Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-05-17T12:35:54.726Z Has data issue: false hasContentIssue false
  • English
  • Français

On a K-Dimensional System of Inductive Logic

Published online by Cambridge University Press:  28 February 2022

Ilkka Niiniluoto
Ilkka Niiniluoto*
Affiliation:
University of Helsinki
Get access Rights & Permissions [Opens in a new window]

Extract

Inductive logic studies the structural properties of epistemic probabilities. Its basic task is to determine how various factors may influence rational degrees of belief in the truth of hypotheses on the basis of some evidence. Its distinctive feature in comparison with other approaches to epistemic probabilities is the attention paid to the idea - not in vogue during the 1940's when Carnap started his program, but very influential in much of the contemporary work within the history and the philosophy of science - that our knowledge claims, or our rational beliefs about the reality, are significantly influenced or preconditioned. by language. While dependence on (formal) language is one of the “logical” aspects of inductive probabilities, the role of other relevant, possibly extra-logical, determinants of rational degrees of belief is expressed, within the systems of inductive logic, by means of at most a finite number of parameters.

Type
Part VIII. Systems of Inductive Logic Where Generalizations Can Receive Non-Zero Probabilities
Information
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association , Volume 1976 , Issue 2: Volume Two: Symposia and Invited Papers 1976 , 1976 , pp. 425 - 447
Copyright
Copyright © 1977 by 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. “Notes on Probability and Induction.” Synthese 25 (1973): 269–298. (Edited for publication by A. Benson.)10.1007/BF00499682CrossRefGoogle Scholar
[2] Carnap, R. and Jeffrey, R. (eds.). Studies in Inductive Logic and Probability, vol. 1. Berkeley: University of California Press, 1971.CrossRefGoogle Scholar
[3] Carnap, R. and Stegmüller, W. Induktive Logik und Wahrscheinlichkeit. Wien: Springer-Verlag, 1959.10.1007/978-3-7091-3142-8CrossRefGoogle Scholar
[4] Gaifman, H. “Applications of de Finetti's Theorem to Inductive Logic.” In [2], Pages 237-251.Google Scholar
[5] Hintikka, J. “Towards a Theory of Inductive Generalization.” In Proceedings of the 1964 International Congress for Logic, Methodology, and Philosophy of Science. Edited by Bar-Hillel, Y.. Amsterdam: North-Holland, 1965. Pages 274–288.Google Scholar
[6] Hintikka, J. “A Two-Dimensional Continuum of Inductive Methods.” In Aspects of Inductive Logic. Edited by Hintikka, J. and Suppes, P.. Amsterdam: North-Holland, 1965. Pages 113–132.Google Scholar
[7] Hintikka, J. “Unknown Probabilities, Bayesianism, and de Finetti's Representation Theorem.” In PSA 1970 (Boston Studies in the Philosophy of Science, Vol. 8). Edited by Buck, R. and Cohen, R.S.. Dordrecht: D. Reidel, 1971. Pages 325–341.CrossRefGoogle Scholar
[8] Hintikka, J. and Niiniluoto, I. “Axiomatic Foundation for the Theory of Inductive Generalization.” In Proceedings of the Conference of Formal Methods in the Methodology of the Empirical Sciences. Edited by Przelecki, M., Wojcicki, R., and Szaniawski, K.. Dordrecht: D. Reidel, 1976. Pages 57–81. (Also forthcoming in [11].)Google Scholar
[9] Humburg, J. “The Principle of Instantial Relevance.” In [2]. Pages 227-233.Google Scholar
[10] Jeffrey, R. “Carnap's Inductive Logic.” Synthese 25 (1973): 299–306.10.1007/BF00499683CrossRefGoogle Scholar
[11] Jeffrey, R. (ed.). Studies in Inductive Logic and Probability, vol. 2. Berkeley: University of California Press, in press.Google Scholar
[12] Kemeny, J. “Carnap's Theory of Probability and Induction.” In The Philosophy of Rudolf Carnap. Edited by Schilpp, P.A.. La Salle, Ill.: Open Court, 1963. Pages 711–738.Google Scholar
[13] Laudan, L. “Induction and Probability in the Nineteenth Century.” In Logic, Methodology, and Philosophy of Science IV. Edited by Suppes, P. et.al. Amsterdam: North-Holland, 1973. Pages 429–438.Google Scholar
[14] Milne-Thompson, L.M. The Calculus of Finite Differences. London: MacMillan, 1951.Google Scholar
[15] Niiniluoto, I. and Tuomela, R. Theoretical Concepts and Hypothetico-Inductive Inference. Dordrecht: D. Reidel, 1973.10.1007/978-94-010-2596-6CrossRefGoogle Scholar
[16] Stegmüller, W. “Carnap's Normative Theory of Inductive Probability.” In Logic, Methodology, and Philosophy of Science IV. Edited by Suppes, P. et al. Amsterdam: North-Holland, 1973. Pages 501–513.Google Scholar
[17] Stegmüller, W. Personelle und Statistische Wahrscheinlichkeit. Berlin: Springer, 1973.Google Scholar
[18] Suppes, P. “Some Open Problems in the Foundations of Subjective Probability.” In Information and Decision Processes. Edited by Machol, R. E.. New York: Wiley, 1960. Pages 162–169.Google Scholar
[19] Teller, Paul. “Comments on Niiniluoto and Uchii.” In PSA 1976, Volume Two. Edited by Suppe, F. and Asquith, P.D.. East Lansing: Philosophy of Science Association, 1977. Pages 495–504.Google Scholar