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HandWiki. SCOP Formalism. Encyclopedia. Available online: https://encyclopedia.pub/entry/28843 (accessed on 23 September 2026).
HandWiki. SCOP Formalism. Encyclopedia. Available at: https://encyclopedia.pub/entry/28843. Accessed September 23, 2026.
HandWiki. "SCOP Formalism" Encyclopedia, https://encyclopedia.pub/entry/28843 (accessed September 23, 2026).
HandWiki. (2022, October 11). SCOP Formalism. In Encyclopedia. https://encyclopedia.pub/entry/28843
HandWiki. "SCOP Formalism." Encyclopedia. Web. 11 October, 2022.
SCOP Formalism
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The SCOP formalism or State Context Property formalism is an abstract mathematical formalism for describing states of a system that generalizes both quantum and classical descriptions. The formalism describes entities, which may exist in different states, which in turn have various properties. In addition there is a set of "contexts" (corresponding to measurements) by which an entity may be observed. The formalism has primarily found use outside of physics as a theory of concepts, in particular in the field of quantum cognition, which develops quantum-like models of cognitive phenomena (such as the conjunction fallacy) that may seem paradoxical or irrational when viewed from a perspective of classical states and logic.

quantum-like models formalism scop

References

  1. Piron, C.: Foundations of Quantum Physics. Benjamin, Reading, 1976.
  2. Aerts D. Classical theories and non classical theories as a special case of a more general theory, Journal of Mathematical Physics, 24, 2441–2453. 1983
  3. Aerts D. "Being and change: foundations of a realistic operational formalism", in Probing the Structure of Quantum Mechanics: Nonlinearity, Nonlocality, Computation and Axiomatics. eds. D. Aerts, M. Czachor and T. Durt, World Scientific, Singapore, 2002.
  4. Aerts D. and Gabora L. A state-context-property model of concepts and their combinations ii: A Hilbert space representation. Kybernetes, 34(1/2):176–204, 2005.
  5. D’Hooghe. B. A Possible Operational Motivation for the Orthocomplementation in Quantum Structures, Found Phys. 40: 1669–1680, 2010.
  6. Veloz T., Gabora L., Eyjolfson M., Aerts D., Toward a Formal Model of the Shifting Relationship between Concepts and Contexts during Associative Thought, Fifth International Symposium on Quantum Interaction, 2011.
  7. Gabora L. and Aerts D. Contextualizing concepts using a mathematical generalization of the quantum formalism Journal of Experimental and Theoretical Artificial Intelligence, 14 (4), 327–358, 2002.
  8. Gabora L., Aerts D., A model of the emergence and evolution of integrated worldviews, Journal of Mathematical Psychology, 53, 434–451, 2009.
  9. Aerts D., Quantum structure in cognition, Journal of Mathematical Psychology 53, 314–348, 2009.
  10. Busemeyer, Jerome R.; Bruza, Peter D. (2012-07-26) (in en). Quantum Models of Cognition and Decision. Cambridge University Press. ISBN 9781107011991. https://books.google.com/books?id=0vxvhTG_ZLAC. 
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