David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophy of Science 41 (4):361-373 (1974)
This paper states two sets of axioms sufficient for extensive measurement. The first set, like previously published axioms, requires that each of the objects measured must be classifiable as either greater than, or less than, or indifferent to each other object. The second set, however, requires only that any two objects be classifiable as either indifferent or different, and does not need any information about which object is greater. Each set of axioms produces an extensive scale with the usual properties of additivity and uniqueness except for unit. Moreover, the axioms imply Weber's Law: whether two objects are indifferent depends only upon the ratio of their scale values
|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
Jean-Claude Falmagne (1975). A Set of Independent Axioms for Positive Holder Systems. Philosophy of Science 42 (2):137-151.
David H. Krantz (1967). Extensive Measurement in Semiorders. Philosophy of Science 34 (4):348-362.
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.
Brent Mundy (1988). Extensive Measurement and Ratio Functions. Synthese 75 (1):1 - 23.
A. A. J. Marley (1968). An Alternative "Fundamental" Axiomatization of Multiplicative Power Relations Among Three Variables. Philosophy of Science 35 (2):185-186.
Brent Mundy (1987). Faithful Representation, Physical Extensive Measurement Theory and Archimedean Axioms. Synthese 70 (3):373 - 400.
Reinhard Niederée (1992). What Do Numbers Measure? A New Approach to Fundamental Measurement. Mathematical Social Sciences 24:237-276.
Patrick Suppes (2006). Transitive Indistinguishability and Approximate Measurement with Standard Finite Ratio-Scale Representations. Journal of Mathematical Psychology 50:329-336.
Hans Colonius (1978). On Weak Extensive Measurement. Philosophy of Science 45 (2):303-308.
Added to index2009-01-28
Total downloads6 ( #322,122 of 1,725,305 )
Recent downloads (6 months)1 ( #349,101 of 1,725,305 )
How can I increase my downloads?