Efficient convergence implies ockham's razor

Proceedings of the 2002 International Workshop on Computational Models of Scientific Reasoning and Applications (2002)
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Abstract

A finite data set is consistent with infinitely many alternative theories. Scientific realists recommend that we prefer the simplest one. Anti-realists ask how a fixed simplicity bias could track the truth when the truth might be complex. It is no solution to impose a prior probability distribution biased toward simplicity, for such a distribution merely embodies the bias at issue without explaining its efficacy. In this note, I argue, on the basis of computational learning theory, that a fixed simplicity bias is necessary if inquiry is to converge to the right answer efficiently, whatever the right answer might be. Efficiency is understood in the sense of minimizing the least fixed bound on retractions or errors prior to convergence.

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Kevin Kelly
Carnegie Mellon University

Citations of this work

A new solution to the puzzle of simplicity.Kevin T. Kelly - 2007 - Philosophy of Science 74 (5):561-573.

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References found in this work

The Logic of Reliable Inquiry.Kevin Kelly - 1998 - British Journal for the Philosophy of Science 49 (2):351-354.
Means-ends epistemology.O. Schulte - 1999 - British Journal for the Philosophy of Science 50 (1):1-31.
The logic of reliable and efficient inquiry.Oliver Schulte - 1999 - Journal of Philosophical Logic 28 (4):399-438.

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