David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophy of Science 32 (3/4):301-309 (1965)
Suppose that entities composed of two independent components are qualitatively ordered by a relation that satisfies the axioms of conjoint measurement. Suppose, in addition, that each component has a concatenation operation that, together either with the ordering induced on the component by the conjoint ordering or with its converse, satisfies the axioms of extensive measurement. Without further assumptions, nothing can be said about the relation between the numerical scales constructed from the two measurement theories except that they are strictly monotonic. An axiom is stated that relates the two types of measurement theories, seems to cover all cases of interest in physics, and is sufficient to establish that (the multiplicative form of) the conjoint measurement scales are power functions of the extensive measurement scales
|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
No citations found.
Similar books and articles
Luca Mari (2003). Epistemology of Measurement. Measurement 34 (1):17-30.
A. A. J. Marley (1968). An Alternative "Fundamental" Axiomatization of Multiplicative Power Relations Among Three Variables. Philosophy of Science 35 (2):185-186.
Louis Narens (1974). Measurement Without Archimedean Axioms. Philosophy of Science 41 (4):374-393.
Brent Mundy (1988). Extensive Measurement and Ratio Functions. Synthese 75 (1):1 - 23.
Reinhard Niederée (1992). What Do Numbers Measure? A New Approach to Fundamental Measurement. Mathematical Social Sciences 24:237-276.
R. Duncan Luce (1978). Dimensionally Invariant Numerical Laws Correspond to Meaningful Qualitative Relations. Philosophy of Science 45 (1):1-16.
Luca Mari (2000). Beyond the Representational Viewpoint: A New Formalization of Measurement. Measurement 27 (2):71-84.
Brent Mundy (1987). Faithful Representation, Physical Extensive Measurement Theory and Archimedean Axioms. Synthese 70 (3):373 - 400.
Jean-Claude Falmagne (1980). A Probabilistic Theory of Extensive Measurement. Philosophy of Science 47 (2):277-296.
A. A. J. Marley (1970). Additive Conjoint Measurement with Respect to a Pair of Orderings. Philosophy of Science 37 (2):215-222.
Added to index2009-01-28
Total downloads7 ( #192,777 of 1,100,122 )
Recent downloads (6 months)6 ( #51,421 of 1,100,122 )
How can I increase my downloads?