The No Free Lunch Theorem: Bad News for (white's Account of) the Problem of Induction

Episteme 18 (1):31-45 (2021)
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Abstract

White (2015) proposes an a priori justification of the reliability of inductive prediction methods based on his thesis of induction-friendliness. It asserts that there are by far more induction-friendly event sequences than induction-unfriendly event sequences. In this paper I contrast White's thesis with the famous no free lunch (NFL) theorem. I explain two versions of this theorem, the strong NFL theorem applying to binary and the weak NFL theorem applying to real-valued predictions. I show that both versions refute the thesis of induction-friendliness. In the conclusion I argue that an a priori justification of the reliability of induction based on a uniform probability distribution over possible event sequences is impossible. In the outlook I consider two alternative approaches: (i) justification externalism and (ii) optimality justifications.

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Gerhard Schurz
Heinrich Heine University Düsseldorf

References found in this work

The Logic of Reliable Inquiry.Kevin Kelly - 1998 - British Journal for the Philosophy of Science 49 (2):351-354.
Reliability, Justification, and the Problem of Induction.James van Cleve - 1984 - Midwest Studies in Philosophy 9 (1):555-567.

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