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Hypotheses and Inductive Predictions

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Abstract

This paper studies the use of hypotheses schemes in generatinginductive predictions. After discussing Carnap–Hintikka inductive logic,hypotheses schemes are defined and illustrated with two partitions. Onepartition results in the Carnapian continuum of inductive methods, the otherresults in predictions typical for hasty generalization. Following theseexamples I argue that choosing a partition comes down to making inductiveassumptions on patterns in the data, and that by choosing appropriately anyinductive assumption can be made. Further considerations on partitions makeclear that they do not suggest any solution to the problem of induction.Hypotheses schemes provide the tools for making inductive assumptions, but theyalso reveal the need for such assumptions.

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REFERENCES

  • Bacchus, F., H. E. Kyburg Jr., and M. Thalos: 1990, 'Against Conditionalization', Synthese 85, 475–506.

    Google Scholar 

  • Billingsley, P.: 1995, Probability and Measure, John Wiley & Sons, New York.

    Google Scholar 

  • Bogdan, R.: 1976, Local Induction, D. Reidel, Dordrecht.

    Google Scholar 

  • Carnap, R.: 1950, The Logical Foundations of Probability, University of Chicago Press, Chicago.

    Google Scholar 

  • Carnap, R.: 1952, The Continuum of Inductive Methods, University of Chicago Press, Chicago.

    Google Scholar 

  • Carnap, R. and R. Jeffrey (eds.): 1971, Studies in Inductive Logic and Probability,Vol.1, University of California Press, Berkeley.

    Google Scholar 

  • Carnap, R. and W. Stegmüller: 1959, Inductive Logik und Wahrscheinlichkeit, Springer Ver l a g, Wi e n.

    Google Scholar 

  • Chihara, M.: 1987, 'Some Problems for Bayesian Confirmation Theory', British Journal for the Philosophy of Science 38, 551–560.

    Google Scholar 

  • Costantini, D.: 1979, 'The Relevance Quotient', Erkenntnis 14, 149–157.

    Google Scholar 

  • De Finetti, B.: 1964, 'Foresight: its Logical Laws, its Subjective Sources', in H. Kyburg and H. Smokler (eds.), Studies in Subjective Probability, John Wiley & Sons, New York, pp. 97–158.

    Google Scholar 

  • De Finetti, B.: 1972, Probability, Induction and Statistics, John Wiley & Sons, New York.

    Google Scholar 

  • Earman, J.: 1992, Bayes or Bust, MIT Press, Cambridge, MA.

    Google Scholar 

  • Festa, R.: 1993, Optimum Inductive Methods, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • Gaifman, H. and M. Snir: 1982, 'Probabilities over Rich Languages', Journal of Symbolic Logic 47, 495–548.

    Google Scholar 

  • Goodman, N.: 1955, Fact, Fiction, and Forecast, Harvard University Press, Cambridge, MA.

    Google Scholar 

  • Hintikka, J.: 1966, 'A Two-Dimensional Continuum of Inductive Methods', in J. Hintikka and P. Suppes (eds.), Aspects of Inductive Logic, North Holland Publishing Company, Amsterdam.

    Google Scholar 

  • Hintikka, J.: 1970, 'Unknown Probabilities, Bayesianism, and De Finetti's Representation Theorem', in R. C. Buck and R. S. Cohen (eds.), Boston Studies in the Philosophy of Science, Vol. VIII, D. Reidel, Dordrecht.

    Google Scholar 

  • Hintikka, J.: 1997, 'Comment on Theo Kuipers', in M. Sintonen (ed.), Knowledge and Inquiry, Rodopi, Amsterdam.

    Google Scholar 

  • Hintikka, J. and I. Niiniluoto: 1976, 'An Axiomatic Foundation of the Logic of Inductive Generalization', in M. Przelecki, K. Szaniawski, and R. Wójcicki (eds.), Formal Methods in the Methodology of the Empirical Sciences, Synthese Library 103, Dordrecht.

    Google Scholar 

  • Howson, C.: 1973, 'Must the Logical Probability of Laws be Zero?', British Journal of Philosophy Science 24, 153–182.

    Google Scholar 

  • Howson, C. and P. Urbach: 1989, Scientific Reasoning, The Bayesian Approach,Open Court Publishing Company, La Salle, IL.

    Google Scholar 

  • Howson, C.: 2000, Hume's Problem, Clarendon Press, Oxford.

    Google Scholar 

  • Jeffrey, R.: 1977, 'Mises Redux', in R. E. Butts and J. Hintikka (eds.), Problems in Methodology and Linguistics, Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • Jeffrey, R.: 1984, Probability and the Art of Judgement, Cambridge University Press, Cambridge.

    Google Scholar 

  • Jeffreys, H.: 1939, Scientific Inference, Cambridge University Press, Cambridge.

    Google Scholar 

  • Kelly, K.: 1997, 'Learning Theory and the Philosophy of Science', Philosophy of Science 64, 245–267.

    Google Scholar 

  • Kemeny, J.: 1963, 'Carnap's Theory of Probability and Induction', in P. A. Schilpp (ed.), The Philosophy of Rudolph Carnap, Open Court Publishers, La Salle, IL.

    Google Scholar 

  • Kuipers, T. A. F.: 1978, Studies in Inductive Probability and Rational Expectation,D. Reidel, Dordrecht.

    Google Scholar 

  • Kuipers, T. A. F.: 1984, 'Two Types of Inductive Analogy by Similarity', Erkenntnis 21, 63–87.

    Google Scholar 

  • Kuipers, T. A. F.: 1988, 'Inductive Analogy by Similarity and Proximity', in D. H. Helman (ed.), Analogical Reasoning, Kluwer Academic Publishers, Dordrecht, pp. 299–313,.

    Google Scholar 

  • Kuipers, T. A. F.: 1997, 'The Carnap-Hintikka Programme in Inductive Logic', in M. Sintonen (ed.), Knowledge and Inquiry, Rodopi, Amsterdam.

    Google Scholar 

  • Niiniluoto, I.: 1976, 'Inquiries, Problems, and Questions: Remarks on Local Induction', in R. Bogdan (ed.), Local Induction, D. Reidel, Dordrecht.

    Google Scholar 

  • Niiniluoto, I.: 1981, 'Analogy and Inductive Logic', Erkenntnis 16, 1–34.

    Google Scholar 

  • Norton, J. D.: 2003, 'A Material Theory of Induction', Philosophy of Science 70(October), 647–670.

    Google Scholar 

  • Peirce, C.: 1934, Collected Papers, Vol. 5, Harvard University Press, Cambridge, MA.

    Google Scholar 

  • Putnam, H.: 1963, 'Degree of Confirmation and Inductive Logic', in P. A. Schilpp (ed.) The Philosophy of Rudolf Carnap, Open Court Publishing Company, La Salle, IL, reprinted in H. Putnam: 1975, Mathematics, Matter and Method, Cambridge University Press, Cambridge, pp. 270–292.

    Google Scholar 

  • Putnam, H.: 1963, 'Probability and Confirmation', The Voice of America 10, reprinted in Mathematics, Matter and Method, 1975, Cambridge University Press, Cambridge, pp. 293–304.

    Google Scholar 

  • Skyrms, B.: 1991 'Carnapian Inductive Logic for Markov Chains', Erkenntnis 35, 439–460.

    Google Scholar 

  • Skyrms, B.: 1996, 'Bayesian Projectability', in D. Stalker (ed.), Grue!, Open Court Publishers, La Salle, IL.

    Google Scholar 

  • Stalker, D.: 1996, Grue!, Open Court Publishers, La Salle, IL.

    Google Scholar 

  • Stegmüller, W.: 1973, Carnap II: Normatieve Theorie des Inductiven Räsonierens,PartC, Volume IV, Springer Verlag, Berlin.

    Google Scholar 

  • Tuomela, R.: 1966, 'Induction in Ordered Universes', in J. Hintikka and P. Suppes (eds.), Aspects of Inductive Logic, North Holland Publishers, Amsterdam.

    Google Scholar 

  • Van Fraassen, B. C.: 1989, Laws and Symmetry, Clarendon Press, Oxford.

    Google Scholar 

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Romeyn, J.W. Hypotheses and Inductive Predictions. Synthese 141, 333–364 (2004). https://doi.org/10.1023/B:SYNT.0000044993.82886.9e

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