Quantum-like non-separability of concept combinations, emergent associates and abduction

Bruza, PD; Kitto, K; Ramm, B; Sitbon, L; Song, D; Blomberg, S

Quantum-like non-separability of concept combinations, emergent associates and abduction

Bruza, PD Kitto, K

Ramm, B Sitbon, L Song, D Blomberg, S

Permalink

Publication Type:: Journal Article
Citation:: Logic Journal of the IGPL, 2012, 20 (2), pp. 445 - 457
Issue Date:: 2012-04-01

Closed Access

	Filename	Description	Size
	ContentServer (69).pdf	Published Version	152.3 kB	Adobe PDF	View/Open

Copyright Clearance Process

Recently Added
In Progress
Closed Access

This item is closed access and not available.

Full metadata record

Field	Value	Language
dc.contributor.author	Bruza, PD	en_US
dc.contributor.author	Kitto, K https://orcid.org/0000-0001-7642-7121	en_US
dc.contributor.author	Ramm, B	en_US
dc.contributor.author	Sitbon, L	en_US
dc.contributor.author	Song, D	en_US
dc.contributor.author	Blomberg, S	en_US
dc.date.issued	2012-04-01	en_US
dc.identifier.citation	Logic Journal of the IGPL, 2012, 20 (2), pp. 445 - 457	en_US
dc.identifier.issn	1367-0751	en_US
dc.identifier.uri	http://hdl.handle.net/10453/115442
dc.description.abstract	Consider the concept combination 'pet human'. In word association experiments, human subjects produce the associate 'slave' in relation to this combination. The striking aspect of this associate is that it is not produced as an associate of 'pet', or 'human' in isolation. In other words, the associate 'slave' seems to be emergent. Such emergent associations sometimes have a creative character and cognitive science is largely silent about how we produce them. Departing from a dimensional model of human conceptual space, this article will explore concept combinations, and will argue that emergent associations are a result of abductive reasoning within conceptual space, that is, below the symbolic level of cognition. A tensor-based approach is used to model concept combinations allowing such combinations to be formalized as interacting quantum systems. Free association norm data is used to motivate the underlying basis of the conceptual space. It is shown by analogy how some concept combinations may behave like quantum-entangled (non-separable) particles. Two methods of analysis were presented for empirically validating the presence of non-separable concept combinations in human cognition. One method is based on quantum theory and another based on comparing a joint (true theoretic) probability distribution with another distribution based on a separability assumption using a chi-square goodness-of-fit test. Although these methods were inconclusive in relation to an empirical study of bi-ambiguous concept combinations, avenues for further refinement of these methods are identified. © The Author 2011. Published by Oxford University Press. All rights reserved.	en_US
dc.relation.ispartof	Logic Journal of the IGPL	en_US
dc.relation.isbasedon	10.1093/jigpal/jzq049	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	Quantum-like non-separability of concept combinations, emergent associates and abduction	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	20	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
utslib.for	010503 Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory	en_US
utslib.for	0101 Pure Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/DVC (Teaching and Learning)
pubs.organisational-group	/University of Technology Sydney/DVC (Teaching and Learning)/Connected Intelligence Centre
utslib.copyright.status	closed_access
pubs.issue	2	en_US
pubs.publication-status	Published	en_US
pubs.volume	20	en_US

Abstract:

Consider the concept combination 'pet human'. In word association experiments, human subjects produce the associate 'slave' in relation to this combination. The striking aspect of this associate is that it is not produced as an associate of 'pet', or 'human' in isolation. In other words, the associate 'slave' seems to be emergent. Such emergent associations sometimes have a creative character and cognitive science is largely silent about how we produce them. Departing from a dimensional model of human conceptual space, this article will explore concept combinations, and will argue that emergent associations are a result of abductive reasoning within conceptual space, that is, below the symbolic level of cognition. A tensor-based approach is used to model concept combinations allowing such combinations to be formalized as interacting quantum systems. Free association norm data is used to motivate the underlying basis of the conceptual space. It is shown by analogy how some concept combinations may behave like quantum-entangled (non-separable) particles. Two methods of analysis were presented for empirically validating the presence of non-separable concept combinations in human cognition. One method is based on quantum theory and another based on comparing a joint (true theoretic) probability distribution with another distribution based on a separability assumption using a chi-square goodness-of-fit test. Although these methods were inconclusive in relation to an empirical study of bi-ambiguous concept combinations, avenues for further refinement of these methods are identified. © The Author 2011. Published by Oxford University Press. All rights reserved.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/115442