One can speak of a theory of measurement in various connections. This situation is caused not only by our peculiar ways of interpreting the concept of measurement (we might interpret it in a wider or a narrower sense of the term), but also by our intentions concerning the extent of the theory (it matters to what extent we wish to go in drafting the theory). After all, we might consider a general theory of measurement, specific theories of measurement (in particular, those of physical and extraphysical measurements), and theories of a certain kind of measurement, for example, fundamental measurement, which may eventually be specified with respect to a definite scientific discipline. Furthermore, we might consider a theory of measurement of some metrical magnitude (i.e., mass), a theory of measurement procedures on a general level, or only a theory of measurement procedures that are either applied in measuring one magnitude or used with the aim of attaining a certain interval of scale values. When we constitute a theory of measurement, whatever its scope and aim, we may emphasize conceptual, methodological, and operational aspects of measurement, its empirical and mathematical characteristics, or we may consciously concentrate only on an analysis of some of these. These possible approaches are, of course, always influenced by general methodological conceptions and philosophical views and, thus, must lead to distinct, sometimes even quite contradictory, results, in spite of all the agreement on the choice of the themes.
Keywords
- Binary Relation
- Representation Theorem
- Numerical Mapping
- Fundamental Measurement
- Numerical Operation
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