Physics – Quantum Physics
Scientific paper
2004-02-26
Kybernetes, 34, pp. 167-191, 2005.
Physics
Quantum Physics
20 pages, to appear in the journal 'Kybernetes' in the Summer of 2004
Scientific paper
10.1108/03684920510575799
We propose a theory for modeling concepts that uses the state-context-property theory (SCOP), a generalization of the quantum formalism, whose basic notions are states, contexts and properties. This theory enables us to incorporate context into the mathematical structure used to describe a concept, and thereby model how context influences the typicality of a single exemplar and the applicability of a single property of a concept. We introduce the notion `state of a concept' to account for this contextual influence, and show that the structure of the set of contexts and of the set of properties of a concept is a complete orthocomplemented lattice. The structural study in this article is a preparation for a numerical mathematical theory of concepts in the Hilbert space of quantum mechanics that allows the description of the combination of concepts (see quant-ph/0402205)
Aerts Diederik
Gabora Liane
No associations
LandOfFree
A Theory of Concepts and Their Combinations I: The Structure of the Sets of Contexts and Properties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Theory of Concepts and Their Combinations I: The Structure of the Sets of Contexts and Properties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Theory of Concepts and Their Combinations I: The Structure of the Sets of Contexts and Properties will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-294622