Measurement Problems: Contemporary Discussions and Models

Abstract

In this paper I review the basic concepts of measurement that have existed from the end of the nineteenth century to the present day, such as representational theory and the realistic, operationalist, conventionalist, information-theoretical, and theoretical-operational models, with their respective advantages and weaknesses. Such characteristics of measurement as accuracy, precision, and various aspects of their application, related to agreement between measurement results, measurements and standards, and measurements and “true” values, as well as the internal and external reproducibility of measurements, are considered. The theoretical-operational model approach to experiment (and measurement), based on V.A. Fock’s three-part scheme, proposed by him for quantum mechanics, is discussed in detail using an example from the physics of elementary particles. The comparative advantages of the latter approach as well as its possible applications for the determination of systematic uncertainty are examined.