A 100 YEARS OF NUMBERS - AN HISTORICAL INTRODUCTION TO MEASUREMENT-THEORY, 1887-1990 .2. SUPPES AND THE MATURE-THEORY - REPRESENTATION AND UNIQUENESS

In Part I we saw that the works of Helmholtz, Holder, Campbell and Ste vens contain the main ingredients for the analysis of the conditions w hich make (fundamental) measurement possible, but, so to speak, that w hat is lacking in the work of the first three is to be found in the wo rk of the last, and vice versa. The first tradition focuses on the con ditions that an empirical qualitative system must satisfy in order to be numerically representable, but pays no attention to the relation be tween possible different representations. The second tradition focuses on the study of scale types and the mathematical properties of the tr ansformations that characterize the scales, but says nothing about the empirical facts these scales represent and the nature of such represe ntation. Then, these two lines of research need to be appropriately in tegrated. In this Part II, we shall see how this integration is brough t about in the foundational work of Suppes, the extensions and modific ations which are generated around this work and the mature theory whic h results from all of this. (C) 1997 Elsevier Science Ltd.