Metric similarities in the logic of approximation.

Michael Katz

Stochastica, Tome 6 (1982) no. 3, p. 265.

Résumé

We describe restricted and extended versions of the logic of approximation which is meant to handle formally the problems of measurement error and of deduction under conditions of uncertainty. We apply the logic to the foundations of social and behavioral inquiry, axiomatizing in it an inexact similarity predicate which behaves like a metric approximation to identity. In the restricted version of the logic we formulate conditions for the imbeddability of similarity models in the real line, and in the extended version we relate arbitrary predicates of our formal language to the predicate of metric similarity.

Détail

Classification : 03B52, 03B99
Mots-clés : Lógica, Lenguajes formales, Aproximación, logic of approximation, measurement error, deduction under conditions of uncertainty, inexact similarity predicate, metric approximation