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Article Dans Une Revue Journal of Logic and Computation Année : 2014

Homogenous and heterogeneous logical proportions

Résumé

Commonsense reasoning often relies on the perception of similarity as well as dis- similarity 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.
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Dates et versions

hal-01154243 , version 1 (26-05-2015)

Identifiants

  • HAL Id : hal-01154243 , version 1
  • OATAO : 13108

Citer

Henri Prade, Gilles Richard. Homogenous and heterogeneous logical proportions. Journal of Logic and Computation, 2014, Vol. 1 (n° 1), pp. 1-52. ⟨hal-01154243⟩
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