David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophy of Science 34 (4):348-362 (1967)
In both axiomatic theories and the practice of extensive measurement, it is assumed that a series of replicas of any given object can be found. The replicas give rise to a standard series, the "multiples" of the given object. The numerical value assigned to any object is determined, approximately, by comparisons with members of a suitable standard series. This prescription introduces unspecified errors, if the comparison process is somewhat insensitive, so that "replicas" are not really equivalent. In this paper, it is assumed that the comparison process leads only to a semiorder, which allows for such insensitivity. It is shown that, nevertheless, extensive measurement can be carried out, provided that a certain set of (plausible) axioms is valid. Approximate measures, and their limits of error, can be derived from finite sets of semiorder observations. These approximate measures converge to ratio-scale exact measurement
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Brent Mundy (1987). Faithful Representation, Physical Extensive Measurement Theory and Archimedean Axioms. Synthese 70 (3):373 - 400.
Similar books and articles
A. A. J. Marley (1968). An Alternative "Fundamental" Axiomatization of Multiplicative Power Relations Among Three Variables. Philosophy of Science 35 (2):185-186.
Eric W. Holman (1974). Extensive Measurement Without an Order Relation. Philosophy of Science 41 (4):361-373.
Patrick Suppes (2006). Transitive Indistinguishability and Approximate Measurement with Standard Finite Ratio-Scale Representations. Journal of Mathematical Psychology 50:329-336.
Louis Narens (1974). Measurement Without Archimedean Axioms. Philosophy of Science 41 (4):374-393.
R. Duncan Luce (1965). A "Fundamental" Axiomatization of Multiplicative Power Relations Among Three Variables. Philosophy of Science 32 (3/4):301-309.
Ernest W. Adams (1965). Elements of a Theory of Inexact Measurement. Philosophy of Science 32 (3/4):205-228.
Reinhard Niederée (1992). What Do Numbers Measure? A New Approach to Fundamental Measurement. Mathematical Social Sciences 24:237-276.
Dragana Bozin (1998). Alternative Combining Operations in Extensive Measurement. Philosophy of Science 65 (1):136-150.
Hans Colonius (1978). On Weak Extensive Measurement. Philosophy of Science 45 (2):303-308.
Brent Mundy (1988). Extensive Measurement and Ratio Functions. Synthese 75 (1):1 - 23.
Added to index2009-01-28
Total downloads8 ( #196,778 of 1,689,878 )
Recent downloads (6 months)1 ( #183,603 of 1,689,878 )
How can I increase my downloads?