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Contextualizing Concepts

Gabora, Liane and Aerts, Diederik (2002) Contextualizing Concepts. [Conference Paper]

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Abstract

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.

Item Type:Conference Paper
Keywords:collapse, concept, context, creativity, exemplar, guppy effect, impossibilist creativity, lattice formalism, pet fish problem, prototype, quantum mechanics, representation, superposition
Subjects:Psychology > Cognitive Psychology
Computer Science > Artificial Intelligence
Philosophy > Philosophy of Science
ID Code:2139
Deposited By: Gabora, Dr. Liane
Deposited On:03 Feb 2004
Last Modified:11 Mar 2011 08:54

References in Article

Select the SEEK icon to attempt to find the referenced article. If it does not appear to be in cogprints you will be forwarded to the paracite service. Poorly formated references will probably not work.

Aerts, D. 1993. Quantum Structures Due to Fluctuations of the Measurement Situations.

International Journal of Theoretical Physics 32:2207—2220.

Aerts, D., Aerts, S., Broekaert, J. & Gabora, L. 2000a. The Violation of Bell Inequalities in the

Macroworld. Foundations of Physics 30:1387—1414.

Aerts, D., Broekaert, J. & Gabora, L. 1999. Nonclassical Contextuality in Cognition:

Borrowing from Quantum Mechanical approaches to Indeterminism and Observer Dependence.

In (R. Campbell, Ed.) Dialogues Proceedings of Mind IV Conference, Dublin, Ireland.

Aerts, D., Broekaert, J. & Gabora, L. 2000b. Intrinsic Contextuality as the Crux of

Consciousness. In (K. Yasue, Ed.) Fundamental Approaches to Consciousness. John

Benjamins Publishing Company.

Aerts, D. & Durt, T. 1994a. Quantum, Classical and Intermediate: A Measurement Model. In

Proceedings of the International Symposium on the Foundations of Modern Physics 1994,

Helsinki, Finland, eds. C. Montonen et al., Editions Frontieres, Gives Sur Yvettes, France.

Aerts, D., Colebunders, E., Van der Voorde, A. & Van Steirteghem, B. 1999. State Property

Systems and Closure Spaces: a Study of Categorical Equivalence. International Journal of

Theoretical Physics 38:359-385.

Aerts, D. & Durt, T. 1994b. Quantum, Classical, and Intermediate, an Illustrative Example.

Foundations of Physics 24:1353-1368.

Aerts, D., D’Hondt, E. & Gabora, L. 2000c. Why the Disjunction in Quantum Logic is Not

Classical. Foundations of Physics 30:1473—1480.

Bell, J. 1964. On the Einstein Podolsky Rosen Paradox, Physics 1:195.

Boden, M. 1991. The Creative Mind: Myths and Mechanisms. Cambridge UK: Cambridge

University Press.

Foulis, D., Piron C., & Randall, C. 1983. Realism, Operationalism and Quantum Mechanics.

Foundations of Physics 13(813).

Foulis, D. & Randall, C. 1981. What are Quantum Logics and What Ought They to Be?" In

Current Issues in Quantum Logic, 35, eds. Beltrametti, E. & van Fraassen, B., New York NY:

Plenum Press.

Gabora, L. 2001. Cognitive mechanisms underlying the origin and evolution of culture. PhD.

Diss., CLEA, Free University of Brussels.

Gerrig, R. & Murphy, G. 1992. Contextual Influences on the Comprehension of Complex

concepts. Language and Cognitive Processes 7:205-230.

Hampton, J. 1987. Inheritance of Attributes in Natural Concept Conjunctions. Memory &

Cognition 15:55-71.

Heit, E. & Barsalou, L. 1996. The Instantiation Principle in Natural Language Categories.

Memory 4:413-451.

Jauch, J. 1968. Foundations of Quantum Mechanics, Reading Mass: Addison-Wesley.

Mackey, G. 1963. Mathematical Foundations of Quantum Mechanics. Reading Mass:

Benjamin.

Medin, D., Altom, M., & Murphy, T. 1984. Given versus Induced Category Representations:

Use of Prototype and Exemplar Information in Classification. Journal of Experimental

Psychology: Learning, Memory, and Cognition 10:333-352.

Medin, D., & Shoben, E. 1988. Context and Structure in Conceptual Combinations. Cognitive

Psychology 20:158-190.

Murphy, G. & Medin, D. 1985. The Role of Theories in Conceptual Coherence. Psychological

Review, 92, 289-316.

Nosofsky, R. 1988. Exemplar-based Accounts of Relations between Classification,

Recognition, and Typicality. Journal of Experimental Psychology: Learning, Memory, and

Cognition 14:700-708.

Nosofsky, R. 1992. Exemplars, Prototypes, and Similarity Rules. In From Learning Theory to

Connectionist Theory: Essays in Honor of William K. Estes 1:149-167. A. Healy, S. Kosslyn,

& R. Shiffrin, eds. Hillsdale NJ: Lawrence Erlbaum.

Osherson, D. & Smith, E. 1981. On the Adequacy of Prototype Theory as a Theory of Concepts.

Cognition 9:35-58.

Piron, C. 1976. Foundations of Quantum Physics, Reading Mass.: W. A. Benjamin.

Piron, C. 1989. Recent Developments in Quantum Mechanics. Helvetica Physica Acta, 62(82).

Piron, C. 1990. Mécanique Quantique: Bases et Applications, Press Polytechnique de

Lausanne, Lausanne, Suisse.

Pitowsky, I. 1989. Quantum Probability - Quantum Logic, Lecture Notes in Physics 321,

Berlin: Springer.

Randall, C. & Foulis, D. 1976. A Mathematical Setting for Inductive Reasoning, in

Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science

III, 169, ed. Hooker, C. Dordrecht: Reidel.

Randall, C. and Foulis, D. 1978. The Operational Approach to Quantum Mechanics, in

Physical Theories as Logico-Operational Structures, C. Hooker, ed. Dordrecht, Holland

Reidel, 167.

Reed, S. 1972. Pattern Recognition and Categorization. Cognitive Psychology 3:382-407.

Riegler, A. Peschl, M. & von Stein, A. 1999. Understanding Representation in the Cognitive

Sciences. Dortrecht Holland: Kluwer.

Rosch, E. 1975. Cognitive Reference Points. Cognitive Psychology 7:532-547.

Rosch, E. 1978. Principles of Categorization. In Cognition and Categorization, E. Rosch & B.

Lloyd, Eds., 27-48. Hillsdale, NJ: Erlbaum.

Rosch, E. 1983. Prototype Classification and Logical Classification: The two systems. In New

Trends in Conceptual Representation: Challenges to Piaget’s Theory? E. K. Scholnick, Ed.,

73-86. Hillsdale NJ: Erlbaum.

Rosch, E., & Mervis, C. 1975. Family Resemblances: Studies in the Internal Structure of

Categories. Cognitive Psychology 7:573-605.

Rosch, E. 1999. Reclaiming Concepts. Journal of Consciousness Studies 6(11).

Smith, E., & Medin, D. 1981. Categories and Concepts. Cambridge MA: Harvard University

Press.

Storms, G., De Boeck, P., Hampton, J., & Van Mechelen, I. 1999. Predicting conjunction

typicalities by component typicalities. Psychonomic Bulletin and Review 4:677-684.

Storms, G., De Boeck, P., & Ruts, W. 2000. Prototype and Exemplar Based Information in

Natural Language Categories. Journal of Memory and Language 42:51-73.

Storms, G., De Boeck, P., Van Mechelen, I. & Ruts, W. 1996. The Dominance Effect in Concept

Conjunctions: Generality and Interaction Aspects. Journal of Experimental Psychology:

Learning, Memory & Cognition 22:1-15.

Storms, G., De Boeck, P., Van Mechelen, I. & Ruts, W. 1998. Not Guppies, nor Goldfish, but

Tumble dryers, Noriega, Jesse Jackson, Panties, Car crashes, Bird books, and Stevie Wonder.

Memory and Cognition 26:143-145.

Sutcliffe, J. 1993. Concepts, Class, and Category in the Tradition of Aristotle. In I. Van

Mechelen, J. Hampton, R. Michalski, & P. Theuns (Eds.), Categories and Concepts:

Theoretical Views and Inductive Data Analysis, 35-65. London: Academic Press.

Wisniewski, E. 1997. When Concepts Combine. Psychonomic Bulletin & Review 4:167-183.

Wisniewski, E. & Gentner, D. 1991. On the combinatorial semantics of noun pairs: Minor and

major adjustments. In G. B. Simpson (Ed.), Understanding Word and Sentence, 241-284.

Amsterdam: Elsevier.

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