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Homogenous and heterogeneous logical proportions

Prade, Henri and Richard, Gilles Homogenous and heterogeneous logical proportions. (2014) The IfCoLog Journal of Logics and their Applications, 1 (1). 1-52. ISSN 2055-3706

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Abstract

Commonsense reasoning often relies on the perception of similarity as well as dissimilarity between objects or situations. Such a perception may be expressed and summarized by means of analogical proportions, i.e., statements of the form “A is to B as C is to D”. Analogy is not a mere question of similarity between two objects (or situations), but rather a matter of proportion or relation between objects. This view dates back to Aristotle and was enforced by Scholastic philosophy. Indeed, an analogical proportion equates a relation between two objects with the relation between two other objects. As such, the analogical proportion “A is to B as C is to D” poses an analogy of proportionality by (implicitly) stating that the way the two objects A and B, otherwise similar, differ is the same way as the two objects C and D, which are similar in some respects, differ.

Item Type:Article
Additional Information:Thanks to College Publications editor. The definitive version is available at http://www.collegepublications.co.uk The original PDF of the article can be found at The IfCoLog Journal of Logics and their Application website : http://www.collegepublications.co.uk/downloads/ifcolog00001.pdf
HAL Id:hal-01154243
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:06 Mar 2015 09:26

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