Synthese 141 (3):333 - 364 (2004)

Jan-Willem Romeijn
University of Groningen
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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The Problem of Induction.John Vickers - 2008 - Stanford Encyclopedia of Philosophy.
Solomonoff Prediction and Occam’s Razor.Tom F. Sterkenburg - 2016 - Philosophy of Science 83 (4):459-479.
Statistics Between Inductive Logic and Empirical Science.Jan Sprenger - 2009 - Journal of Applied Logic 7 (2):239--250.
Abducted by Bayesians?Jan-Willem Romeijn - 2013 - Journal of Applied Logic 11 (4):430-439.

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