Skip to main content
Log in

Computational empiricism

  • The Foundation of Statistics
  • Published:
Foundations of Science Aims and scope Submit manuscript

Abstract

I argue here for a number of ways that modern computational science requires a change in the way we represent the relationship between theory and applications. It requires a switch away from logical reconstruction of theories in order to take surface mathematical syntax seriously. In addition, syntactically different versions of the “same” theory have important differences for applications, and this shows that the semantic account of theories is inappropriate for some purposes. I also argue against formalist approaches in the philosophy of science and for a greater role for perceptual knowledge rather than propositional knowledge in scientific empiricism.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Barwise, J. and Feferman, S. (1985),Model-Theoretic Logics. New York: Springer-Verlag.

    Google Scholar 

  • Carnap, R. (1956), Empiricism, semantics, and ontology, pp. 205–21 in hisMeaning and Necessity (2nd Ed.). Chicago: University of Chicago Press.

    Google Scholar 

  • Goodman, N. (1978),Ways of Worldmaking. Indianapolis: Hackett Publishing Company.

    Google Scholar 

  • Gridgeman, N. (1960), Geometric Probability and the Number π,Scripta Mathematica 25, 183–195.

    Google Scholar 

  • Guenther, R. and Lee, J. (1988),Partial Differential Equations of Mathematical Physics and Integral Equations. Englewood Cliffs: Prentice-Hall.

    Google Scholar 

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

    Book  Google Scholar 

  • Hooker, C.A. (ed.) (1975),The Logico-Algebraic Approach to Quantum Mechanics Volume I: Historical Evolution, Dordrecht: D. Reidel Publishing Company.

    Google Scholar 

  • Hughes, R. I. G. (1989),The Structure and Interpretation of Quantum Mechanics. Cambridge: Harvard University Press.

    Google Scholar 

  • Humphreys, P. (1991), Computer Simulations, pp. 497–506 inPSA 1990, Volume II, A.Fine, M.Forbes, and L.Wessels (eds). East Lansing: Philosophy of Science Association.-(1994), Numerical Experimentation, pp. 103–121 inPatrick Suppes: Scientific Philosopher, Volume 2, P. Humphreys (ed). Dordrecht: Kluwer Academic Publishers.-(forth-coming), Computational Science and Scientific Method inMinds and Machines.

    Google Scholar 

  • Laplace, Pierre Simon Marquis de (1795),Essai philosophique sur les probabilités. Translated asA Philosophical Essay on Probabilities. New York: Dove Publications (1951).

  • Morse, P. and Feshbach, H. (1953),Methods of Theoretical Physics, Part 1. New York: McGraw-Hill, Inc.

    Google Scholar 

  • Putnam, H. (1980), Models and Reality,Journal of Symbolic Logic 45, 464–82.

    Article  Google Scholar 

  • Quine, W. V. O. (1969), Ontological Relativity in hisOntological Relativity and Other Essays. New York: Columbia University Press.

    Google Scholar 

  • Redhead, M. L. G. (1987),Incompleteness, Nonlocality, and Realism: A Prolegomenon to the Philosophy of Quantum Mechanics, Oxford: The Clarendon Press.

    Google Scholar 

  • Rohrlich, F. (1991), Computer Simulations in the Physical Sciences, pp. 507–518 inPSA 1990, Volume 2, A.Fine, M.Forbes, and L.Wessels (eds). E. Lansing: Philosophy of Science Association.

    Google Scholar 

  • Roman, P. (1965),Advanced Quantum Theory. Reading (Mass.): Addison Wesley Publishing Company.

    Google Scholar 

  • Suppes, P. (1970),Set-Theoretical Structures in Science. Mimeo manuscript, Institute for Mathematical Studies in the Social Sciences, Stanford University.

  • vanFraassen, B. (1972), A Formal Approach to the Philosophy of Science, pp. 303–366 inParadigms and Paradoxes, R.Colodny (ed.). Pittsburgh: University of Pittsburgh Press.

    Google Scholar 

  • vonNeumann, J. (1932/1955),Mathematische Grundlagen der Quantenmechanik. Berlin: Springer. Translated asMathematical Foundations of Quantum Mechanics. Princeton: Princeton University Press.

    Google Scholar 

  • White, R.L. (1966),Basic Quantum Mechanics, New York: McGraw-Hill Book Company.

    Google Scholar 

  • Williams, D., Pelton, A., and Gronsky, R. (1991),Images of Materials. Oxford: Oxford University Press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The term ‘computational empiricism’ was suggested to me in conversation at a philosophy conference in Venice, Italy in June 1991 by someone whose name I have unfortunately forgotten. It seemed to capture perfectly the set of techniques I had described in my talk there, and I have since adopted it. I thank the originator of this term, whoever he is.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Humphreys, P. Computational empiricism. Found Sci 1, 119–130 (1995). https://doi.org/10.1007/BF00208728

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00208728

Key words

Navigation