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Metric similarities in the logic of approximation.

Michael Katz

Stochastica (1982)

  • Volume: 6, Issue: 3, page 265-281
  • ISSN: 0210-7821

Abstract

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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.

How to cite

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Katz, Michael. "Metric similarities in the logic of approximation.." Stochastica 6.3 (1982): 265-281. <http://eudml.org/doc/38870>.

@article{Katz1982,
abstract = {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.},
author = {Katz, Michael},
journal = {Stochastica},
keywords = {Lógica; Lenguajes formales; Aproximación; logic of approximation; measurement error; deduction under conditions of uncertainty; inexact similarity predicate; metric approximation},
language = {eng},
number = {3},
pages = {265-281},
title = {Metric similarities in the logic of approximation.},
url = {http://eudml.org/doc/38870},
volume = {6},
year = {1982},
}

TY - JOUR
AU - Katz, Michael
TI - Metric similarities in the logic of approximation.
JO - Stochastica
PY - 1982
VL - 6
IS - 3
SP - 265
EP - 281
AB - 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.
LA - eng
KW - Lógica; Lenguajes formales; Aproximación; logic of approximation; measurement error; deduction under conditions of uncertainty; inexact similarity predicate; metric approximation
UR - http://eudml.org/doc/38870
ER -

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