Analogy, paralogy and reverse analogy: Postulates and inferences

Prade, H; Richard, G

Analogy, paralogy and reverse analogy: Postulates and inferences

Prade, H

Richard, G

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Publication Type:: Conference Proceeding
Citation:: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2009, 5803 LNAI pp. 306 - 314
Issue Date:: 2009-12-01

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Field	Value	Language
dc.contributor.author	Prade, H https://orcid.org/0000-0003-4586-8527	en_US
dc.contributor.author	Richard, G	en_US
dc.date.issued	2009-12-01	en_US
dc.identifier.citation	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2009, 5803 LNAI pp. 306 - 314	en_US
dc.identifier.isbn	3642046169	en_US
dc.identifier.isbn	9783642046162	en_US
dc.identifier.issn	0302-9743	en_US
dc.identifier.uri	http://hdl.handle.net/10453/32831
dc.description.abstract	Analogy plays a very important role in human reasoning. In this paper, we study a restricted form of it based on analogical proportions, i.e. statements of the form a is to b as c is to d. We first investigate the constitutive notions of analogy, and beside the analogical proportion highlights the existence of two noticeable companion relations: one that is just reversing the change from c to d w. r. t. the one from a to b, while the last one called paralogical proportion expresses that what a and b have in common, c and d have it also. Characteristic postulates are identified for the three types of relations allowing to provide set and Boolean logic interpretations in a natural way. Finally, the solving of proportion equations as a basis for inference is discussed, again emphasizing the differences between analogy, reverse analogy, and paralogy, in particular in a three-valued setting, which is also briefly presented. © 2009 Springer Berlin Heidelberg.	en_US
dc.relation.ispartof	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)	en_US
dc.relation.isbasedon	10.1007/978-3-642-04617-9_39	en_US
dc.subject.classification	Artificial Intelligence & Image Processing	en_US
dc.title	Analogy, paralogy and reverse analogy: Postulates and inferences	en_US
dc.type	Conference Proceeding
utslib.citation.volume	5803 LNAI	en_US
utslib.for	0801 Artificial Intelligence and Image Processing	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Software
pubs.organisational-group	/University of Technology Sydney/Strength - CAI - Centre for Artificial Intelligence
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US
pubs.volume	5803 LNAI	en_US

Abstract:

Analogy plays a very important role in human reasoning. In this paper, we study a restricted form of it based on analogical proportions, i.e. statements of the form a is to b as c is to d. We first investigate the constitutive notions of analogy, and beside the analogical proportion highlights the existence of two noticeable companion relations: one that is just reversing the change from c to d w. r. t. the one from a to b, while the last one called paralogical proportion expresses that what a and b have in common, c and d have it also. Characteristic postulates are identified for the three types of relations allowing to provide set and Boolean logic interpretations in a natural way. Finally, the solving of proportion equations as a basis for inference is discussed, again emphasizing the differences between analogy, reverse analogy, and paralogy, in particular in a three-valued setting, which is also briefly presented. © 2009 Springer Berlin Heidelberg.

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http://hdl.handle.net/10453/32831