Synthese

, Volume 55, Issue 3, pp 287–325 | Cite as

Scales and meaningfulness of quantitative laws

  • J. C. Falmagne
  • L. Narens
Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aczel, J.: 1966, Lectures on Functional Equations and their Applications, New York: Academic Press.Google Scholar
  2. Aczel, J., Belousov, V. D., and Hosszu, M.: 1960, ‘Generalized associativity and bisymmetry on quasigroups’, Acta Math. Acad. Sci. Hungar. 11, 127–136.Google Scholar
  3. Blaschke, W. and Bol, G.: 1938, Geometrie der Gewebe, Berlin: Springer.Google Scholar
  4. Graham, H. C. (ed.), Bartlett, N. R., Brown, J. L., Hsia, Y., Mueller, C. G., and Riggs, L. A. (co-eds.): 1965, Vision and Visual Perception, New York: John Wiley.Google Scholar
  5. Gray, D. E. (ed.): 1957, American Institute of Physics Handbook, New York: McGraw-Hill.Google Scholar
  6. Iverson, G. J. and Pavel, M.: in press, ‘Invariant properties of masking phenomena in psychoacoustics and their theoretical consequences’, SIAM-AMS Proceeding 13.Google Scholar
  7. Krantz, D. H., Luce, R. D., Suppes, P., and Tversky, A.: 1971, Foundations of Measurement 1, New York: Academic Press.Google Scholar
  8. Krantz, D. H., Luce, R. D., Suppes, P., and Tversky, A.: forthcoming, Foundations of Measurement, 2, New York: Academic Press.Google Scholar
  9. Levine, M. V.: 1971, ‘Transformations that render curves parallel’, J. Math. Psychol. 7, 410–444.Google Scholar
  10. Luce, R. D.: 1959, ‘On the possible psychophysical laws’, Psychological Review 66, 81–95.Google Scholar
  11. Luce, R. D.: 1962, ‘Comments on Rozeboom's criticism of “On the possible psychophysical laws”’, Psychological Review 69, 584–551.Google Scholar
  12. Luce, R. D.: 1978, ‘Dimensionally invariant laws correspond to meaningful qualitative relations’, Philosophy of Science 45, 81–95.Google Scholar
  13. Narens, L. and Luce, R. D.: 1976, ‘The algebra of measurement’, Journal of Pure and Applied Algebra 8, 197–233.Google Scholar
  14. Narens, L.: 1981, ‘A general theory of ratio scalability with remarks about the measurement-theoretic concept of meaningfulness’, Theory and Decision 13, 1–70.Google Scholar
  15. Narens, L.: 1981, ‘On the scales of measurement,’ Technical Report No. 84, School of Social Sciences, University of California, Irvine.Google Scholar
  16. Pavel, M.: 1980, ‘Homogeneity in complete and partial masking’, unpublished doctoral dissertation, New York University.Google Scholar
  17. Roberts, F. S.: 1979, ‘Measurement theory’, in Gian-Carlo Rota (ed.), Encyclopedia of Mathematics and Its Applications (Vol. 7): Mathematics and the Social Sciences, Reading, Mass.: Addison-Wesley Publishing Co.Google Scholar
  18. Rozeboom, W. W.: 1962, ‘The untenability of Luce's principle’, Psychological Review 69, 542–547.Google Scholar

Copyright information

© D. Reidel Publishing Co 1983

Authors and Affiliations

  • J. C. Falmagne
    • 1
  • L. Narens
    • 2
  1. 1.New York UniversityUSA
  2. 2.University of CaliforniaIrvine

Personalised recommendations