Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-12-01T02:19:27.564Z Has data issue: false hasContentIssue false

On an Information-Theoretic Model of Explanation

Published online by Cambridge University Press:  01 April 2022

James Woodward*
Affiliation:
Division of Humanities and Social Sciences California Institute of Technology

Abstract

This paper is an assessment of an attempt, by James Greeno, to measure the explanatory power of statistical theories by means of the notion of transmitted information (It). It is argued that It has certain features that are inappropriate in a measure of explanatory power. In particular, given a statistical theory T with explanans variables Si and explanandum variables Mj, it is argued that no plausible measure of explanatory power should depend on the probability P(Si) of occurrence of initial conditions in the systems to which T applies or the magnitudes of the conditional probabilities P(Mj/Si), in the manner in which IT does.

Type
Research Article
Copyright
Copyright © The Philosophy of Science Association

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

Portions of this paper were written while I was a Visiting Fellow at the Center for Philosophy of Science at the University of Pittsburgh in 1983. I am grateful to the Center and the University of Pittsburgh for their support. I would also like to thank Brian Barry, Ron Giere, James Greeno, Joseph Hanna, and Wesley Salmon for helpful comments on an earlier draft of this paper.

References

REFERENCES

Ayala, Francisco (1982), Population and Evolutionary Genetics. Menlo Park, California: Benjamin Kummings Publishing.Google Scholar
Blalock, Hubert and Blalock, Ann B. (1964), Causal Inference in Non-Experimental Research. Chapel Hill: University of North Carolina Press.Google Scholar
Blalock, Hubert and Blalock, Ann B. (1967), “Causal Inferences, Closed Populations and Measures of Association”, The American Political Science Review 61: 130–36.CrossRefGoogle Scholar
Cartwright, Nancy (1979), “Causal Laws and Effective Strategies.” Noûs 13: 419–37.CrossRefGoogle Scholar
Fetzer, James (1981), Scientific Knowledge. Dordrecht: D. Reidel Publishing.CrossRefGoogle Scholar
Glymour, Clark (1980), “Explanations, Tests, Unity, and Necessity.” Noûs 14: 3150.CrossRefGoogle Scholar
Goldberg, Samuel (1983), Probability in Social Science. Boston: Birkhauser.CrossRefGoogle Scholar
Greeno, James (1970), “Theoretical Entities in Statistical Explanation”, in PSA 1970, Buck, R. and Cohen, R. (eds.). Dordrecht: D. Reidel Publishing, pp. 326.Google Scholar
Greeno, James [1970] (1971), “Evaluation of Statistical Hypotheses Using Information Transmitted”, in Salmon (1971). (Originally published in Philosophy of Science 37: 279–83.)CrossRefGoogle Scholar
Hanna, Joseph (1978), “On Transmitted Information as a Measure of Explanatory Power”, Philosophy of Science 45: 531–62.CrossRefGoogle Scholar
Hempel, Carl (1965), Aspects of Scientific Explanation. New York: Free Press.Google Scholar
Hempel, Carl (1968), “Maximal Specificity and Lawlikeness in Probabilistic Explanation”, Philosophy of Science 35: 116–33.CrossRefGoogle Scholar
Jammer, Max (1966), The Conceptual Development of Quantum Mechanics. New York: McGraw-Hill.Google Scholar
Jeffrey, Richard (1970), “Remarks on Explanatory Power”, in PSA 1970, Buck, R. and Cohen, R. (eds.). Dordrecht: D. Reidel Publishing, pp. 4046.Google Scholar
Lewontin, Richard [1974](1976), “The Analysis of Variance and the Analysis of Causes”, in The IQ Controversy, Block, N. J. and Dworkin, Gerald (eds.). New York: Random House. (Originally published in American Journal of Human Genetics 26: 400–411.)Google Scholar
Miller, Warren, and Stokes, Donald (1963), “Constituency Influence in Congress”, The American Political Science Review 57: 4556.CrossRefGoogle Scholar
Niiniluoto, I. (1981), “Statistical Explanation Reconsidered”, Synthese 48: 437–72.CrossRefGoogle Scholar
Pierce, John (1970), An Introduction to Information Theory. New York: Dover Publications.Google Scholar
Rosenkrantz, Roger (1970), “Experimentation as Communication with Nature”, in Information and Inference, Hintikka, Jaakko and Suppes, P. (eds.). Dordrecht: D. Reidel Publishing, pp. 5893.CrossRefGoogle Scholar
Salmon, Wesley (ed.) (1971), Statistical Explanation and Statistical Relevance. Pittsburgh: University of Pittsburgh Press.CrossRefGoogle Scholar
Salmon, Wesley (ed.) (1977), “A Third Dogma of Empiricism”, in Basic Problems in Methodology and Linguistics, Butts, Robert E. and Hintikka, Jaakko (eds.). Dordrecht: D. Reidel Publishing.Google Scholar
Schrader, Douglas (1977), “Causation, Exploration and Statistical Relevance”, Philosophy of Science 44: 135–43.Google Scholar
Shannon, Claude, and Weaver, Warren (eds.) (1949), “A Mathematical Theory of Communication”, in The Mathematical Theory of Communication. Urbana: University of Illinois Press.Google Scholar
Skyrms, Brian (1980), Causal Necessity. New Haven: Yale University Press.Google Scholar
van Fraassen, Bas (1980), The Scientific Image. Oxford: Clarendon Press.CrossRefGoogle Scholar
Woodward, James (1979), “Scientific Explanation”, The British Journal for the Philosophy of Science 30: 4167.CrossRefGoogle Scholar
Woodward, James (1980), “Developmental Explanation”, Synthese 44: 443–66.CrossRefGoogle Scholar