Epistemology of measurement: The relevance of its history for quantification in the social sciences

Social Science Information

Volumn 42, Issue 4, 2003, Pages 515-534

  Michell, Joel ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

History; Measurement; Qualitative science; Quantitative science; Social sciences

Indexed keywords

EID: 0242424955     PISSN: 05390184     EISSN: None     Source Type: Journal    
DOI: 10.1177/0539018403424004     Document Type: Review

References (58)

1. Adams, E.W. and Fagot, R.F. (1959) "A Model of Riskless Choice", Behavioral Science 4: 1-10.
2. Aristotle (1941a) Categories, in R. McKeon (ed.) The Basic Works of Aristotle. New York: Random House.
3. Aristotle (1941b) Metaphysics, in R. McKeon (ed.) The Basic Works of Aristotle. New York: Random House.
4. Aristotle (1941c) On Generation and Corruption, in R. McKeon (ed.) The Basic Works of Aristotle. New York: Random House.
5. Armstrong, D.M. (1997) A World of States of Affairs. Cambridge: Cambridge University Press.
6. Bergson, H. (1913) Time and Free Will, trans. F. L. Pogson. London: George Alien and Unwin.
7. Binet, A. (1905) L'Etude expérimentale de l'intelligence. Paris: Schleicher.
8. Bostock, D. (1979) Logic and Arithmetic, Vol. 2: Rational and Irrational Numbers. Oxford: Clarendon Press.
9. Bridgman, P.W. (1927) The Logic of Modern Physics. New York: Macmillan.
10. Campbell, N.R. (1920) Physics: The Elements. Cambridge: Cambridge University Press.
11. Campbell, N.R. (1933) "The Measurement of Visual Sensations", Proceedings of the Physical Society 45: 565-71.
12. Carnap, R. (1966) An Introduction to the Philosophy of Science. New York: Dover.
13. Clagget, M. (1968) Nicole Oresme and the Medieval Geometry of Qualities and Motions. Madison: University of Wisconsin Press.
14. Cohen, M.R. and Nagel, E. (1934) An Introduction to Logic and Scientific Method. London: Routledge and Kegan Paul.
15. Crombie, A.C. (1994) Styles of Scientific Thinking in the European Tradition. London: Duckworth.
16. Cross, R. (1998) The Physics of Duns Scotus: the Scientific Context of a Theological Vision. Oxford: Clarendon Press.
17. Debreu, G. (1960) "Topological Methods in Cardinal Utility Theory", in K. J. Arrow, S. Karlin and P. Suppes (eds) Mathematical Methods in the Social Sciences. Stanford, CA: Stanford University Press.
18. Dedekind, R. (1901) Essays on the Theory of Numbers, trans. W.W. Beman. Chicago, IL: Open Court.
19. Drake, S. (1990) Galileo: Pioneer Scientist. Toronto: University of Toronto Press.
20. Drake, S. (1999) "Euclid Book V from Eudoxus to Dedekind", in S. Drake Essays on Galileo and the History and Philosophy of Science, vol. 3, pp. 61-75. Toronto: University of Toronto Press.
21. Ellis, B. (1966) Basic Concepts of Measurement. Cambridge: Cambridge University Press.
22. Fechner, G.T. (1860) Elemente der Psychophysik. Leipzig: Breitkopf and Härtel.
23. Ferguson, A., Myers, C.S., Bartlett, R.J., Banister, H., Bartlett, F.C., Brown, W., Campbell, N.R., Drever, J., Guild, J., Houstoun, R.A., Irwin, J.C., Kaye, G.W.C., Philpott, S.J.F., Richardson, L.F., Shaxby, J.H., Smith, T., Thouless, R.H. and Tucker, W.S. (1938) "Quantitative Estimates of Sensory Events: Interim Report", British Association for the Advancement of Science 108: 277-334.
24. Ferguson, A., Myers, C.S., Bartlett, R.J., Banister, H., Bartlett, F.C., Brown, W., Campbell, N.R., Craik, K.J.W., Drever, J., Guild, J., Houstoun, R.A., Irwin, J.C., Kaye, G.W.C., Philpott, S.J.F., Richardson, L.F., Shaxby, J.H., Smith, T., Thouless, R.H. and Tucker, W.S. (1940) "Quantitative Estimates of Sensory Events: Final Report", Advancement of Science 1: 331-49.
25. Frege, G. (1903) Grundgesetze der Arithmetik, Vol. 2. Hildesheim: Georg Olms.
26. Grant, E. (1996) The Foundations of Modern Science in the Middle Ages. Cambridge: Cambridge University Press.
27. Heath, T.L. (1908a) The Thirteen Books of Euclid's Elements, Vol. 1. Cambridge: Cambridge University Press.
28. Heath, T.L. (1908b) The Thirteen Books of Euclid's Elements, Vol. 2. Cambridge: Cambridge University Press.
29. Helmholtz, H. von (1887) "Zählen and Messen erkenntnistheoretisch betrachtet", Philosophische Aufsätze Eduard Zeller zu seinum fünfzigjährigen Doktorjubiläum gewidmet. Leipzig: Fues' Verlag. (Published in translation as: "An Epistemological Analysis of Counting and Measurement", in R. Kahl [ed.] Selected Writings of Hermann von Helmholtz. Middletown, CT: Wesleyan University Press, 1971.)
30. Helmholtz, H. von (1887) "Zählen and Messen erkenntnistheoretisch betrachtet", Philosophische Aufsätze Eduard Zeller zu seinum fünfzigjährigen Doktorjubiläum gewidmet. Leipzig: Fues' Verlag. (Published in translation as: "An Epistemological Analysis of Counting and Measurement", in R. Kahl [ed.] Selected Writings of Hermann von Helmholtz. Middletown, CT: Wesleyan University Press, 1971.)
31. Hölder, O. (1901) "Die Axiome der Quantität und die Lehre vom Mass", Berichte über die Verhandlungen der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig, Mathematisch-Physische Klasse 53: 1-46.
32. Hutcheson, F. (1725) An Inquiry into the Original of Our Ideas of Beauty and Virtue. London: Darby.
33. Keats, J. (1967) "Test Theory", Annual Review of Psychology 18: 217-38.
34. Krantz, D.H., Luce, R.D., Suppes, P. and Tversky, A. (1971) Foundations of Measurement, Vol. 1. New York: Academic Press.
35. Luce, R.D. and Tukey, J.W. (1964) "Simultaneous Conjoint Measurement: A New Type of Fundamental Measurement", Journal of Mathematical Psychology 1: 1-27.
36. Mertz, D.W. (1980) "On Galileo's Method of Causal Proportionality", Studies in the History and Philosophy of Science 11: 229-42.
37. Michell, J. (1990) An Introduction to the Logic of Psychological Measurement. Hillsdale, NJ: Erlbaum.
38. Michell, J. (1993) "Numbers, Ratios, and Structural Relations", Australasian Journal of Philosophy 71: 325-32.
39. Michell, J. (1994) "Numbers as Quantitative Relations and the Traditional Theory of Measurement", British Journal for the Philosophy of Science 45: 389-406.
40. Michell, J. (1997a) "Quantitative Science and the Definition of Measurement in Psychology", British Journal of Psychology 88: 355-83.
41. Michell, J. (1997b) "Bertrand Russell's 1897 Critique of the Traditional Theory of Measurement", Synthese 110: 257-76.
42. Michell, J. (2000) "Normal Science, Pathological Science and Psychometrics", Theory & Psychology 10: 639-67.
43. Michell, J. (2002) "Conjoint Measurement and the Rasch Model: Quantitative Versus Ordinal Structure", paper presented at the International Objective Measurement Workshop, New Orleans, LA, April.
44. Michell, J. and Ernst, C. (1996) "The Axioms of Quantity and the Theory of Measurement, Part I", Journal of Mathematical Psychology 40: 235-52.
45. Michell, J. and Ernst, C. (1997) "The Axioms of Quantity and the Theory of Measurement, Part II", Journal of Mathematical Psychology 41: 345-56.
46. Mill, J.S. (1843) A System of Logic. London: Parker.
47. Newton, I. (1728) Universal Arithmetic; or, a Treatise of Arithmetical Composition and Resolution. (Reprinted in Whiteside, 1967.)
48. Nunnally, J.C. (1967) Psychometric Theory. New York: McGraw-Hill.
49. Rasch, G. (1960) Probabilistic Models for Some Intelligence and Attainment Tests. Chicago, IL: MESA Press.
50. Reid, T. (1849) "An Essay on Quantity", in W. Hamilton (ed.) The Works of Thomas Reid. Edinburgh: Maclachlan, Stewart and Co. (Orig. published 1748.)
51. Russell, B. and Whitehead, A.N. (1913) Principia Mathematica, Vol. 3. Cambridge: Cambridge University Press.
52. Scott, D. (1964) "Measurement Models and Linear Inequalities", Journal of Mathematical Psychology 1: 233-47.
53. Stein, H. (1990) "Eudoxus and Dedekind: on the Ancient Greek Theory of Ratios and Its Relation to Modern Mathematics", Synthese 84: 163-211.
54. Stevens, S.S. (1946) "On the Theory of Scales of Measurement", Science 103: 667-80.
55. Sylla, E.D. (1982) "The Oxford Calculators", in N. Kretzmann, A. Kenny and J. Pinborg (eds) The Cambridge History of Later Medieval Philosophy, pp. 540-63. Cambridge: Cambridge University Press.
56. Thomson, W. (1891) Popular Lectures and Addresses, Vol. 1. London: Macmillan.
57. Von Kries, J. (1882) "Über die Messung intensiver Grössen und über das sogenannte psychophysische Gesetz", Vierteljahrsschrift für wissenschaftliche Philosophie 6: 257-94.
58. Whiteside, D.T. (1967) The Mathematical Works of Isaac Newton, Vol. 2. New York: Johnson Reprint Corp.