A hundred years of numbers. An historical introduction to measurement theory 1887-1990 - part II: Suppes and the mature theory. Representation and uniqueness
Studies in History and Philosophy of Science Part A 28 (2):237-265 (1997)
| Abstract | In Part I we saw that the works of Helmholtz, Holder, Campbell and Stevens contain the main ingredients for the analysis of the conditions which make (fundamental) measurement possible, but, so to speak, that what is lacking in the work of the first three is to be found in the work of the last, and vice versa. The first tradition focuses on the conditions that an empirical qualitative system must satisfy in order to be numerically representable, but pays no attention to the relation between possible different representations. The second tradition focuses on the study of scale types and the mathematical properties of the transformations that characterize the scales, but says nothing about the empirical facts these scales represent and the nature of such representation. Then, these two lines of research need to be appropriately integrated. In this Part II, we shall see how this integration is brought about in the foundational work of Suppes, the extensions and modifications which are generated around this work and the mature theory which results from all of this. | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,664 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesPatrick Suppes (2002). Representational Measurement Theory. In J. Wixted & H. Pashler (eds.), Stevens' Handbook of Experimental Psychology. Wiley.
Patrick Suppes (2006). Transitive Indistinguishability and Approximate Measurement with Standard Finite Ratio-Scale Representations. Journal of Mathematical Psychology 50:329-336.
Reinhard Niederée (1992). What Do Numbers Measure? A New Approach to Fundamental Measurement. Mathematical Social Sciences 24:237-276.
Jeffrey Helzner (2012). On the Representation of Error. Synthese 186 (2):601-613.
Brent Mundy (1987). Faithful Representation, Physical Extensive Measurement Theory and Archimedean Axioms. Synthese 70 (3):373 - 400.
JoséA Díez (1997). A Hundred Years of Numbers. An Historical Introduction to Measurement Theory 1887–1990. Studies in History and Philosophy of Science Part A 28 (1):167-185.
JoséA Díez (1997). A Hundred Years of Numbers. An Historical Introduction to Measurement Theory 1887–1990. Studies in History and Philosophy of Science Part A 28 (2):237-265.
A. J. (1997). A Hundred Years of Numbers. An Historical Introduction to Measurement Theory 1887-1990 - Part I: The Formation Period. Two Lines of Research: Axiomatics and Real Morphisms, Scales and Invariance. [REVIEW] Studies in History and Philosophy of Science Part A 28 (1):167-185.
Patrick Suppes & Joseph Zinnes (1963). Basic Measurement Theory. In D. Luce (ed.), Handbook of Mathematical Psychology. John Wiley & Sons..
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads8 ( #122,991 of 549,010 )Recent downloads (6 months)1 ( #63,261 of 549,010 )How can I increase my downloads? |
My notes
Discussion
