science 6 (1):53-57.
    Aerts et al. provide a valuable model to capture the interactive nature of conceptual combination in conjunctions and disjunctions. The commentary provides a brief review of the interpretation of these interactions that has been offered in the literature, and argues for a closer link between the more traditional account in terms of concept intensions, and the parameters that emerge from the fitting of the Quantum Probability model.
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  • An Autocatalytic Network Model of Conceptual Change.Liane Gabora, Nicole M. Beckage & Mike Steel - 2022 - Topics in Cognitive Science 14 (1):163-188.
    Topics in Cognitive Science, Volume 14, Issue 1, Page 163-188, January 2022.
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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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  • 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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  • Perceptions of document relevance.Peter Bruza & Vivien Chang - 2014 - Frontiers in Psychology 5.
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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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  • 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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  • Metalinguistic Value Disagreement.Erich Rast - 2017 - Studia Semiotyczne 31 (2):139-159.
    In a series of publications Burgess, Plunkett and Sundell have developed a metalinguistic negotiation view that they call ‘Conceptual Ethics.’ I argue that their position adequately captures our intuition that some cases of value disputes are metalinguistic, but that they reverse the direction of justification when they state that speakers ‘negotiate’ the best use of a term or concept on the basis of its prior social role. Borrowing ideas from Putnam, I instead suggest distinguishing two meanings of general terms and (...)
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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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  • Generalizing Prototype Theory: A Formal Quantum Framework.Diederik Aerts, Jan Broekaert, Liane Gabora & Sandro Sozzo - 2016 - Frontiers in Psychology 7.
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