Elements of a Model-Theoretic Framework for Probabilistic Measurement

  • Dieter Heyer
  • Reinhard Niederée
Part of the Recent Research in Psychology book series (PSYCHOLOGY)

Abstract

Standard model-theoretic concepts in the theory of fundamental measurement are extended so as to yield an abstract framework for probabilistic measurement based on the notion of a probabilistic structure. Conceiving probabilistic structures as ‘P-mixtures’ of deterministic structures allows to analyze certain probabilistic axioms satisfied by the former in terms of first-order axioms satisfied by the latter. Doing so introduces a new perspective into the theoretical discussion of probabilistic axioms as found in probabilistic measurement, and suggests a new scheme of classification. Some further prospects will be briefly discussed, in particular connections to probabilistic logic.

Keywords

Clarification Metaphor 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Dieter Heyer
    • 1
  • Reinhard Niederée
    • 2
  1. 1.Institut für PsychologieUniversität KielKiel 1Germany
  2. 2.Psychologisches InstitutUniversität BonnBonn 1Germany

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