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.
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© 1989 Springer-Verlag Berlin Heidelberg
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Heyer, D., Niederée, R. (1989). Elements of a Model-Theoretic Framework for Probabilistic Measurement. In: Roskam, E.E. (eds) Mathematical Psychology in Progress. Recent Research in Psychology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83943-6_7
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DOI: https://doi.org/10.1007/978-3-642-83943-6_7
Publisher Name: Springer, Berlin, Heidelberg
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