Difference between revisions 816468792 and 839831941 on enwiki

{{confusing|date=July 2011}}
{{Use dmy dates|date=August 2013}}

The '''SCOP formalism''' or '''State Context Property formalism''' is an abstract mathematical [[Formalism (philosophy of mathematics)|formalism]] for describing states of a system that generalizes both quantum and classical descriptions. The formalism describes [[entity|entities]], which may exist in different states, which in turn have various properties.<ref name="Aerts1983(contracted; show full)}</math> represents a set of properties that the entity can hold, <math>\mu:\Sigma\times \Mu\times \Sigma\to [0,1],~(p,e,q)\mapsto \mu(p,e,q)</math> is a ''state-transition probability function'' that represents the likelihood to transition from the state <math>p</math> to the state <math>q</math> under the influence of the context <math>e</math>, and <math>\nu:\Sigma\times\mathit{L}\to[0,1],~(p,a)\mapsto[0,1]</math> is a
n ''property-applicability function'' that estimates how applicable is the property <math>a</math> to the state <math>p</math> of the entity.

== Special states and contexts ==
It is possible to identify relations among the states and contexts, that recall the basic elements of the quantum formalism:

=== Unitary context and ground state ===
(contracted; show full)
<ref name="Veloz2011">Veloz T., Gabora L., Eyjolfson M., [[Diederik Aerts|Aerts D.]], Toward a Formal Model of the Shifting Relationship between Concepts and Contexts during Associative Thought, Fifth International Symposium on Quantum Interaction, 2011.</ref>
}}

[[Category:Cognitive architecture]]
[[Category:Quantum information theory]]
[[Category:Quantum models]]