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5 - Induction and Severe Testing

Published online by Cambridge University Press:  29 January 2010

Deborah G. Mayo
Affiliation:
Virginia Polytechnic Institute and State University
Aris Spanos
Affiliation:
Virginia Polytechnic Institute and State University
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Summary

Although I have offered some criticisms of her views on evidence and testing (Achinstein, 2001, pp. 132–40), I very much admire Deborah Mayo's book (1996) and her other work on evidence. As she herself notes in the course of showing how misguided my criticism is, we actually agree on two important points. We agree that whether e, if true, is evidence that h, in the most important sense of “evidence,” is an objective fact, not a subjective one of the sort many Bayesians have in mind. And we agree that it is an empirical fact, not an a priori one of the sort Carnap has in mind. Here I will take a broader and more historical approach than I have done previously and raise some general questions about her philosophy of evidence, while looking at a few simple examples in terms of which to raise those questions. It is my hope that, in addition to being of some historical interest, this chapter will help clarify differences between us.

Mill under Siege

One of Mayo's heroes is Charles Peirce. Chapter 12 of Mayo's major work, which we are honoring, is called “Error Statistics and Peircean Error Correction.” She has some very convincing quotes from Peirce suggesting that he was a model error-statistical philosopher. Now I would not have the Popperian boldness to say that Mayo is mistaken about Peirce; that is not my aim here.

Type
Chapter
Information
Error and Inference
Recent Exchanges on Experimental Reasoning, Reliability, and the Objectivity and Rationality of Science
, pp. 170 - 201
Publisher: Cambridge University Press
Print publication year: 2009

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References

Achinstein, P. (2001), The Book of Evidence, Oxford University Press, New York.CrossRefGoogle Scholar
Achinstein, P., ed. (2005), Scientific Evidence: Philosophical Theories and Applications, Johns Hopkins University Press, Baltimore, MD.
Mandelbaum, M. (1964), Philosophy, Science, and Sense Perception, Johns Hopkins University Press, Baltimore, MD.Google Scholar
Mayo, D.G. (1996), Error and the Growth of Experimental Knowledge, University of Chicago Press, Chicago.CrossRefGoogle Scholar
Mayo, D.G. (2005), “Evidence as Passing Severe Tests: Highly Probed vs. Highly Proved,” pp. 95–127 in Achinstein, P. (ed.), Scientific Evidence: Philosophical Theories and Applications, Johns Hopkins University Press, Baltimore, MD.Google Scholar
Mill, J.S. (1888), A System of Logic, 8th edition, Harper and Bros., New York.Google Scholar
Newton, I. (1999), Principia (trans. Cohen, I.B. and Whitman, A.), University of California Press.Google Scholar
Peirce, C.S. (1931–1935), Collected Papers, Hartshorne, C. and Weiss, P. (eds.), Harvard University Press, Cambridge, MA.Google Scholar
Achinstein, P. (2001), The Book of Evidence, Oxford University Press, Oxford.CrossRefGoogle Scholar
Buldt, B. (2000), “Inductive Logic and the Growth of Methodological Knowledge, Comment on Mayo,” pp. 345–54 in Carrier, M., Massey, G., and Ruetsche, L. (eds.), Science at Century's End, Philosophical Questions on the Progress and Limits of Science, University of Pittsburgh Press, Pittsburgh.CrossRefGoogle Scholar
Howson, C. (1997a), “A Logic of Induction,” Philosophy of Science, 64: 268–90.CrossRefGoogle Scholar
Mayo, D.G. (1996), Error and the Growth of Experimental Knowledge, The University of Chicago Press, Chicago.CrossRefGoogle Scholar
Mayo, D.G. (1997a), “Response to Howson and Laudan,” Philosophy of Science, 64: 323–33.CrossRefGoogle Scholar
Mayo, D.G. (2003), “Could Fisher, Jeffreys and Neyman Have Agreed on Testing? Commentary on J. Berger's Fisher Address,” Statistical Science, 18: 19–24.Google Scholar
Mayo, D.G. (2005), “Evidence as Passing Severe Tests: Highly Probed vs. Highly Proved,” pp. 95–127 in Achinstein, P. (ed.), Scientific Evidence, Johns Hopkins University Press, Baltimore, MD.Google Scholar
Mayo, D.G. (2006), “Philosophy of Statistics,” pp. 802–15 in Sarkar, S. and Pfeifer, J. (eds.), Philosophy of Science: An Encyclopedia, Routledge, London.Google Scholar
Mill, J.S. (1888), A System of Logic, 8th edition, Harper and Bros., New York.Google Scholar
Musgrave, A. (1974), “Logical versus Historical Theories of Confirmation,” British Journal for the Philosophy of Science, 25: 1–23.CrossRefGoogle Scholar
Achinstein, P. (2000), “Why Philosophical Theories of Evidence Are (and Ought to Be) Ignored By Scientists, pp. S180–S192 in D. Howard (ed.),” Philosophy of Science, 67 (Symposia Proceedings).CrossRefGoogle Scholar
Giere, R.N. (1997b), “Scientific Inference: Two Points of View,” pp. S180–S184 in Darden, L. (ed.), Philosophy of Science, 64 (PSA 1996: Symposia Proceedings).CrossRefGoogle Scholar
Howson, C. (1997b), “Error Probabilities in Error,” pp. S185–S194 in Darden, L. (ed.), Philosophy of Science, 64 (PSA 1996: Symposia Proceedings).CrossRefGoogle Scholar
Kelly, K., Schulte, O., Juhl, C., (1997), “Learning Theory and the Philosophy of Science,” Philosophy of Science, 64: 245–67.CrossRefGoogle Scholar
Laudan, L. (1997) “How about Bust? Factoring Explanatory Power Back into Theory Evaluation,” Philosophy of Science, 64(2): 306–16.CrossRefGoogle Scholar
Mayo, D.G. (1997a), “Duhem's Problem, the Bayesian Way, and Error Statistics, or “What's Belief Got to Do with It?” 64: 222–44.
Mayo, D.G. (1997b), “Error Statistics and Learning From Error: Making a Virtue of Necessity,” pp. S195–S212 in Darden, L. (ed.), Philosophy of Science, 64 (PSA 1996: Symposia Proceedings).CrossRefGoogle Scholar
Mayo, D.G. (2000a), “Experimental Practice and an Error Statistical Account of Evidence,” pp. S193–S207 in Howard, D. (ed.), Philosophy of Science, 67 (Symposia Proceedings).CrossRefGoogle Scholar
Mayo, D.G. (2000b), “Models of Error and the Limits of Experimental Testing,” pp. 317–44 in Carrier, M., Massey, G. and Ruetsche, L. (eds.), Science at Century's End, Philosophical Questions on the Progress and Limits of Science, University of Pittsburgh Press, Pittsburgh.CrossRefGoogle Scholar
Woodward, J. (1997), “Data, Phenomena, and Reliability,” pp. S163–S179 in Darden, L. (ed.), Philosophy of Science. 64 (PSA 1996: Symposia Proceedings).Google Scholar
Achinstein, P. (2001), The Book of Evidence, Oxford University Press, New York.CrossRefGoogle Scholar
Achinstein, P., ed. (2005), Scientific Evidence: Philosophical Theories and Applications, Johns Hopkins University Press, Baltimore, MD.
Mandelbaum, M. (1964), Philosophy, Science, and Sense Perception, Johns Hopkins University Press, Baltimore, MD.Google Scholar
Mayo, D.G. (1996), Error and the Growth of Experimental Knowledge, University of Chicago Press, Chicago.CrossRefGoogle Scholar
Mayo, D.G. (2005), “Evidence as Passing Severe Tests: Highly Probed vs. Highly Proved,” pp. 95–127 in Achinstein, P. (ed.), Scientific Evidence: Philosophical Theories and Applications, Johns Hopkins University Press, Baltimore, MD.Google Scholar
Mill, J.S. (1888), A System of Logic, 8th edition, Harper and Bros., New York.Google Scholar
Newton, I. (1999), Principia (trans. Cohen, I.B. and Whitman, A.), University of California Press.Google Scholar
Peirce, C.S. (1931–1935), Collected Papers, Hartshorne, C. and Weiss, P. (eds.), Harvard University Press, Cambridge, MA.Google Scholar

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