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  1. The Continuum of Inductive Methods.Rudolf Carnap - 1953 - Philosophy 28 (106):272-273.
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  • Lewis on immodest inductive models.Stephen Spielman - 1972 - Philosophy of Science 39 (3):375-377.
    In a recent paper [2] David Lewis offered an extremely interesting and, if correct, important solution to the main unsolved problem of Carnap's program for inductive logic—the choice of an appropriate C-function. The gist of Lewis' solution is to first obtain a pilot sample from the target population and then select, on the basis of this sample, from among the immodestλ-methods. An immodest inductive method is one which estimates that the mean squared error of its estimates of population relative frequencies (...)
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  • Immodest inductive methods.David Lewis - 1971 - Philosophy of Science 38 (1):54-63.
    Inductive methods can be used to estimate the accuracies of inductive methods. Call a method immodest if it estimates that it is at least as accurate as any of its rivals. It would be unreasonable to adopt any but an immodest method. Under certain assumptions, exactly one of Carnap's lambda-methods is immodest. This may seem to solve the problem of choosing among the lambda-methods; but sometimes the immodest lambda-method is λ =0, which it would not be reasonable to adopt. We (...)
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