Infinitesimal chances and the laws of nature

Australasian Journal of Philosophy 82 (1):67 – 76 (2004)
Abstract
The 'best-system' analysis of lawhood [Lewis 1994] faces the 'zero-fit problem': that many systems of laws say that the chance of history going actually as it goes--the degree to which the theory 'fits' the actual course of history--is zero. Neither an appeal to infinitesimal probabilities nor a patch using standard measure theory avoids the difficulty. But there is a way to avoid it: replace the notion of 'fit' with the notion of a world being typical with respect to a theory.
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DOI 10.1080/713659804
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Two Accounts of Laws and Time.Barry Loewer - 2012 - Philosophical Studies 160 (1):115-137.
Probability in GRW Theory.Roman Frigg & Carl Hoefer - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):371-389.
Fair Infinite Lotteries.Sylvia Wenmackers & Leon Horsten - 2013 - Synthese 190 (1):37-61.

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