Hostname: page-component-7b7567c8c-7pwfn Total loading time: 0 Render date: 2026-11-15T15:21:10.533Z Has data issue: false hasContentIssue false
  • English
  • Français

On Weak Extensive Measurement

Published online by Cambridge University Press:  01 April 2022

Hans Colonius
Hans Colonius*
Affiliation:
Technische Universität Braunschweig, West Germany
Get accessRights & Permissions [Opens in a new window]

Abstract

Extensive measurement is called weak if the axioms allow two objects to have the same scale value without being indifferent with respect to the order. Necessary and/or sufficient conditions for such representations are given. The Archimedean and the non-Archimedean case are dealt with separately.

Information

Type
Research Article
Information
Philosophy of Science , Volume 45 , Issue 2 , June 1978, pp. 303 - 308
Copyright
Copyright © Philosophy of Science Association 1978

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

[1] Clifford, A. “Totally ordered commutative semigroups,” Bulletin of the American Mathematical Society 64(1958): 305–316.10.1090/S0002-9904-1958-10221-9CrossRefGoogle Scholar
[2] Fuchs, L. Partially ordered algebraic systems. Reading, Massachusetts: Addison-Wesley, 1963.Google Scholar
[3] Holman, E. “Strong and Weak Extensive Measurement,” Journal of Mathematical Psychology 6(1969): 286–293.10.1016/0022-2496(69)90007-8CrossRefGoogle Scholar
[4] Krantz, D., Luce, R., Suppes, P., and Tversky, A. Foundations of Measurement. Vol. I. New York: Academic Press, 1971.Google Scholar
[5] Narens, L. “Measurement Without Archimedean Axioms,” Philosophy of Science 41(1974): 374–393.10.1086/288600CrossRefGoogle Scholar
[6] Skala, H. Non-Archimedean Utility Theory. Dordrecht: Reidel, 1975.10.1007/978-94-010-1724-4CrossRefGoogle Scholar