Philosophical and Foundational Issues in Measurement Theory

5	Measuring Errors of Measurement

Henry E. Kyburg, Jr.

University of Rochester

What is now considered classical measurement theory—which has nothing to do with the theory of making measurements—is concerned with specifying the homomorphisms of some “qualitative (or empirical) structure into a numerical one” (Narens 1985, p. 5). This view of classical measurement theory is referred to as the representational theory, because we are concerned with how to characterize the ways in which a given empirical structure can be represented in a numerical structure. This approach received a nearly definitive embodiment in Krantz, Luce, Suppes, and Tversky (1971). Narens (1984) provided further elegant mathematical elaborations and developments. However, ...