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Must scientific diagrams be eliminable? The case of path analysis

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Abstract

Scientists use a variety of modes of representation in their work, but philosophers have studied mainly sentences expressing propositions. I ask whether diagrams are mere conveniences in expressing propositions or whether they are a distinct, ineliminable mode of representation in scientific texts. The case of path analysis, a statistical method for quantitatively assessing the relative degree of causal determination of variation as expressed in a causal path diagram, is discussed. Path analysis presents a worst case for arguments against eliminability since path diagrams are usually presumed to be mathematically or logically “equivalent” in an important sense to sets of linear path equations. I argue that path diagrams are strongly generative, i.e., that they add analytical power to path analysis beyond what is supplied by linear equations, and therefore that they are ineliminable in a strong scientific sense.

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References

  • Cartwright, N.: 1983,How the Laws of Physics Lie, Oxford University Press, New York.

    Google Scholar 

  • Cartwright, N.: 1989,Nature's Capacities and Their Measurement, Oxford University Press, New York.

    Google Scholar 

  • Duhem, P.: 1954,The Aim and Structure of Physical Theory, Princeton University Press, Princeton.

    Google Scholar 

  • Fisher, R. A.: 1918, ‘The Correlation Between Relatives on the Supposition of Mendelian Inheritance’,Transactions of the Royal Society of Edinburgh 52, 399–433.

    Google Scholar 

  • Goodman, N.: 1976,Languages of Art, Hackett Publishing Co., Indianapolis.

    Google Scholar 

  • Goodman, N., and C. Elgin: 1988,Reconceptions in Philosophy and Other Arts and Sciences, Hackett Publishing Co., Indianapolis.

    Google Scholar 

  • Griesemer, J., and W. Wimsatt: 1989, ‘Picturing Weismannism: A Case Study of Conceptual Evolution’, in M. Ruse (ed.),What the Philosophy of Biology Is, Essays for David Hull, Kluwer Academic Publishers, Dordrecht, pp. 75–137.

    Google Scholar 

  • Hacking, I.: 1983,Representing and Intervening, Cambridge University Press, Cambridge.

    Google Scholar 

  • Hull, D.: 1976, ‘Informal Aspects of Theory Reduction’, in R. Cohen and A. Michalos (eds.),PSA 1974, D. Reidel, Dordrecht, pp. 653–670.

    Google Scholar 

  • Irzik, G.: 1986, ‘Causal Modeling and the Statistical Analysis of Causation’, in A. Fine and P. Machamer (eds.),PSA 1986, Vol. 1, Philosophy of Science Association, East Lansing, pp. 12–23.

    Google Scholar 

  • Irzik, G., and E. Meyer: 1987, ‘Causal Modeling: New Directions for Statistical Explanations’,Philosophy of Science 54, 495–514.

    Article  Google Scholar 

  • Johnson-Laird, P.: 1983,Mental Models, Harvard University Press, Cambridge.

    Google Scholar 

  • Larkin, J., and H. Simon: 1987, ‘Why a Diagram Is (Sometimes) Worth Ten Thousand Words’,Cognitive Science 11, 65–100.

    Article  Google Scholar 

  • Latour, B.: 1987,Science in Action, Harvard University Press, Cambridge.

    Google Scholar 

  • Li, C.: 1975,Path Analysis—A Primer, Boxwood Press, Pacific Grove.

    Google Scholar 

  • Nersessian, N.: 1987, ‘A Cognitive-Historical Approach to Meaning in Scientific Theories’, in N. Nersessian (ed.),The Process of Science, Martinus Nijhoff Publishers, Dordrecht, pp. 161–177.

    Google Scholar 

  • Nersessian, N.: 1988, ‘Reasoning from Imagery and Analogy in Scientific Concept Formation’, in A. Fine and J. Leplin (eds.),PSA 1988, Vol. 1, Philosophy of Science Association, East Lansing, pp. 41–47.

    Google Scholar 

  • Nickles, T.: 1989, ‘Truth or Consequences? Generative Versus Consequential Justification in Science’, in A. Fine and J. Leplin (eds.),PSA 1988, Vol. 2, Philosophy of Science Association, East Lansing, pp. 393–405.

    Google Scholar 

  • Niles, H. E.: 1922, ‘Correlation, Causation, and Wright's Theory of “Path Coefficients”’,Genetics 7, 258–273.

    Google Scholar 

  • Provine, W.: 1986,Sewall Wright and Evolutionary Biology, University of Chicago Press, Chicago.

    Google Scholar 

  • Schank, J., and W. Wimsatt: 1987, ‘Generative Entrenchment and Evolution’, in A. Fine and P. Machamer (eds.),PSA 1986, Vol. 2, Philosophy of Science Association, East Lansing, pp. 33–60.

    Google Scholar 

  • Tukey, J.: 1954, ‘Causation, Regression and Path Analysis’, in O. Kempthorne, T. Bancroft, J. Gowen and J. Lush (eds.),Statistics and Mathematics in Biology, Iowa State College Press, Ames, pp. 35–66.

    Google Scholar 

  • Turner, M., and C. Stevens: 1959, ‘The Regression Analysis of Causal Paths’,Biometrics 15, 236–258.

    Google Scholar 

  • Wimsatt, W.: 1976, ‘Reductive Explanation: A Functional Account’, in R. Cohen and A. Michalos (eds.),PSA 1974, D. Reidel, Dordrecht, pp. 671–710.

    Google Scholar 

  • Wimsatt, W.: 1980, ‘Reductionistic Research Strategies and Their Biases in the Units of Selection Controversy’, in T. Nickles (ed.),Scientific Discovery: Case Studies, D. Reidel, Dordrecht, pp. 213–259.

    Google Scholar 

  • Wimsatt, W.: 1986, ‘Developmental Constraints, Generative Entrenchment, and the Innate-Acquired Distinction’, in W. Bechtel (ed.),Integrating Scientific Disciplines, Martinus Nijhoff Publishers, Dordrecht, pp. 185–208.

    Google Scholar 

  • Wittgenstein, L.: 1961,Tractatus Logico-Philosophicus, D. Pears and B. McGuinness (transl.), Routledge and Kegan Paul, London.

    Google Scholar 

  • Woodward, J.: 1988, ‘Understanding Regression’, in A. Fine and J. Leplin (eds.),PSA 1988, Vol. 1, Philosophy of Science Association, East Lansing, pp. 255–269.

    Google Scholar 

  • Wright, S.: 1918, ‘On the Nature of Size Factors’,Genetics 3, 367–374.

    Google Scholar 

  • Wright, S.: 1920, ‘The Relative Importance of Heredity and Environment in Determining the Piebald Pattern of Guinea Pigs’,Proceedings of the National Academy of Science 6, 320–332.

    Article  Google Scholar 

  • Wright, S.: 1921a, ‘Correlation and Causation’,Journal of Agricultural Research 20, 557–585.

    Google Scholar 

  • Wright, S.: 1921b, ‘Systems of Mating’,Genetics 6, 111–178.

    Google Scholar 

  • Wright, S.: 1923a, ‘Mendelian Analysis of the Pure Breeds of Livestock I. The Measurement of Inbreeding and Relationship’,Journal of Heredity 14, 339–348.

    Google Scholar 

  • Wright, S.: 1923b, ‘The Theory of Path Coefficients — A Reply to Niles' Criticism’,Genetics 8, 239–255.

    Google Scholar 

  • Wright, S.: 1934, ‘The Method of Path Coefficients’,Annals of Mathematical Statistics 5, 161–215.

    Google Scholar 

  • Wright, S.: 1954, ‘The Interpretation of Multivariate Systems’, in O. Kempthorne, T. Bancroft, J. Gowen and J. Lush (eds.),Statistics and Mathematics in Biology, Iowa State College Press, Ames, pp. 11–33.

    Google Scholar 

  • Wright, S.: 1960, ‘Path Coefficients and Path Regressions: Alternative or Complementary Concepts?’,Biometrics 16, 189–202.

    Google Scholar 

  • Wright, S.: 1968,Evolution and the Genetics of Populations, Vol. 1, Genetic and Biometric Foundations, University of Chicago Press, Chicago.

    Google Scholar 

  • Wright, S.: 1984, ‘Diverse Uses of Path Analysis’, in A. Chakravarti (ed.),Human Population Genetics, Van Nostrand Reinhold Co., New York, pp. 1–34.

    Google Scholar 

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I wish to thank Michael Ruse and Peter Taylor for helpful comment on the manuscript.

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Griesemer, J.R. Must scientific diagrams be eliminable? The case of path analysis. Biol Philos 6, 155–180 (1991). https://doi.org/10.1007/BF02426836

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