Faithful representation, physical extensive measurement theory and archimedean axioms

Synthese 70 (3):373 - 400 (1987)
The formal methods of the representational theory of measurement (RTM) are applied to the extensive scales of physical science, with some modifications of interpretation and of formalism. The interpretative modification is in the direction of theoretical realism rather than the narrow empiricism which is characteristic of RTM. The formal issues concern the formal representational conditions which extensive scales should be assumed to satisfy; I argue in the physical case for conditions related to weak rather than strong extensive measurement, in the sense of Holman 1969 and Colonius 1978. The problem of justifying representational conditions is addressed in more detail than is customary in the RTM literature; this continues the study of the foundations of RTM begun in an earlier paper. The most important formal consequence of the present interpretation of physical extensive scales is that the basic existence and uniqueness properties of scales (representation theorem) may be derived without appeal to an Archimedean axiom; this parallels a conclusion drawn by Narens for representations of qualitative probability. It is concluded that there is no physical basis for postulation of an Archimedean axiom.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF00414156
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 29,520
Through your library
References found in this work BETA
The Scientific Image.C. Van Fraassen Bas - 1980 - Oxford University Press.
Science Without Numbers.Hartry Field - 1980 - Princeton University Press.
Foundational Aspects of Theories of Measurement.Dana Scott & Patrick Suppes - 1958 - Journal of Symbolic Logic 23 (2):113-128.

View all 14 references / Add more references

Citations of this work BETA
On the Possibility of Science Without Numbers.Chris Mortensen - 1998 - Australasian Journal of Philosophy 76 (2):182 – 197.

Add more citations

Similar books and articles
Added to PP index

Total downloads
43 ( #123,033 of 2,180,849 )

Recent downloads (6 months)
1 ( #300,627 of 2,180,849 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums