---
abstract: "The sets of contexts and properties of a concept are embedded in the complex Hilbert space of quantum mechanics. States are unit vectors or density operators, and contexts and properties are orthogonal projections. The way calculations are done in Hilbert space makes it possible to model how context influences the state of a concept. Moreover, a solution to the combination of concepts is proposed. Using the tensor product, a procedure for describing combined concepts is elaborated, providing a natural solution to the pet fish problem. This procedure allows the modeling of an arbitrary number of combined concepts. By way of example, a model for a simple sentence containing a subject, a predicate and an object, is presented. \n"
altloc:
  - http://repositories.cdlib.org/postprints/538
chapter: ~
commentary: ~
commref: ~
confdates: ~
conference: ~
confloc: ~
contact_email: ~
creators_id: []
creators_name:
  - family: Aerts
    given: Diederik
    honourific: ''
    lineage: ''
  - family: Gabora
    given: Liane
    honourific: ''
    lineage: ''
date: 2005
date_type: published
datestamp: 2006-03-16
department: ~
dir: disk0/00/00/47/71
edit_lock_since: ~
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edit_lock_user: ~
editors_id: []
editors_name:
  - family: Riegler
    given: Alexander
    honourific: ''
    lineage: ''
eprint_status: archive
eprintid: 4771
fileinfo: /style/images/fileicons/application_pdf.png;/4771/1/hvf2.pdf
full_text_status: public
importid: ~
institution: ~
isbn: ~
ispublished: pub
issn: ~
item_issues_comment: []
item_issues_count: 0
item_issues_description: []
item_issues_id: []
item_issues_reported_by: []
item_issues_resolved_by: []
item_issues_status: []
item_issues_timestamp: []
item_issues_type: []
keywords: 'concept, combination, conjunction, context, entanglement, exemplar, Hilbert space, mathematical model, prototype, potentiality, quantum, representation, state, structure'
lastmod: 2011-03-11 08:56:21
latitude: ~
longitude: ~
metadata_visibility: show
note: ~
number: ~
pagerange: 192-221
pubdom: TRUE
publication: Kybernetes
publisher: Emerald
refereed: TRUE
referencetext: ~
relation_type: []
relation_uri: []
reportno: ~
rev_number: 12
series: ~
source: ~
status_changed: 2007-09-12 17:02:22
subjects:
  - cog-psy
  - phil-mind
  - comp-sci-art-intel
succeeds: ~
suggestions: ~
sword_depositor: ~
sword_slug: ~
thesistype: ~
title: 'A theory of concepts and their combinations II: A Hilbert space representation'
type: journalp
userid: 352
volume: 34
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