Abstract
Academia’s mathematical metaphysics are briefly explored en route to an elaboration of the qualitatively rigorous requirements underpinning the calibration and unambiguous interpretation of quantitative instrumentation in any science. Of particular interest are Gadamer’s emphases on number as the paradigm of the noetic, on the role of play in interpretation, and on Hegel’s sense of method as the activity of the thing itself that thought experiences. These point toward and overlap with (1) Latour’s study of the metrological social networks through which technological phenomena are brought into language as modes of being that can be understood, and (2) the way that Rasch’s models for measurement comprise a potential beginning for metaphysically astute, qualitatively and quantitatively integrated, mathematical methods in the social sciences. The paper closes with observations on the general problem that is philosophy, the need to remain open to multiplicities of meaning even as clear understandings are sought and obtained.
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References
Andersen, E.B. (1977). Sufficient Statistics and Latent Trait Models. Psychometrika 42: 69–81.
Andrich, D.A. (1988). Sage University Paper Series on Quantitative Applications in the Social Sciences. Vol. series no. 07-068: Rasch Models for Measurement. Beverly Hills CA: Sage Publications.
Andrich, D.A. (2002). Understanding Resistance to the Data-Model Relationship in Rasch’s Paradigm: A Reflection for the Next Generation. Journal of Applied Measurement 3: 325–359.
Andrich, D.A., Lyne, A., Sheridan, B. and Luo, G. (2003). RUMM: Rasch Unidimensional Models for Measurement. Perth, Australia: RUMM Laboratory Pty Ltd.
Ballard, E.G. (1978). Man and Technology: Toward the Measurement of a Culture. Pittsburgh: Duquesne University Press.
Bernet, R. (1989). On Derrida’s ‘Introduction’ to Husserl’s Origin of Geometry. In H.J. Silverman (Ed.), Derrida and Deconstruction. New York: Routledge.
Bernstein, R.J. (1983). Beyond Objectivism and Relativism: Science, Hermeneutics, and Praxis. Philadelphia: University of Pennsylvania Press.
Bond, T. and Fox, C. (2001). Applying the Rasch Model: Fundamental Measurement in the Human Sciences. Mahwah NJ: LEA, Inc.
Burtt, E.A. (1932/1954). The Metaphysical Foundations of Modern Physical Science, rev. ed. Garden City, NY: Doubleday Anchor.
Caputo, J.D. (1997). A Commentary. In J.D. Caputo (Ed.), Deconstruction in a Nutshell: A Conversation with Jacques Derrida. New York: Fordham University Press.
Choi, S.E. (1997). Rasch Invents “Ounces”. Rasch Measurement Transactions 11: 557 [http://www.rasch.org/rmt/rmt112.htm{#}Ounces].
Derrida, J. (1978). Structure, Sign and Play in the Discourse of the Human Sciences. In Writing and Difference. Chicago: University of Chicago Press.
Derrida, J. (1982). Margins of Philosophy. Chicago: University of Chicago Press.
Derrida, J. (1989). Edmund Husserl’s Origin of Geometry: An Introduction. Lincoln: University of Nebraska Press.
Derrida, J. (2003). Interview on Writing. In G.A. Olson and L. Worsham (Eds.), Critical Intellectuals on Writing. Albany: State University of New York Press.
Embretson, S.E. (1996, September). Item Response Theory Models and Spurious Interaction Effects in Factorial ANOVA Designs. Applied Psychological Measurement 20: 201–212.
Engelhard, G., Jr. (1994). Resolving the Attenuation Paradox. Rasch Measurement Transactions 8: 379.
Fischer, G.H. (1995). Derivations of the Rasch model. In G. Fischer and I. Molenaar (Eds.), Rasch Models: Foundations, Recent Developments, and Applications. New York: Springer-Verlag.
Fisher, W.P., Jr. (1988). Truth, Method, and Measurement: The Hermeneutic of Instrumentation and the Rasch model [diss]. Dissertation Abstracts International, 49, 0778A, Department of Education, Division of the Social Sciences: University of Chicago (376 pages, 23 figures, 31 tables).Fisher, W. P., Jr. (1988). Truth, Method, and Measurement: The Hermeneutic of Instrumentation and the Rasch model [diss]. Dissertation Abstracts International, 49, 0778A, Department of Education, Division of the Social Sciences: University of Chicago (376 pages, 23 figures, 31 tables).
Fisher, W.P., Jr. (1994). The Rasch Debate: Validity and Revolution in Educational Measurement. In M. Wilson (Ed.), Objective Measurement: Theory into Practice, Vol. II. Norwood, NJ: Ablex Publishing Corporation.
Fisher, W.P., Jr. (1997a). Physical Disability Construct Convergence Across Instruments: Towards a Universal Metric. Journal of Outcome Measurement 1: 87–113.
Fisher, W.P., Jr. (1997b, June). What Scale-Free Measurement Means to Health Outcomes Research. Physical Medicine & Rehabilitation State of the Art Review 11: 357–373.
Fisher, W.P., Jr. (1999). Foundations for Health Status Metrology: The Stability of MOS SF-36 PF-10 Calibrations Across Samples. Journal of the Louisiana State Medical Society 151: 566–578.
Fisher, W.P., Jr. (2000). Objectivity in psychosocial measurement: What, Why, How. Journal of Outcome Measurement 4: 527–563.
Fisher, W.P., Jr. (2003a). The Mathematical Metaphysics of Measurement and Metrology: Toward Meaningful Quantification in the Human Sciences. In A. Morales (Ed.), Renascent Pragmatism: Studies in Law and Social Science. Burlington, VT: Ashgate Publishing Co.
Fisher, W.P., Jr. (2003b, December). Mathematics, Measurement, Metaphor, Metaphysics: Part I. Implications for Method in Postmodern Science. Theory & Psychology 13: 753–790.
Fisher, W.P., Jr., Eubanks, R.L. and Marier, R.L. (1997). Equating the MOS SF36 and the LSU HSI Physical Functioning Scales. Journal of Outcome Measurement 1: 329-362.
Fisher, W.P., Jr., Harvey, R.F., Taylor, P., Kilgore, K.M. and Kelly, C.K. (1995, February). Rehabits: A common Language of Functional Assessment. Archives of Physical Medicine and Rehabilitation 76: 113–122.
Fisher, W.P., Jr. and Wright, B.D. (1994). Introduction to Probabilistic Conjoint Measurement theory and Applications. International Journal of Educational Research 21: 559–568.
Gadamer, H.-G. (1980). Dialogue and Dialectic: Eight Hermeneutical Studies on Plato. Trans. P.C. Smith. New Haven, CT: Yale University Press.Gadamer, H.-G. (1980). Dialogue and Dialectic: Eight Hermeneutical Studies on Plato. Trans. P. C. Smith. New Haven, CT: Yale University Press.
Gadamer, H.-G. (1981). Reason in the Age of Science. Trans. F.G. Lawrence. Cambridge, MA: MIT Press.Gadamer, H.-G. (1981). Reason in the Age of Science. Trans. F. G. Lawrence. Cambridge, MA: MIT Press.
Gadamer, H.-G. (1986). The Idea of the Good in Platonic–Aristotelian Philosophy. Trans. P.C. Smith. New Haven: CT: Yale University Press.Gadamer, H.-G. (1986). The Idea of the Good in Platonic--Aristotelian Philosophy. Trans. P. C. Smith. New Haven: CT: Yale University Press.
Gadamer, H.-G. (1989). Truth and Method (rev. ed.). Trans. J. Weinsheimer and D.G. Marshall. New York: Crossroad.Gadamer, H.-G. (1989). Truth and Method (rev. ed.). Trans. J. Weinsheimer and D. G. Marshall. New York: Crossroad.
Gadamer, H.-G. (1991). Plato’s Dialectical Ethics: Phenomenological Interpretations Relating to the Philebus. Trans. R.M. Wallace. New Haven: CT: Yale University Press.Gadamer, H.-G. (1991). Plato’s Dialectical Ethics: Phenomenological Interpretations Relating to the Philebus. Trans. R. M. Wallace. New Haven: CT: Yale University Press.
Gerhart, M. and Russell, A. (1984). Metaphoric Process: The Creation of Scientific and Religious Understanding, Foreword by Paul Ricoeur. Fort Worth: Texas Christian University Press.Gerhart, M. and Russell, A. (1984). Metaphoric Process: The Creation of Scientific and Religious Understanding, Foreword by Paul Ricoeur. Fort Worth: Texas Christian University Press.
Hallyn, F. (Ed.). (2000). Metaphor and Analogy in the Sciences. Hingham, MA: Kluwer.Hallyn, F. (Ed.). (2000). Metaphor and Analogy in the Sciences. Hingham, MA: Kluwer.
Hambleton, R.K. and Swaminathan, H. (1985). Item Response Theory: Principles and Applications. Hingham MA: Kluwer.
Heelan, P. (1983, June). Natural Science as a Hermeneutic of Instrumentation. Philosophy of Science 50: 181–204.
Heidegger, M. (1966). Discourse on Thinking: A Translation of Gelassenheit. Trans. J.M. Anderson and E.H. Freund. New York: Harper & Row.Heidegger, M. (1966). Discourse on Thinking: A Translation of Gelassenheit. Trans. J. M. Anderson and E. H. Freund. New York: Harper & Row.
Heidegger, M. (1967). What is a Thing? Trans. W.B. Barton, Jr. and V. Deutsch. South Bend, IN: Regnery/Gateway.Heidegger, M. (1967). What is a Thing? Trans. W. B. Barton, Jr. and V. Deutsch. South Bend, IN: Regnery/Gateway.
Heidegger, M. (1971). On the Way to Language. Trans. P.D. Hertz. New York: Harper & Row.Heidegger, M. (1971). On the Way to Language. Trans. P. D. Hertz. New York: Harper & Row.
Heidegger, M. (1982). The Basic Problems of Phenomenology. Ed. J.M. Edie, Trans. A. Hofstadter. Bloomington: Indiana University Press.Heidegger, M. (1982). The Basic Problems of Phenomenology. Ed. J. M. Edie, Trans. A. Hofstadter. Bloomington: Indiana University Press.
Heilbron, J.L. (1993). Weighing Imponderables and Other Quantitative Science Around 1800. Historical Studies in the Physical and Biological Sciences (Vol. 24 (Supplement), Part I, pp. 1–337). Berkeley: University of California Press.
Holm, K. and Kavanagh, J. (1985). An Approach to Modifying Self-Report Instruments. Research in Nursing and Health 8: 13–18.
Holton, G. (1988). Thematic Origins of Scientific Thought, rev. ed. Cambridge, MA: Harvard University Press.
Husserl, E. (1970). The Crisis of European Sciences and Transcendental Phenomenology. Evanston, IL: Northwestern University Press.
Ihde, D. (1991). Instrumental Realism: The Interface Between Philosophy of Science and Philosophy of Technology. Bloomington: Indiana University Press.
Ihde, D. (1998). Expanding Hermeneutics: Visualism in Science. Evanston, IL: Northwestern University Press.
Kearney, R. (1984). Dialogues with Contemporary Continental thinkers: The Phenomenological Heritage. Manchester: Manchester University Press.
Kelley, P.R. and Schumacher, C.F. (1984, December). The Rasch Model: Its Use by the National Board of Medical Examiners. In Evaluation and the Health Professions.Kelley, P. R. and Schumacher, C. F. (1984, December). The Rasch Model: Its Use by the National Board of Medical Examiners. In Evaluation and the Health Professions.
Kuhn, T.S. (1961). The Function of Measurement in Modern Physical Science. Isis 52(168): 161–193. (Rpt. in The Essential Tension: Selected Studies in Scientific Tradition and Change. Chicago: University of Chicago Press).
Kuhn, T.S. (1977). The Essential Tension: Selected Studies in Scientific Tradition and Change. Chicago: University of Chicago Press.
Kuhn, T.S. (1979). Metaphor in Science. In A. Ortony (Ed.), Metaphor and Thought. New York: Cambridge University Press.
Latour, B. (1987). Science in Action: How to Follow Scientists and Engineers Through Society. New York: Cambridge University Press.
Latour, B. (1999). Pandora’s Hope: Essays on the Reality of Science Studies. Cambridge, MA: Harvard University Press.
Linacre, J.M. (1999). Understanding Rasch measurement: Estimation methods for Rasch measures. Journal of Outcome Measurement 3: 382–405.
Linacre, J.M. (2003). A User’s Guide to WINSTEPS Rasch-Model Computer Program, v. 3.38. Chicago: Winsteps.com.
Mandel, J. (1978, December). Interlaboratory testing. ASTM Standardization News 6: 11-12.
Martin, J. and Sugarman, J. (2001, April). Interpreting human kinds: Beginnings of a hermeneutic psychology. Theory & Psychology 11: 193–207.
Michell, J. (1990). An Introduction to the Logic of Psychological Measurement. Mahwah, NJ: LEA, Inc.
Michell, J. (2000, October). Normal Science, Pathological Science and Psychometrics. Theory & Psychology 10: 639–667.
Moulton, M. (1993). Probabilistic mapping. Rasch Measurement Transactions 7(1): 268.
Mundy, B. (1986). On the General Theory of Meaningful Representation. Synthese 67: 391–437.
Narens, L. (2002). Theories of Meaningfulness. Mahwah, NJ: LEA, Inc.
Nietzsche, F. (1967). The Will to Power. New York: Vintage.
O’Connell, J. (1993). Metrology: The Creation of Universality by the Circulation of Particulars. Social Studies of Science 23: 129–173.
Page, C. (1987, March). Axiomatics, hermeneutics, and practical rationality. International Philosophical Quarterly XXVII(1): 81–100.
Pledge, H.T. (1939). Science Since 1500: A Short History of Mathematics, Physics, Chemistry, Biology. London: His Majesty’s Stationery Office.
Rasch, G. (1960). Probabilistic Models for Some Intelligence and Attainment Tests (reprint, with Foreword and Afterword by B.D. Wright, Chicago: University of Chicago Press, 1980). Copenhagen: Danmarks Paedogogiske Institut.Rasch, G. (1960). Probabilistic Models for Some Intelligence and Attainment Tests (reprint, with Foreword and Afterword by B. D. Wright, Chicago: University of Chicago Press, 1980). Copenhagen: Danmarks Paedogogiske Institut.
Rasch, G. (1961). On General Laws and the Meaning of Measurement in Psychology. In Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability. Berkeley: University of California Press.
Rasch, G. (1977). On Specific Objectivity: An Attempt at Formalizing the Request for Generality and Validity of Scientific Statements. Danish Yearbook of Philosophy 14: 58-94.
Ricoeur, P. (1974). Violence and Language. In D. Stewart and J. Bien (Eds.), Political and Social Essays by Paul Ricoeur. Athens: Ohio University Press.
Ricoeur, P. (1977). The Rule of Metaphor: Multi-Disciplinary Studies of the Creation of Meaning in Language. Trans. Robert Czerny. Toronto: University of Toronto Press.Ricoeur, P. (1977). The Rule of Metaphor: Multi-Disciplinary Studies of the Creation of Meaning in Language. Trans. Robert Czerny. Toronto: University of Toronto Press.
Ricoeur, P. (1981). Hermeneutics and the Human Sciences: Essays on Language, Action and Interpretation. Trans. J.B. Thompson. New York: Cambridge University Press.Ricoeur, P. (1981). Hermeneutics and the Human Sciences: Essays on Language, Action and Interpretation. Trans. J. B. Thompson. New York: Cambridge University Press.
Risser, J. (1989). The Two Faces of Socrates: Gadamer/Derrida. In D.P. Michelfelder and R.E. Palmer (Eds.), Dialogue & Deconstruction: The Gadamer–Derrida Encounter. Albany: State University of New York Press.
Roche, J. (1998). The Mathematics of Measurement: A Critical History. London: Athlone Press.
Scott, J.F. (1960). A History of Mathematics. London: Taylor & Francis.
Smith, E.V., Jr. (2002). Detecting and Evaluating the Impact of Multidimensionality Using Item Fit Statistics and Principal Component Analysis of Residuals. Journal of Applied Measurement 3: 205–231.
Smith, M.W. (1990). Understanding of Irony in Poetry. Rasch Measurement Transactions 4: 89–91.
Smith, R.M. (2000). Fit Analysis in Latent Trait Measurement Models. Journal of Applied Measurement 1: 199–218.
Stengers, I. (2000). Theory Out of Bounds. Vol. 19: The Invention of Modern Science. Trans. D.W. Smith. Minneapolis: University of Minnesota Press.Stengers, I. (2000). Theory Out of Bounds. Vol. 19: The Invention of Modern Science. Trans. D. W. Smith. Minneapolis: University of Minnesota Press.
Stucki, G., Daltroy, L., Katz, N., Johannesson, M. and Liang, M.H. (1996). Interpretation of Change Scores in Ordinal Clinical Scales and Health Status Measures: The Whole May Not Equal the Sum of the Parts. Journal of Clinical Epidemiology 49: 711–717.
Suppes, P., Krantz, D.H., Luce, R.D. and Tversky, A. (1989). Foundations of Measurement, Volume II: Geometric and Probabilistic Representations. New York: Academic Press.
Thurstone, L.L. (1959). The Measurement of Values. Chicago: University of Chicago Press.
van der Linden, W.J. and Hambleton, R.K. (1997). Item Response Theory: A Brief History. In W.J. van der Linden and R.K. Hambleton (Eds.), Handbook of Modern Item Response Theory (IRT). New York: Springer-Verlag.
Waugh, R.F. (2003). Measuring Attitudes and Behaviors to Studying and Learning for University Students: A Rasch Measurement Model Analysis. Journal of Applied Measurement 4: 164–180.
Wernimont, G. (1978, December). Careful Intralaboratory Study Must Come First. ASTM Standardization News 6: 11–12.
Wilshire, B. (1982). Role Playing and Identity: The Limits of Theatre as Metaphor. Bloomington: Indiana University Press.
Wise, M.N. (Ed.). (1995). The Values of Precision. Princeton: Princeton University Press.Wise, M. N. (Ed.). (1995). The Values of Precision. Princeton: Princeton University Press.
Wittgenstein, L. (1980). Culture and Value. Ed. G.H. von Wright, in collaboration with H. Nyman, Trans. B. Winch. Chicago: University of Chicago Press.Wittgenstein, L. (1980). Culture and Value. Ed. G. H. von Wright, in collaboration with H. Nyman, Trans. B. Winch. Chicago: University of Chicago Press.
Wolfe, E.W. (2000). Equating and Item Banking With the Rasch Model. Journal of Applied Measurement 1: 409–434.
Wood, D. and Bernasconi, R. (1988). Derrida and Différance. Evanston, IL: Northwestern University Press.
Wright, B.D. (1984). Despair and Hope for Educational Measurement. Contemporary Education Review 3: 281–288.
Wright, B.D. (1997, Winter). A History of Social Science Measurement. Educational Measurement: Issues and Practice 16: 33–45, 52.
Wright, B.D. and Mok, M. (2000). Understanding Rasch Measurement: Rasch Models Overview. Journal of Applied Measurement 1: 83–106.
Wright, B.D. and Stone, M.H. (1979). Best Test Design: Rasch Measurement. Chicago: MESA Press.
Wu, M.L., Adams, R.J. and Wilson, M.R. (1998). ConQuest: Generalized Item Response Modelling Software. Camberwell, Victoria, Australia: Australian Council for Educational Research.
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FISHER, W.P. Meaning and Method in the Social Sciences1 . Hum Stud 27, 429–454 (2004). https://doi.org/10.1007/s10746-004-3339-z
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DOI: https://doi.org/10.1007/s10746-004-3339-z