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Diederik Aerts
Vrije Universiteit Brussel
  1.  88
    Concepts and Their Dynamics: A Quantum‐Theoretic Modeling of Human Thought.Diederik Aerts, Liane Gabora & Sandro Sozzo - 2013 - Topics in Cognitive Science 5 (4):737-772.
    We analyze different aspects of our quantum modeling approach of human concepts and, more specifically, focus on the quantum effects of contextuality, interference, entanglement, and emergence, illustrating how each of them makes its appearance in specific situations of the dynamics of human concepts and their combinations. We point out the relation of our approach, which is based on an ontology of a concept as an entity in a state changing under influence of a context, with the main traditional concept theories, (...)
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  2.  2
    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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  3. Spin and Wind Directions I: Identifying Entanglement in Nature and Cognition.Diederik Aerts, Jonito Aerts Arguëlles, Lester Beltran, Suzette Geriente, Massimiliano Sassoli de Bianchi, Sandro Sozzo & Tomas Veloz - 2018 - Foundations of Science 23 (2):323-335.
    We present a cognitive psychology experiment where participants were asked to select pairs of spatial directions that they considered to be the best example of Two different wind directions. Data are shown to violate the CHSH version of Bell’s inequality with the same magnitude as in typical Bell-test experiments with entangled spins. Wind directions thus appear to be conceptual entities connected through meaning, in human cognition, in a similar way as spins appear to be entangled in experiments conducted in physics (...)
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  4. Quantum Particles as Conceptual Entities: A Possible Explanatory Framework for Quantum Theory. [REVIEW]Diederik Aerts - 2009 - Foundations of Science 14 (4):361-411.
    We put forward a possible new interpretation and explanatory framework for quantum theory. The basic hypothesis underlying this new framework is that quantum particles are conceptual entities. More concretely, we propose that quantum particles interact with ordinary matter, nuclei, atoms, molecules, macroscopic material entities, measuring apparatuses, in a similar way to how human concepts interact with memory structures, human minds or artificial memories. We analyze the most characteristic aspects of quantum theory, i.e. entanglement and non-locality, interference and superposition, identity and (...)
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  5.  54
    A Potentiality and Conceptuality Interpretation of Quantum Physics.Diederik Aerts - 2010 - Philosophica 83.
    We elaborate on a new interpretation of quantum mechanics which we introduced recently. The main hypothesis of this new interpretation is that quantum particles are entities interacting with matter conceptually, which means that pieces of matter function as interfaces for the conceptual content carried by the quantum particles. We explain how our interpretation was inspired by our earlier analysis of non-locality as non-spatiality and a specific interpretation of quantum potentiality, which we illustrate by means of the example of two interconnected (...)
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  6. The Violation of Bell Inequalities in the Macroworld.Diederik Aerts, Sven Aerts, Jan Broekaert & Liane Gabora - 2000 - Foundations of Physics 30 (9):1387-1414.
    We show that Bell inequalities can be violated in the macroscopic world. The macroworld violation is illustrated using an example involving connected vessels of water. We show that whether the violation of inequalities occurs in the microworld or the macroworld, it is the identification of nonidentical events that plays a crucial role. Specifically, we prove that if nonidentical events are consistently differentiated, Bell-type Pitowsky inequalities are no longer violated, even for Bohm's example of two entangled spin 1/2 quantum particles. We (...)
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  7.  84
    La mecánica cuántica y la conceptualidad: materia, historias, semántica y espacio-tiempo.Diederik Aerts - 2013 - Scientiae Studia 11 (1):75-99.
  8.  16
    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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  9.  4
    Quantum Structure of Negation and Conjunction in Human Thought.Diederik Aerts, Sandro Sozzo & Tomas Veloz - 2015 - Frontiers in Psychology 6.
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  10.  4
    Quantum Theory and Human Perception of the Macro-World.Diederik Aerts - 2014 - Frontiers in Psychology 5.
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  11.  63
    Description of Many Separated Physical Entities Without the Paradoxes Encountered in Quantum Mechanics.Dirk Aerts - 1982 - Foundations of Physics 12 (12):1131-1170.
    We show that it is impossible in quantum mechanics to describe two separated physical systems. This is due to the mathematical structure of quantum mechanics. It is possible to give a description of two separated systems in a theory which is a generalization of quantum mechanics and of classical mechanics, in the sense that this theory contains both theories as special cases. We identify the axioms of quantum mechanics that make it impossible to describe separated systems. One of these axioms (...)
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  12.  41
    Many-Measurements or Many-Worlds? A Dialogue.Diederik Aerts & Massimiliano Sassoli de Bianchi - 2015 - Foundations of Science 20 (4):399-427.
    Many advocates of the Everettian interpretation consider that theirs is the only approach to take quantum mechanics really seriously, and that this approach allows to deduce a fantastic scenario for our reality, one that consists of an infinite number of parallel worlds that branch out continuously. In this article, written in dialogue form, we suggest that quantum mechanics can be taken even more seriously, if the many-worlds view is replaced by a many-measurements view. This allows not only to derive the (...)
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  13.  3
    Relativity Theory Refounded.Diederik Aerts - 2018 - Foundations of Science 23 (3):511-547.
    We put forward a new view of relativity theory that makes the existence of a flow of time compatible with the four-dimensional block universe. To this end, we apply the creation-discovery view elaborated for quantum mechanics to relativity theory and in such a way that time and space become creations instead of discoveries and an underlying non temporal and non spatial reality comes into existence. We study the nature of this underlying non temporal and non spatial reality and reinterpret many (...)
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  14.  94
    Applications of Quantum Statistics in Psychological Studies of Decision Processes.Diedrik Aerts & Sven Aerts - 1995 - Foundations of Science 1 (1):85-97.
    We present a new approach to the old problem of how to incorporate the role of the observer in statistics. We show classical probability theory to be inadequate for this task and take refuge in the epsilon-model, which is the only model known to us caapble of handling situations between quantum and classical statistics. An example is worked out and some problems are discussed as to the new viewpoint that emanates from our approach.
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  15.  4
    Modeling Human Decision-Making: An Overview of the Brussels Quantum Approach.Diederik Aerts, Massimiliano Sassoli de Bianchi, Sandro Sozzo & Tomas Veloz - forthcoming - Foundations of Science:1-28.
    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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  16. Relativity Theory: What is Reality? [REVIEW]Diederik Aerts - 1996 - Foundations of Physics 26 (12):1627-1644.
    In classical Newtonian physics there was a clear understanding of “what reality is.≓ Indeed in this classical view, reality at a certain time is the collection of all what is actual at this time, and this is contained in “the present.≓ Often it is stated that three-dimensional space and one-dimensional time hare been substituted by four-dimensional space-time in relativity theory, and as a consequence the classical concept of reality, as that which is “present,≓ cannot be retained. Is reality then the (...)
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  17.  48
    Contextualizing Concepts Using a Mathematical Generalization of the Quantum Formalism.Liane Gabora & Diederik Aerts - 2002 - Journal of Experimental and Theoretical Artificial Intelligence 14 (4):327-358.
    We outline the rationale and preliminary results of using the State Context Property (SCOP) formalism, originally developed as a generalization of quantum mechanics, to describe the contextual manner in which concepts are evoked, used, and combined to generate meaning. The quantum formalism was developed to cope with problems arising in the description of (1) the measurement process, and (2) the generation of new states with new properties when particles become entangled. Similar problems arising with concepts motivated the formal treatment introduced (...)
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  18.  37
    A Theory of Concepts and Their Combinations II: A Hilbert Space Representation.Diederik Aerts & Liane Gabora - 2005 - Philosophical Explorations.
    The sets of contexts and properties of a concept are embedded in the complex Hilbert space of quantum mechanics. States are unit vectors or density operators, and contexts and properties are orthogonal projections. The way calculations are done in Hilbert space makes it possible to model how context influences the state of a concept. Moreover, a solution to the combination of concepts is proposed. Using the tensor product, a procedure for describing combined concepts is elaborated, providing a natural solution to (...)
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  19.  65
    Quantum, Classical and Intermediate: An Illustrative Example. [REVIEW]Diederik Aerts & Thomas Durt - 1994 - Foundations of Physics 24 (10):1353-1369.
    We present a model that allows one to build structures that evolve continuously from classical to quantum, and we study the intermediate situations, giving rise to structures that are neither classical nor quantum. We construct the closure structure corresponding to the collection of eigenstate sets of these intermediate situations, and demonstrate how the superposition principle disappears during the transition from quantum to classical. We investigate the validity of the axioms of quantum mechanics for the intermediate situations.
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  20.  22
    Quantum Structures, Separated Physical Entities and Probability.Diederik Aerts - 1994 - Foundations of Physics 24 (9):1227-1259.
    We prove that if the physical entity S consisting of two separated physical entities S1 and S2 satisfies the axioms of orthodox quantum mechanics, then at least one of the two subentities is a classical physical entity. This theorem implies that separated quantum entities cannot be described by quantum mechanics. We formulate this theorem in an approach where physical entities are described by the set of their states, and the set of their relevant experiments. We also show that the collection (...)
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  21.  65
    The Quantum Mechanics and Conceptuality: Matter, Histories, Semantics, and Space-Time.Diederik Aerts - 2013 - Scientiae Studia 11 (1):75-99.
    Elaboramos aquí una nueva interpretación propuesta recientemente de la teoría cuántica, según la cual las partículas cuánticas son consideradas como entidades conceptuales que median entre los pedazos de materia ordinaria los cuales son considerados como estructuras de memoria para ellos. Nuestro objetivo es identificar qué es lo equivalente para el ámbito cognitivo humano de lo que el espacio-tiempo físico es para el ámbito de las partículas cuánticas y de la materia ordinaria. Para ello, se identifica la noción de "historia" como (...)
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  22.  77
    A Theory of Concepts and Their Combinations I: The Structure of the Sets of Contexts and Properties.Diederik Aerts & Liane Gabora - 2005 - Aerts, Diederik and Gabora, Liane (2005) a Theory of Concepts and Their Combinations I.
    We propose a theory for modeling concepts that uses the state-context-property theory (SCOP), a generalization of the quantum formalism, whose basic notions are states, contexts and properties. This theory enables us to incorporate context into the mathematical structure used to describe a concept, and thereby model how context influences the typicality of a single exemplar and the applicability of a single property of a concept. We introduce the notion `state of a concept' to account for this contextual influence, and show (...)
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  23.  2
    On the Conceptuality Interpretation of Quantum and Relativity Theories.Diederik Aerts, Massimiliano Sassoli de Bianchi, Sandro Sozzo & Tomas Veloz - forthcoming - Foundations of Science:1-50.
    How can we explain the strange behavior of quantum and relativistic entities? Why do they behave in ways that defy our intuition about how physical entities should behave, considering our ordinary experience of the world around us? In this article, we address these questions by showing that the comportment of quantum and relativistic entities is not that strange after all, if we only consider what their nature might possibly be: not an objectual one, but a conceptual one. This not in (...)
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  24. Inconsistencies in Constituent Theories of World Views: Quantum Mechanical Examples. [REVIEW]Diederik Aerts, Jan Broekaert & Sonja Smets - 1998 - Foundations of Science 3 (2):313-340.
    We put forward the hypothesis that there exist three basic attitudes towards inconsistencies within world views: (1) The inconsistency is tolerated temporarily and is viewed as an expression of a temporary lack of knowledge due to an incomplete or wrong theory. The resolution of the inconsistency is believed to be inherent to the improvement of the theory. This improvement ultimately resolves the contradiction and therefore we call this attitude the ‘regularising’ attitude; (2) The inconsistency is tolerated and both contradicting elements (...)
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  25.  96
    Why the Disjunction in Quantum Logic is Not Classical.Diederik Aerts, Ellie D'Hondt & Liane Gabora - 2000 - Foundations of Physics 30 (9):1473-1480.
    The quantum logical `or' is analyzed from a physical perspective. We show that it is the existence of EPR-like correlation states for the quantum mechanical entity under consideration that make it nonequivalent to the classical situation. Specifically, the presence of potentiality in these correlation states gives rise to the quantum deviation from the classical logical `or'. We show how this arises not only in the microworld, but also in macroscopic situations where EPR-like correlation states are present. We investigate how application (...)
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  26.  82
    The Liar-Paradox in a Quantum Mechanical Perspective.Diederik Aerts, Jan Broekaert & Sonja Smets - 1999 - Foundations of Science 4 (2):115-132.
    In this paper we concentrate on the nature of the liar paradox asa cognitive entity; a consistently testable configuration of properties. We elaborate further on a quantum mechanical model (Aerts, Broekaert and Smets, 1999) that has been proposed to analyze the dynamics involved, and we focus on the interpretation and concomitant philosophical picture. Some conclusions we draw from our model favor an effective realistic interpretation of cognitive reality.
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  27. Intrinsic Contextuality as the Crux of Consciousness.D. Aerts, J. Broekaert & Liane Gabora - 2000 - In Kunio Yasue, Marj Jibu & Tarcisio Della Senta (eds.), No Matter, Never Mind: Proceedings of Toward a Science of Consciousness: Fundamental Approaches (Tokyo '99). John Benjamins.
    A stream of conscious experience is extremely contextual; it is impacted by sensory stimuli, drives and emotions, and the web of associations that link, directly or indirectly, the subject of experience to other elements of the individual's worldview. The contextuality of one's conscious experience both enhances and constrains the contextuality of one's behavior. Since we cannot know first-hand the conscious experience of another, it is by way of behavioral contextuality that we make judgements about whether or not, and to what (...)
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  28.  56
    Reduction.Diederik Aerts & Fritz Rohrlich - 1998 - Foundations of Science 3 (1):27-35.
  29. On the Origin of Probabilities in Quantum Mechanics: Creative and Contextual Aspects.Diederik Aerts, Bob Coecke & Sonja Smets - 1999 - In S. Smets J. P. Van Bendegem G. C. Cornelis (ed.), Metadebates on Science. Vub-Press & Kluwer. pp. 291--302.
     
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  30.  35
    The Entity and Modern Physics.Diederik Aerts - 1998 - In Elena Castellani (ed.), Interpreting Bodies. Princeton University Press. pp. 223--257.
  31.  38
    The Generalised Liar Paradox: A Quantum Model and Interpretation. [REVIEW]Jan Broekaert, Diederik Aerts & Bart D’Hooghe - 2006 - Foundations of Science 11 (4):399-418.
    The formalism of abstracted quantum mechanics is applied in a model of the generalized Liar Paradox. Here, the Liar Paradox, a consistently testable configuration of logical truth properties, is considered a dynamic conceptual entity in the cognitive sphere (Aerts, Broekaert, & Smets, [Foundations of Science 1999, 4, 115–132; International Journal of Theoretical Physics, 2000, 38, 3231–3239]; Aerts and colleagues[Dialogue in Psychology, 1999, 10; Proceedings of Fundamental Approachs to Consciousness, Tokyo ’99; Mind in Interaction]. Basically, the intrinsic contextuality of the truth-value (...)
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  32.  67
    The Contributions of Logic to the Foundations of Physics: Foreword. [REVIEW]Diederik Aerts, Sonja Smets & Jean P. Van Bendegem - 2010 - Studia Logica 95 (1-2):1-3.
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  33.  31
    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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  34.  44
    The Globe of Globalization.Pieter Meurs, Nicole Note & Diederik Aerts - 2011 - Kritike 5 (2):10-25.
    The starting question in this article is: what does globalization mean philosophically? What matters for this article, is not inasmuch the content of the politico-moral claims or the ideological scope of worldviews as described by sociological and political sciences in the process of globalization, but rather a philosophical horizon that exceeds everyday political reality. This stems from a point of view that the debate on globalization and its alternatives is still too often protruded by ideological and idealist arguments. This article (...)
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  35.  28
    The Creation-Discovery-View: Towards a Possible Explanation of Quantum Reality.Diederik Aerts & Bob Coecke - 1999 - In Maria Luisa Dalla Chiara, Roberto Giuntini & Federico Laudisa (eds.), Language, Quantum, Music. Springer. pp. 105--116.
    The creation discovery view and together with it its technically underlying hidden measurement formalism has been elaborated from the early eighties on, and many aspects of it have been exposed in different places [6, 7, 12, 13, 15, 16, 19, 20, 22, 23, 30–37]. In this paper we give an overview of the most important of these aspects.
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  36.  26
    Quantum Structures and the Nature of Reality: The Indigo Book of 'Einstein Meets Magritte'.Diederik Aerts (ed.) - 1999 - Kluwer Academic.
    Quantum Structures and the Nature of Reality is a collection of papers written for an interdisciplinary audience about the quantum structure research within the International Quantum Structures Association. The advent of quantum mechanics has changed our scientific worldview in a fundamental way. Many popular and semi-popular books have been published about the paradoxical aspects of quantum mechanics. Usually, however, these reflections find their origin in the standard views on quantum mechanics, most of all the wave-particle duality picture. Contrary to relativity (...)
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  37.  35
    Editorial: Quantum, Mimesis and the Social Sciences. [REVIEW]Diederik Aerts - 2000 - Foundations of Science 5 (1):1-2.
  38.  33
    Contextualizing Concepts.Liane Gabora & Diederik Aerts - unknown
    To cope with problems arising in the description of (1) contextual interactions, and (2) the generation of new states with new properties when quantum entities become entangled, the mathematics of quantum mechanics was developed. Similar problems arise with concepts. We use a generalization of standard quantum mechanics, the mathematical lattice theoretic formalism, to develop a formal description of the contextual manner in which concepts are evoked, used, and combined to generate meaning.
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  39.  16
    Constantin Piron at Sixty-Plus: Continuing a Quest for the Understanding of Fundamental Physical Theories and the Pursuit of Their Elaboration. [REVIEW]Diederik Aerts - 1994 - Foundations of Physics 24 (8):1107-1111.
  40.  22
    Editorial: Synthesis and Analysis, Interdisciplinarity and Foundations. [REVIEW]Diederik Aerts - 1998 - Foundations of Science 3 (2):203-206.
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  41.  21
    Editorial: Formal and Informal Representations of Science. [REVIEW]Diederik Aerts, Jan Broekaert & Liane Gabora - 1999 - Foundations of Science 4 (1):1-2.
  42.  15
    Ceci N'Est Pas Heinz von Foerster.D. Aerts - 2005 - Constructivist Foundations 1 (1):13--18.
    Excerpt: In 1995, the Leo Apostel Centre in Brussels, Belgium, organised an international conference called ``Einstein meets Magritte''. Nobel prize winner Ilya Prigogine held the opening lecture at the conference, and Heinz von Foerster's lecture was scheduled last... Heinz von Foerster was enchanted by the conference theme and -- in the spirit of surrealist Belgian painter René Magritte -- had chosen an appropriate title for his talk: ``Ceci n'est pas Albert Einstein''. ... [H]e was delighted to grant the organisers the (...)
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  43.  4
    Generalizing Prototype Theory: A Formal Quantum Framework.Diederik Aerts, Jan Broekaert, Liane Gabora & Sandro Sozzo - 2016 - Frontiers in Psychology 7.
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  44.  7
    The Pet-Fish Problem on the World-Wide Web.Diederik Aerts, Marek Czachor, Bart D’Hooghe & Sandro Sozzo - 2007 - Cognition 2008:2009.
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  45.  14
    Editorial: Creativity and Science. [REVIEW]Diederik Aerts - 1999 - Foundations of Science 4 (2):111-112.
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  46.  3
    Editorial: Quantum Structures in Cognitive and Social Science.Diederik Aerts, Jan Broekaert, Liane Gabora & Sandro Sozzo - 2016 - Frontiers in Psychology 7.
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  47.  4
    A Cross-Disciplinary Framework for the Description of Contextually Mediated Change.Liane Gabora & Diederik Aerts - 2008 - In World Scientific (ed.), Physics of Emergence and Organization. pp. 109--134.
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  48. Einstein Meets Magritte: An Interdisciplinary Reflection: The White Book of "Einstein Meets Magritte".Diederik Aerts, Jan Broekaert & Ernest Mathijs (eds.) - 1999 - Kluwer Academic.
  49. Probing the Meaning of Quantum Mechanics: Superpositions, Dynamics, Semantics and Identity.Diederik Aerts, Christian de Ronde, Hector Freytes & Roberto Giuntini (eds.) - 2016 - World Scientific.
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  50. Towards a General Theory of Evolution.D. Aerts & L. Gabora - forthcoming - Foundations of Science.
     
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