Authors
Diederik Aerts
Vrije Universiteit Brussel
Abstract
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.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 71,512
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Philosophical Investigations.Ludwig Josef Johann Wittgenstein - 1953 - New York, NY, USA: Wiley-Blackwell.
Cognitive Representations of Semantic Categories.Eleanor Rosch - 1975 - Journal of Experimental Psychology: General 104 (3):192-233.
Prototype Theory and Compositionality.H. Kamp - 1995 - Cognition 57 (2):129-191.

View all 35 references / Add more references

Citations of this work BETA

View all 21 citations / Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
93 ( #127,267 of 2,520,896 )

Recent downloads (6 months)
3 ( #205,180 of 2,520,896 )

How can I increase my downloads?

Downloads

My notes