Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-12-04T19:23:00.388Z Has data issue: false hasContentIssue false

Approximate Truth and Scientific Realism

Published online by Cambridge University Press:  01 April 2022

Thomas Weston*
Affiliation:
Department of Philosophy, San Diego State University
*
Send reprint requests to the author, Department of Philosophy, College of Arts and Letters, San Diego State University, San Diego, CA 92182-0303, USA.

Abstract

This paper describes a theory of accuracy or approximate truth and applies it to problems in the realist interpretation of scientific theories. It argues not only that realism requires approximate truth, but that an adequate theory of approximation also presupposes some elements of a realist interpretation of theories.

The paper distinguishes approximate truth from vagueness, probability and verisimilitude, and applies it to problems of confirmation and deduction from inaccurate premises. Basic results are cited, but details appear elsewhere. Objections are surveyed, including arguments by Miller, Laymon, and Laudan. Comparison is made with Niiniluoto's theory of verisimilitude, and the utility of his theory for realism assessed.

Type
Research Article
Copyright
Copyright © Philosophy of Science Association 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Thanks to R. Boyd, A. Garfinkel, H. Hertz, R. Thomason, S. Weissman and anonymous referees for advice and criticism.

References

Adams, E. (1974), “The Logic of ‘Almost All‘”, Journal of Philosophical Logic 3: 317.CrossRefGoogle Scholar
Adams, E. (1982), “Approximate Generalizations and Their Idealization”, in Asquith, P. and Nickles, T. (eds.), PSA 1982, vol. 1. East Lansing: Philosophy of Science Association, pp. 199207.Google Scholar
Boyd, R. (1973), “Realism, Underdetermination, and a Causal Theory of Evidence”, Nous 7: 112.CrossRefGoogle Scholar
Boyd, R. (1981), “Scientific Realism and Naturalistic Epistemology”, in Asquith, P. D. and Giere, R. N. (eds.), PSA 1980, vol. 2. East Lansing: Philosophy of Science Association, pp. 613662.Google Scholar
Boyd, R. (1984), “The Current Status of Scientific Realism”, in Leplin, J. (ed.), Scientific Realism. Berkeley and Los Angeles: University of California, pp. 4182.CrossRefGoogle Scholar
Boyd, R. (1985a), “Lex Orandi est Lex Credendi”, in Churchland, P. M. and Hooker, C. A., (eds.), P. M. Churchland and C. A. Hooker, Chicago: University of Chicago Press, pp. 334.Google Scholar
Boyd, R. (1985b), “Observations, Explanatory Power, and Simplicity: Toward a Non-Humean Account”, in Achinstein, P. and Hannaway, O. (eds.), Observation, Experiment, and Hypothesis in Modern Physical Science. Cambridge, MA: MIT Press, pp. 4794.Google Scholar
Cavendish, H. ([1766] 1952), “Three Papers, Containing Experiments on Factitious Air”, in H. M. Leicester and H. S. Klickstein, A Source Book in Chemistry, 1400–1900. Cambridge, MA: Harvard University Press, pp. 134153.Google Scholar
Davis, P. J. (1975), Interpolation and Approximation. New York: Dover.Google Scholar
Hilpinen, R. (1976), “Approximate Truth and Truthlikeness”, in M. Przelecki, K. Szaniawski, and R. Wojcicki, Formal Methods in the Methodology of the Empirical Sciences. Dordrecht: Reidel, pp. 1942.CrossRefGoogle Scholar
Hintikka, J. (1970), “Surface Information and Depth Information”, in J. Hintikka and P. Suppes, Information and Inference. Dordrecht: Reidel, pp. 263297.CrossRefGoogle Scholar
Huber, P. J. (1972), “Robust Statistics”, Annals of Mathematical Statistics 43: 10411067.CrossRefGoogle Scholar
Iyanaga, S. and Kawada, Y. (1977), Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press.Google Scholar
Kline, S. J. (1965), Similitude and Approximation Theory. New York, Academic Press.Google Scholar
Kuhn, T. S. (1970), The Structure of Scientific Revolutions. 2d ed. Chicago: University of Chicago.Google Scholar
LaSalle, J. and Lefchetz, S. (1961), Stability by Liapunov's Direct Method. New York: Academic Press.Google Scholar
Laudan, L. (1977), Progress and Its Problems: Towards a Theory of Scientific Growth. Berkeley and Los Angeles: University of California.Google Scholar
Laudan, L. (1981), “A Confutation of Convergent Realism”, Philosophy of Science 48: 1949.CrossRefGoogle Scholar
Laymon, R. (1985), “Idealization and the Testing of Theories by Experimentation”, in Achinstein, P. and Hannaway, O. (eds.), Observation, Experiment, and Hypothesis in Modern Physical Science. Cambridge, MA: MIT Press, pp. 147173.Google Scholar
Leplin, J. (1984), “Truth and Scientific Progress”, in Scientific Realism. Berkeley and Los Angeles: University of California, pp. 193217.CrossRefGoogle Scholar
Mackenzie, D. (1978), “Statistical Theory and Social Interests: A Case-Study”, Social Studies of Science 8: 3583.CrossRefGoogle ScholarPubMed
Mikhlin, S. (1970), Mathematical Physics: An Advanced Course. Amsterdam: North-Holland.Google Scholar
Miller, D. (1975), “The Accuracy of Predictions”, Synthese 30: 159191.CrossRefGoogle Scholar
Nagel, E. (1963), “Carnap's Theory of Induction”, in Schilpp, P. A. (ed.), The Philosophy of Rudolf Carnap. LaSalle: Open Court, pp. 785825.Google Scholar
Niiniluoto, I. (1982), “Truthlikeness for Quantitative Statements”, in Asquith, P. and Nickles, T. (eds.), PSA 1982, vol. 1. East Lansing: Philosophy of Science Association, pp. 208215.Google Scholar
Niiniluoto, I. (1984), Is Science Progressive? Dordrecht: Reidel.CrossRefGoogle Scholar
Niiniluoto, I. (1987), Truthlikeness. Dordrecht: Reidel.CrossRefGoogle Scholar
Phillips, E. R. (1971), An Introduction to Analysis and Integration Theory. Scranton, PA: Intext Educational Publishers.Google Scholar
Popper, K. (1962), Conjectures and Refutations. London: Basic Books.Google Scholar
Putnam, H. (1975a), “The ‘Corroboration’ of Theories”, in Philosophical Papers. Vol. 1, Mathematics, Matter and Method. Cambridge, England: Cambridge University Press, pp. 250269.Google Scholar
Putnam, H. (1975b), “How Not to Talk about Meaning”, in Philosophical Papers. Vol. 2, Mind, Language, and Reality. Cambridge, England: Cambridge University Press, pp. 117131.CrossRefGoogle Scholar
Smart, J. J. C. (1968), Between Science and Philosophy. New York: Random House.Google Scholar
Soo, S. L. (1962), Analytical Thermodynamics. Englewood Cliffs: Prentice-Hall.Google Scholar
Thom, R. (1975), Structural Stability and Morphogenesis: An Outline of a General Theory. Reading, MA: Addison-Wesley.Google Scholar
Trigg, R. (1980), Reality at Risk: A Defence of Realism in Philosophy and the Sciences. Brighton: Harvester Press.Google Scholar
Weinberg, S. (1972), Gravitation and Cosmology. New York: Wiley.Google Scholar
Weston, T. (1977), Abstract for “Approximate Truth”, Journal of Symbolic Logic 42: 157158.Google Scholar
Weston, T. (1987), “Approximate Truth”, Journal of Philosophical Logic 16: 203227.CrossRefGoogle Scholar