A case for applying an abstracted quantum formalism to cognition

New Ideas in Psychology - Tập 29 - Trang 136-146 - 2011
Diederik Aerts1, Jan Broekaert1, Liane Gabora2
1Lejo Apostel Centre for Interdisciplinary Studies (CLEA), Brussels Free University, Krijgskundestraat 33, 1160 Brussels, Belgium
2Psychology Department, University of British Columbia, 3333 University Way, Kelowna BC, Canada V1V 1V7

Tài liệu tham khảo

Accardi, 1982, Foundations of quantum probability, Rendiconti del Seminario Matematico dell’Università e del Politecnico, Torino, 249 Accardi, 1982, On the statistical meaning of complex numbers in quantum mechanics, Lettere al Nuovo Cimento, 34, 161, 10.1007/BF02817051 Aerts, 1982, Description of many physical entities without the paradoxes encountered in quantum mechanics, Foundations of Physics, 12, 1131, 10.1007/BF00729621 Aerts, 1983, Classical theories and nonclassical theories as a special case of a more general theory, Journal of Mathematical Physics, 24, 2441, 10.1063/1.525626 Aerts, 1986, A possible explanation for the probabilities of quantum mechanics, Journal of Mathematical Physics, 27, 202, 10.1063/1.527362 Aerts, 1987, The origin of the non-classical character of the quantum probability model, 77 Aerts, 1993, Quantum structures due to fluctuations of the measurement situations, International Journal of Theoretical Physics, 32, 2207, 10.1007/BF00672993 Aerts, 1995, Quantum structures: an attempt to explain their appearance in nature, International Journal of Theoretical Physics, 34, 1165, 10.1007/BF00676227 Aerts, 1998, Foundations of quantum physics: a general realistic and operational approach, International Journal of Theoretical Physics, 38, 289, 10.1023/A:1026605829007 Aerts, 2002, Being and change: foundations of a realistic operational formalism, 71 Aerts, 2009, Quantum structure in cognition, Journal of Mathematical Psychology, 53, 314, 10.1016/j.jmp.2009.04.005 Aerts, 1994, Applications of quantum statistics in psychological studies of decision processes, Foundations of Science, 1, 85, 10.1007/BF00208726 Aerts, 1997, Applications of quantum statistics in psychological studies of decision processes, 85 Aerts, 2000, The violation of Bell inequalities in the macroworld, Foundations of Physics, 30, 1387, 10.1023/A:1026449716544 Aerts, 1999, Classical and quantum probability in the epsilon model, International Journal of Theoretical Physics, 38, 407, 10.1023/A:1026662013986 Aerts, 2009, Experimental evidence for quantum structure in cognition, Vol. 5494, 59 Aerts, 1999, A quantum structure description of the liar paradox, International Journal of Theoretical Physics, 38, 3231, 10.1023/A:1026686316673 Aerts, 1999, The liar paradox in a quantum mechanical perspective, Foundations of Science, 4, 115, 10.1023/A:1009610326206 Aerts, 2009, Classical logical versus quantum conceptual thought: examples in economics, decision theory and concept theory, Vol. 5494, 128 Aerts, 2004, Quantum aspects of semantic analysis and symbolic artificial intelligence, Journal of Physics A–Mathematical and General, 37, L123, 10.1088/0305-4470/37/12/L01 Aerts, 2008, Tensor-product vs. geometric-product coding, Physical Review A, 77, 012316, 10.1103/PhysRevA.77.012316 Aerts, 2009, Geometric analogue of holographic reduced representation, Journal of Mathematical Psychology, 53, 389, 10.1016/j.jmp.2009.02.005 Aerts, 1993, A physical example of quantum fuzzy sets and the classical limit, Tatra Mountains Mathematical Publications, 1, 5 Aerts, 1994, Quantum, classical, and intermediate: an illustrative example, Foundations of Physics, 24, 1353, 10.1007/BF02283037 Aerts, 1994, Quantum, classical and intermediate: a measurement model Aerts, 2005, A theory of concepts and their combinations I: the structure of the sets of contexts and properties, Kybernetes, 34, 167, 10.1108/03684920510575799 Aerts, 2005, A theory of concepts and their combinations II: a Hilbert space representation, Kybernetes, 34, 192, 10.1108/03684920510575807 Bar-Hillel, 1986, How alike is it? Versus how likely is it?: a disjunction fallacy in probability judgments, Journal of Personality and Social Psychology, 65, 1119, 10.1037/0022-3514.65.6.1119 Barrett, 2004, Individual differences in working memory capacity and dual-process theories of the mind, Psychological Bulletin, 130, 553, 10.1037/0033-2909.130.4.553 Bell, 1964, On the Einstein Podolsky Rosen paradox, Physics, 1, 195, 10.1103/PhysicsPhysiqueFizika.1.195 Blei, 2003, Latent Dirichlet allocation, Journal of Machine Learning Research, 3, 993 Broekaert, 2002, The generalized Liar Paradox: a quantum model and interpretation, Foundations of Science, 11, 399, 10.1007/s10699-004-6248-8 Bruza, 2005, Quantum logic of semantic space: an exploratory investigation of context effects in practical reasoning 2007 2008 2009 Busemeyer, 2006, Quantum dynamics of human decision making, Journal of Mathematical Psychology, 50, 220, 10.1016/j.jmp.2006.01.003 Deerwester, 1990, Indexing by latent semantic analysis, Journal of the American Society for Information Science, 41, 391, 10.1002/(SICI)1097-4571(199009)41:6<391::AID-ASI1>3.0.CO;2-9 Edelman, 2000 Gabora, L. (2001). Cognitive mechanisms underlying the origin and evolution of culture. Doctoral dissertation. Belgium: Léo Apostel Centre for Interdisciplinary Studies, Free University of Brussels. Gabora, 2002, Contextualizing concepts using a mathematical generalization of the quantum formalism, Journal of Experimental and Theoretical Artificial Intelligence, 14, 327, 10.1080/09528130210162253 Gabora, 2005, Evolution as context-driven actualization of potential, Interdisciplinary Science Reviews, 30, 69, 10.1179/030801805X25873 Gabora, 2008, Toward an ecological theory of concepts, Ecological Psychology, 20, 84, 10.1080/10407410701766676 Gaussier, 2002, A hierarchical model for clustering and categorising documents, Vol. 2291 Griffiths, 2002, Prediction and semantic association, Advances in Neural Information Processing Systems Hofmann, 1999 Lambert Mogiliansky, 2009, Type indeterminacy: a model of the KT(Kahneman–Tversky)-man, Journal of Mathematical Psychology, 53, 349, 10.1016/j.jmp.2009.01.001 Landauer, 1977, Solution to Plato’s problem: the latent semantic analysis theory of acquisition, induction and representation of knowledge, Psychological Review, 104, 211, 10.1037/0033-295X.104.2.211 Landauer, 1998, Introduction to latent semantic analysis, Discourse Processes, 25, 259, 10.1080/01638539809545028 Li, 2008, Geometric and quantum methods for information retrieval, ACM SIGIR, 42, 22, 10.1145/1480506.1480510 Lund, 1990, Producing high-dimensional semantic spaces from lexical co-occurrence, Behavior Research Methods, Instruments and Computers, 28, 203, 10.3758/BF03204766 Paivio, 2007 Pitowsky, 1989 Plate, 1995, Holographic reduced representations, IEEE Transactions on Neural Networks, 6, 623, 10.1109/72.377968 Plate, 2003 Pothos, E. M., & Busemeyer, J. R. (2009). A quantum probability model explanation for violations of “rational” decision theory. Proceedings of the Royal Society, B. van Rijsbergen, 2004 Salton, 1975, A vector space model for automatic indexing, Communications of the ACM, 18, 613, 10.1145/361219.361220 Sloman, 1996, The empirical case for two systems of reasoning, Psychological Bulletin, 119, 3, 10.1037/0033-2909.119.1.3 Sun, 2002 Tversky, 1982, Judgments of and by representativeness Tversky, 1983, Extensional versus intuitive reasoning: the conjunction fallacy in probability judgment, Psychological Review, 90, 293, 10.1037/0033-295X.90.4.293 Tversky, 1992, The disjunction effect in choice under uncertainty, Psychological Science, 3, 305, 10.1111/j.1467-9280.1992.tb00678.x Vinokourov, 2002, A probabilistic framework for the hierarchic organisation and classification of document collections, Journal of Intelligent Information Systems, 18, 153, 10.1023/A:1013677411002 Widdows, 2003, Orthogonal negation in vector spaces for modeling word-meanings and document retrieval, 136 Widdows, 2003, Word vectors and quantum logic: experiments with negation and disjunction, Mathematics of Language, 8, 141