“The constantly recurring argument”: Inferring quantity from order

Theory & Psychology

Volumn 22, Issue 3, 2012, Pages 255-271

  Michell, Joel ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

measurement; order; psychometrics; quality; quantity

Indexed keywords

EID: 84861801322     PISSN: 09593543     EISSN: 14617447     Source Type: Journal    
DOI: 10.1177/0959354311434656     Document Type: Article

References (77)

1. Bergson H. (1913). Time and free will (Pogson F.L., Trans.). London, UK: George Allen & Co.
2. Binet A. Simon T. (1916). New methods for the diagnosis of the intellectual level of subnormals. In Binet A. Simon T., The development of intelligence in children (pp. 37-90; Kite E.S., Trans.). Baltimore, MD: Williams & Wilkins. (Original work published 1905)
3. Bolinger D. (1972). Degree words. The Hague, The Netherlands: Mouton.
4. Bond T.G. Fox C.M. (2007). Applying the Rasch model: Fundamental measurement in the human sciences (2nd ed.). Mahwah, NJ: Erlbaum.
5. Boring E.G. (1920). The logic of the normal law of error in mental measurement. American Journal of Psychology, 31, 1–33.
6. Boumans M. (2007). Invariance and calibration. In Boumans M. (Ed.), Measurement in economics: A handbook (pp. 231–248). Amsterdam, The Netherlands: Elsevier.
7. Bradley F.H. (1895). What do we mean by the intensity of psychical states? Mind, 13, 1–27.
8. Brown J.F. (1934). A methodological consideration of the problem of psychometrics. Erkenntnis, 4, 46–61.
9. Clagett M. (1968). Nicole Oresme and the medieval geometry of qualities and motions. Madison: University of Wisconsin Press.
10. Cohen M. (1995). Induction. In Honderich T. (Ed.), The Oxford companion to philosophy (pp. 405–406). Oxford, UK: Oxford University Press.
11. Collingwood R.G. (1933). An essay on philosophical method. Oxford, UK: Clarendon Press.
12. Coombs C.H. (1964). A theory of data. New York, NY: Wiley.
13. Courtis S.A. (1921). Report of the standardization committee. Journal of Educational Research, 4, 78–80.
14. De Morgan A. (1836). The connexion of number and magnitude: An attempt to explain the fifth book of Euclid. London, UK: Taylor & Walton.
15. De Morgan A. (1847). Formal logic. London, UK: Taylor & Walton.
16. Ducasse C.J. (1941). Philosophy as a science: Its matter and its method. New York, NY: Oskar Piest.
17. Embretson S.E. (2006). The continued search for non-arbitrary metrics in psychology. American Psychologist, 61, 50–55.
18. Embretson S. Gorin J. (2001). Improving construct validity with cognitive psychology principles. Journal of Educational Measurement, 38, 343–368.
19. Engel R.E. (1989). On degrees. Journal of Philosophy, 86, 23–37.
20. Fechner G.T. (1966). Elements of psychophysics (Adler H.E., Trans.). New York, NY: Rinehart & Winston. (Original work published 1860)
21. Fioretti G. (2001). Von Kries and other “German logicians”: Non-numerical probabilities before Keynes. Economics and Philosophy, 17, 245–273.
22. Franklin J. (2000). Diagrammatic reasoning and modelling in the imagination: The secret weapon of the scientific revolution. In Freeland G. Corones A. (Eds.), 1543 and all that: Image and word, change and continuity in the proto-scientific revolution (pp. 53–115). Dordrecht, The Netherlands: Kluwer.
23. Haack S. (1993). Evidence and inquiry: Towards reconstruction in epistemology. Oxford, UK: Blackwell.
24. Heidelberger M. (2004). Nature from within: Gustav Theodor Fechner and his psychophysical worldview. Pittsburgh, PA: University of Pittsburgh Press.
25. Hölder O. (1901). Die Axiome der Quantitåt und die Lehre vom Mass [The axioms of quantity and the theory of measurement]. Berichte über die Verhandlungen der Königlich Såchsischen Gesellschaft der Wissenschaften zu Leipzig, Mathematisch-Physische Klasse, 53, 1–46.
26. Hookway C.J. (1995). Abduction. In Honderich T. (Ed.), The Oxford companion to philosophy (p. 1). Oxford, UK: Oxford University Press.
27. Jerrard H.G. McNeill D.B. (1992). Dictionary of scientific units including dimensionless numbers and scales. London, UK: Chapman & Hall.
28. Jevons W.S. (1871). The theory of political economy. London, UK: Macmillan.
29. Johnson H.M. (1936). Pseudo-mathematics in the social sciences. American Journal of Psychology, 48, 342–351.
30. Kelley T.L. (1923). The principles and techniques of mental measurement. American Journal of Psychology, 34, 408–432.
31. Kelley T.L. (1929). Scientific method: Its function in research and in education. Columbus: Ohio State University Press.
32. Keynes J.M. (1921). A treatise on probability. London, UK: Macmillan.
33. Kline P. (2000). A psychometric primer. London, UK: Free Association Books.
34. Krantz D.H. Luce R.D. Suppes P. Tversky A. (1971). Foundations of measurement: Vol. 1. New York, NY: Academic Press.
35. Kyngdon A. (2006). An empirical study into the theory of unidimensional unfolding. Journal of Applied Measurement, 7, 369–393.
36. Kyngdon A. Richards B. (2007). Attitudes, order and quantity: Deterministic and direct probabilistic tests of unidimensional unfolding. Journal of Applied Measurement, 8, 1–34.
37. Lord F.M. Novick M.R. (1968). Statistical theories of mental test scores. Reading, MA: Addison-Wesley.
38. Luce R.D. Krantz D.H. Suppes P. Tversky A. (1990). Foundations of measurement: Vol. 3. New York, NY: Academic Press.
39. Mackie J.L. (1973). Truth, probability and paradox: Studies in philosophical logic. Oxford, UK: Clarendon Press.
40. Marcus R.B. (1995). Deduction. In Honderich T. (Ed.), The Oxford companion to philosophy (p. 181). Oxford, UK: Oxford University Press.
41. McCall W.A. (1922). How to measure in education. New York, NY: Macmillan.
42. McMullin E. (1992). The inference that makes science. Milwaukee, WI: Marquette University Press.
43. Meehl P.E. (2006). The power of quantitative thinking. In Waller N.G. Yonce L.J. Grove W.M. Faust D. Lenzenweger M.F. (Eds.), A Paul Meehl reader: Essays on the practice of scientific psychology (pp. 433–444). Mahwah, NJ: Erlbaum.
44. Michell J. (1986). Measurement scales and statistics: A clash of paradigms. Psychological Bulletin, 100, 398–407.
45. Michell J. (1990). An introduction to the logic of psychological measurement. Hillsdale, NJ: Erlbaum.
46. Michell J. (1994). Measuring dimensions of belief by unidimensional unfolding. Journal of Mathematical Psychology, 38, 244–273.
47. Michell J. (1997). Quantitative science and the definition of measurement in psychology. British Journal of Psychology, 88, 355–383.
48. Michell J. (2000). Normal science, pathological science and psychometrics. Theory & Psychology, 10, 639–667.
49. Michell J. (2004). Item response models, pathological science and the shape of error: Reply to Borsboom and Mellenbergh. Theory & Psychology, 14, 121–129.
50. Michell J. (2006). Psychophysics, intensive magnitudes, and the psychometricians’ fallacy. Studies in History & Philosophy of Biological and Biomedical Sciences, 17, 414–431.
51. Michell J. (2007a, June). Bergson's and Bradley's versions of the psychometricians’ fallacy argument and the logic of quantity. Paper delivered at the 26th Annual Conference of the European Society for the History of the Human Sciences, Dublin, Ireland.
52. Michell J. (2007b). Measurement. In Turner S.P. Risjord M.W. (Eds.), Handbook of the philosophy of science: Philosophy of anthropology and sociology (pp. 71–119). Amsterdam, The Netherlands: Elsevier.
53. Michell J. (2008). Is psychometrics pathological science? Measurement: Interdisciplinary Research and Perspectives, 6, 7–24.
54. Michell J. (2009a). Invalidity in validity. In Lissitz R.W. (Ed.), The concept of validity: Revisions, new directions and applications (pp. 111–133). Charlotte, NC: Information Age Publishing.
55. Michell J. (2009b). The psychometricians’ fallacy: Too clever by half? British Journal of Mathematical and Statistical Psychology, 62, 41–55.
56. Michell J. (2010). The quantity/quality interchange: A blindspot on the highway of science. In Toomela A. Valsiner J. (Eds.), Methodological thinking in psychology: 60 years gone astray? (pp. 45–68). Charlotte, NC: Information Age Publishing.
57. Michell J. Ernst C. (1996). The axioms of quantity and the theory of measurement, Part I, An English translation of Hölder (1901), Part I. Journal of Mathematical Psychology, 40, 235–252.
58. Michell J. Ernst C. (1997). The axioms of quantity and the theory of measurement, Part II, An English translation of Hölder (1901), Part II. Journal of Mathematical Psychology, 41, 345–356.
59. Mueller I. (1981). Philosophy of mathematics and deductive structure in Euclid's Elements. Cambridge, MA: MIT Press.
60. Niall K.K. (1995). Conventions of measurement in psychophysics: Von Kries on the so-called psychophysical law. Spatial Vision, 9, 275–305.
61. Porter T.M. (1995). Trust in numbers: The pursuit of objectivity in science and public life. Princeton, NJ: Princeton University Press.
62. Russell B. (1983). The a priori in geometry. In Blackwell K. (Ed.), The collected papers of Bertrand Russell: Vol. 1. Cambridge essays 1896–99 (pp. 291–304). London, UK: Allen & Unwin.
63. Smith B.O. (1938). Logical aspects of educational measurement. New York, NY: Columbia University Press.
64. Spearman C. (1904). General intelligence, objectively determined and measured. American Journal of Psychology, 15, 201–293.
65. Spearman C. (1910). Correlation calculated from faulty data. British Journal of Psychology, 3, 271–295.
66. Spigelman J.J. (2002). Quality in an age of measurement. Quadrant, 46, 9–15.
67. Stevens S.S. (1946). On the theory of scales of measurement. Science, 103, 667–680.
68. Stevens S.S. (1951). Mathematics, measurement, and psychophysics. In Stevens S.S. (Ed.), Handbook of experimental psychology (pp. 1–49). New York, NY: Wiley.
69. Suppes P. Krantz D.H. Luce R.D. Tversky A. (1990). Foundations of measurement: Vol. 2. New York, NY: Academic Press.
70. Sutherland D. (2004). Kant's philosophy of mathematics and the Greek mathematical tradition. Philosophical Review, 113, 157–201.
71. Thorndike E.L. (1918). The nature, purposes, and general methods of measurements of educational products. In Whipple G.M. (Ed.), Seventeenth yearbook of the national society for the study of education: Vol. 2 (pp. 16–24). Bloomington IL: Public School Publishing.
72. Thurstone L.L. (1959). Attitudes can be measured. In The measurement of values (pp. 215–233). Chicago, IL: University of Chicago Press. (Original work published 1928)
73. Titchener E.B. (1905). Experimental psychology: A manual of laboratory practice: Vol. 2. Quantitative experiments: Part 2. Instructor's manual. London, UK: Macmillan.
74. Trout J.D. (2000). Measurement. In Newton-Smith W.H. (Ed.), A companion to the philosophy of science (pp. 265–276). Oxford, UK: Blackwell.
75. Turner S.P. (2008). How not to do science. Sociological Quarterly, 49, 237–251.
76. von Helmholtz H. (1971). An epistemological analysis of counting and measurement (Kahl R., Trans.). In Kahl R. (Ed.), Selected writings of Hermann von Helmholtz (pp. 437–465). Middletown, CT: Wesleyan University Press. (Original work published 1887)
77. von Kries J. (1882). Über die Messung intensiver Grössen und über das sogenannte psychophysische Gesetz [On the measurement of intensive magnitudes and the so-called psychophysical law]. Vierteljahrsschrift für wissenschaftliche Philosophie, 6, 257–294.