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  1. 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 Superpositions and the Representation of Physical Reality Beyond Measurement Outcomes and Mathematical Structures.Christian de Ronde - 2016 - Foundations of Science 23 (4):621-648.
    In this paper we intend to discuss the importance of providing a physical representation of quantum superpositions which goes beyond the mere reference to mathematical structures and measurement outcomes. This proposal goes in the opposite direction to the project present in orthodox contemporary philosophy of physics which attempts to “bridge the gap” between the quantum formalism and common sense “classical reality”—precluding, right from the start, the possibility of interpreting quantum superpositions through non-classical notions. We will argue that in order to (...)
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  • Can Quantum Analogies Help Us to Understand the Process of Thought? [2nd Ed.].Paavo Pylkkanen - 2014 - Mind and Matter 12 (1):61-91.
    A number of researchers today make an appeal to quantum physics when trying to develop a satisfactory account of the mind, an appeal still felt to be controversial by many. Often these "quantum approaches" try to explain some well-known features of conscious experience (or mental processes more generally), thus using quantum physics to enrich the explanatory framework or explanans used in consciousness studies and cognitive science. This paper considers the less studied question of whether quantum physical intuitions could help us (...)
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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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  • 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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  • Perceptions of Document Relevance.Peter Bruza & Vivien Chang - 2014 - Frontiers in Psychology 5.
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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 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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  • Quantum Probability Theory as a Common Framework for Reasoning and Similarity.Jennifer S. Trueblood, Emmanuel M. Pothos & Jerome R. Busemeyer - 2014 - Frontiers in Psychology 5.
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  • A Quantum Probability Model of Causal Reasoning.Jennifer S. Trueblood & Jerome R. Busemeyer - 2012 - Frontiers in Psychology 3.
  • Generalizing Prototype Theory: A Formal Quantum Framework.Diederik Aerts, Jan Broekaert, Liane Gabora & Sandro Sozzo - 2016 - Frontiers in Psychology 7.
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  • 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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  • Geometric Representations for Minimalist Grammars.Peter Beim Graben & Sabrina Gerth - 2012 - Journal of Logic, Language and Information 21 (4):393-432.
    We reformulate minimalist grammars as partial functions on term algebras for strings and trees. Using filler/role bindings and tensor product representations, we construct homomorphisms for these data structures into geometric vector spaces. We prove that the structure-building functions as well as simple processors for minimalist languages can be realized by piecewise linear operators in representation space. We also propose harmony, i.e. the distance of an intermediate processing step from the final well-formed state in representation space, as a measure of processing (...)
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