---
abstract: |
We outline the rationale and preliminary results of using the State Context
Property (SCOP) formalism, originally developed as
a generalization of quantum mechanics, to describe the contextual manner in
which concepts are evoked, used, and combined to
generate meaning. The quantum formalism was developed to cope with problems
arising in the description of (1) the measurement
process, and (2) the generation of new states with new properties when
particles become entangled. Similar problems arising
with concepts motivated the formal treatment introduced here. Concepts are
viewed not as fixed representations, but entities
existing in states of potentiality that require interaction with a
context---a stimulus or another concept---to `collapse' to
observable form as an exemplar, prototype, or other (possibly imaginary)
instance. The stimulus situation plays the role of
the measurement in physics, acting as context that induces a change of the
cognitive state from
superposition state to collapsed state. The collapsed state is
more likely to consist of a conjunction of
concepts for associative than analytic thought because more stimulus or
concept properties take part in the
collapse. We provide two contextual measures of conceptual distance---one
using collapse probabilities and the other weighted
properties---and show how they can be applied to conjunctions using the pet
fish problem.
altloc:
- http://www.vub.ac.be/CLEA/liane/papers/jetai.pdf
chapter: ~
commentary: ~
commref: ~
confdates: ~
conference: ~
confloc: ~
contact_email: ~
creators_id: []
creators_name:
- family: Gabora
given: Liane
honourific: ''
lineage: ''
- family: Aerts
given: Diederik
honourific: ''
lineage: ''
date: 2002-01
date_type: published
datestamp: 2004-02-09
department: ~
dir: disk0/00/00/27/25
edit_lock_since: ~
edit_lock_until: ~
edit_lock_user: ~
editors_id: []
editors_name:
- family: Dietrich
given: Eric
honourific: ''
lineage: ''
eprint_status: archive
eprintid: 2725
fileinfo: /style/images/fileicons/application_pdf.png;/2725/1/jetai.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: 'analytical thought, associative thought, collapse, concept, conjunction, context, entanlement, exemplar, mathematical model, prototype, potentiality, quantum, representation, state, structure'
lastmod: 2011-03-11 08:55:08
latitude: ~
longitude: ~
metadata_visibility: show
note: ~
number: 4
pagerange: 327-358
pubdom: TRUE
publication: Joural of Experimental and Theoretical Artificial Intelligence
publisher: Taylor and Francis
refereed: TRUE
referencetext: ~
relation_type: []
relation_uri: []
reportno: ~
rev_number: 12
series: ~
source: ~
status_changed: 2007-09-12 16:46:26
subjects:
- cog-psy
- phil-mind
- comp-sci-art-intel
succeeds: 2213
suggestions: 'The version of this paper (and also the one I just entered previously, and the two I am about to revise) are correct on this page, but the page that appears for the public does not have the correct page numbers. (The reason is that they were entered before i knew what the page numbers were. From now on I will wait until I know what the page numbers are, because to revise the properties of the document once it has been submitted seems to have difficulties getting complete.) Thanks.'
sword_depositor: ~
sword_slug: ~
thesistype: ~
title: Contextualizing concepts using a mathematical generalization of the quantum formalism
type: journalp
userid: 352
volume: 14