Hostname: page-component-848d4c4894-cjp7w Total loading time: 0 Render date: 2024-06-24T02:48:48.336Z Has data issue: false hasContentIssue false

New Dimensions of Confirmation Theory

Published online by Cambridge University Press:  14 March 2022

William W. Rozeboom*
Affiliation:
University of Alberta

Abstract

When Hempel's “paradox of confirmation” is developed within the confines of conditional probability theory, it becomes apparent that two seemingly equivalent generalities (“laws”) can have exactly the same class of observational refuters even when their respective classes of confirming observations are importantly distinct. Generalities which have the inductive supports we commonsensically construe them to have, however, must incorporate quasi-logical operators or connectives which cannot be defined truth-functionally. The origins and applications of these “modalic” concepts appear to be intimately linked with a number of basic conundrums in the philosophy of science, such as causation and the nature of explanation.

Type
Research Article
Copyright
Copyright © 1968 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.)

References

[1] Carnap, R., Logical Foundations of Probability, University of Chicago Press, 1950.Google Scholar
[2] Hempel, C. G., “Recent Problems of Induction,” in Mind and Cosmos (ed. Colodny, R. G.), University of Pittsburgh Press, 1966.Google Scholar
[3] Miller, D., “A Paradox of Information,” British Journal for the Philosophy of Science, Vol. 17, 1966–7, pp. 5961.Google Scholar
[4] Rozeboom, W. W., New mysteries for old. The transfiguration of Miller's paradox. (Forthcoming)Google Scholar
[5] Rozeboom, W. W., “Comments on Rescher's ‘On the probability of Nonrecurring Events‘” in Current Issues in the Philosophy of Science (eds. Feigl, H. and Maxwell, G.), Holt, Rinehart, and Winston, 1961.Google Scholar
[6] Rozeboom, W. W., “Scaling Theory and the Nature of Measurement,” Synthese, Vol. 16, 1966, pp. 170233.CrossRefGoogle Scholar
[7] Rozeboom, W. W., “The Art of Metascience,” in Toward the Unification of Psychology (ed. Royce, J. R.), University of Toronto Press, 1968.Google Scholar
[8] Savage, L. J., The Foundations of Statistics, Wiley, 1954.Google Scholar
[9] Scheffler, I., The Anatomy of Inquiry, Knopf, 1963.Google Scholar
[10] Schlesinger, G., “Instantiation and Confirmation,” in Boston Studies in the Philosophy of Science, Vol. II (eds. R. S. Cohen and M. W. Wartofsky), Humanities Press, 1965.Google Scholar