This site has been permanently archived. This is a static copy provided by the University of Southampton.
---
abstract: |
The quantum logical `or' is analyzed from a physical
perspective. We show that it is the existence of EPR-like correlation states
for the quantum mechanical entity under consideration that make it
nonequivalent to the classical situation. Specifically, the presence of
potentiality in these correlation states gives rise to the quantum
deviation from the classical logical
`or'. We show how this arises not only in the microworld, but also in
macroscopic situations where EPR-like correlation states are
present. We investigate how application of this analysis to concepts could
alleviate some well known
problems in cognitive science.
altloc:
- http://www.vub.ac.be/CLEA/liane/PAPERS00/fop/or.ps
- http://www.vub.ac.be/CLEA/liane/PAPERS00/fop/or.pdf
chapter: ~
commentary: ~
commref: ~
confdates: ~
conference: ~
confloc: ~
contact_email: ~
creators_id: []
creators_name:
- family: Aerts
given: Diederik
honourific: ''
lineage: ''
- family: D'Hondt
given: Ellie
honourific: ''
lineage: ''
- family: Gabora
given: Liane
honourific: ''
lineage: ''
date: 2000-10
date_type: published
datestamp: 2004-02-03
department: ~
dir: disk0/00/00/34/15
edit_lock_since: ~
edit_lock_until: ~
edit_lock_user: ~
editors_id: []
editors_name:
- family: van der Merwe
given: Alwyn
honourific: ''
lineage: ''
eprint_status: archive
eprintid: 3415
fileinfo: /style/images/fileicons/application_pdf.png;/3415/1/or.pdf|/style/images/fileicons/application_postscript.png;/3415/2/or.ps
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: 'quantum, nondisjunction, correlation, potential, logic, concept, classical, state, conjunction, negation, category, pet fish problem'
lastmod: 2011-03-11 08:55:28
latitude: ~
longitude: ~
metadata_visibility: show
note: ~
number: 9
pagerange: 1473-1480
pubdom: FALSE
publication: Foundations of Physics
publisher: Plenum/Kluwer
refereed: TRUE
referencetext: |-
Aerts, D., Aerts, S., Broekaert, J. and Gabora, L., 2000, ``The violation of Bell inequalities in the macroworld", Foundations of Physics, vol. 30 (9): 1387-1414.
Beltrametti, E. G. and Cassinelli, J., 1981, The Logic of Quantum Mechanics, Addison Wesley, Reading.
Birkhoff, G. and von Neumann, J., 1936, ``The logic of quantum mechanics", Annals of Mathematics}, 43, 298 - 331.
Osherson, D. N. and Smith, E. E., 1981, ``On the adequacy of prototype theory as a theory of concepts", Cognition, 9, 35 -58.
Rosch, E., 2000, ``Reclaiming concepts", Journal of Consciousness Studies, 6, 61 -77.
von Neumann, J., 1932, Mathematische Grundlagen der Quantenmechanik, Springer-Verlag, Berlin.
relation_type: []
relation_uri: []
reportno: ~
rev_number: 14
series: ~
source: ~
status_changed: 2007-09-12 16:50:48
subjects:
- cog-psy
- phil-logic
succeeds: 861
suggestions: volume and pages updated
sword_depositor: ~
sword_slug: ~
thesistype: ~
title: Why the Disjunction in Quantum Logic is Not Classical
type: journalp
userid: 352
volume: 30