Outline of a general model of measurement
Measurement is a process aimed at acquiring and codifying information about properties of empirical entities. In this paper we provide an interpretation of such a process comparing it with what is nowadays considered the standard measurement theory, i.e., representational theory of measurement. It is maintained here that this theory has its own merits but it is incomplete and too abstract, its main weakness being the scant attention reserved to the empirical side of measurement, i.e., to measurement systems and to the ways in which the interactions of such systems with the entities under measurement provide a structure to an empirical domain. In particular it is claimed that (1) it is on the ground of the interaction with a measurement system that a partition can be induced on the domain of entities under measurement and that relations among such entities can be established, and that (2) it is the usage of measurement systems that guarantees a degree of objectivity and intersubjectivity to measurement results. As modeled in this paper, measurement systems link the abstract theory of measuring, as developed in representational terms, and the practice of measuring, as coded in standard documents such as the International Vocabulary of Metrology.
KeywordsMeasurement Representational measurement theory Measurement systems Objectivity Intersubjectivity
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- Birkhoff, G. (1948). Lattice theory (American Mathematical Society colloquium series, Vol. 25).Google Scholar
- Bridgman P. (1927) The logic of modern physics. Macmillan, New YorkGoogle Scholar
- Carnap R. (1966) Philosophical foundations of physics. Basic Books, Inc., New York–LondonGoogle Scholar
- Hempel C.G. (1952) Fundamentals in concepts formation in physical sciences. University of Chicago Press, ChicagoGoogle Scholar
- Hempel C.G. (1965) Aspects of scientific explanation and other essays in the philosophy of science. Free Press, GlencoeGoogle Scholar
- JCGM. (2008a). JCGM 200:2008, International vocabulary of metrology—basic and general concepts and associated terms (VIM, 3rd ed.). Downloadable from http://www.bipm.org.
- JCGM. (2008b). JCGM 100:2008, Evaluation of measurement data—guide to the expression of uncertainty in measurement (GUM, 1995 with minor corrections). Downloadable from http://www.bipm.org.
- Krantz D.H., Luce R.D., Suppes P., Tversky A. (1971) Foundations of measurement (Vol. I). Academic Press, New YorkGoogle Scholar
- IEC. (2008). IEC 60050 series, and Electropedia (also known as the “International Electrotechnical Vocabulary (IEV) Online”). Retrieved from http://www.electropedia.org.
- Luce, R. D. Krantz. D. H., Suppes, P. & Tversky, A. (1990). Foundations of measurement (Vol. III). San Diego: Academic PressGoogle Scholar
- Mari, L. (2007). Measurability. In M. Boumans (Ed.), Measurement in economics (pp. 41-77). Amsterdam, Elsevier.Google Scholar
- Narens L. (1985) Abstract measurement theory. Mass MIT Press, CambridgeGoogle Scholar
- Narens L. (2002) Theories of meaningfulness. Mahwah, NJ, Lawrence Erlbaum AssociatesGoogle Scholar
- Pfanzagl, J. (1968). Theory of measurement (2nd ed.). New York: Wiley (Vienna: Physica, 1971).Google Scholar
- Roberts J. (1979) Measurement theory. Addison-Wesley, Reading, MassGoogle Scholar
- Suppes P., Krantz D.H., Luce R.D., Tversky A. (1990) Foundations of measurement (Vol. II). Academic Press, New YorkGoogle Scholar
- Suppes, P., & Zinnes, J. L. (1963). Basic measurement theory. In R. D. Luce, R. R. Bush, & E. Galanter (Eds.). Handbook of mathematical psychology (Vol. 1, pp. 1–76). New York, Wiley.Google Scholar