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SarahC comments on A Proof of Occam's Razor - Less Wrong
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Gosh, now I don't know whether to feel bad or not for asking that question.
But I guess 'no, it's not just cardinality that matters but measure' is a good answer. Is there any quick easy explanation of measure and its use in probability?
(I have yet to learn anything from Wikipedia on advanced math topics. You don't hear bad things about Wikipedia's math topics, but as Bjarne said of C++, complaints mean there are users.)
Here's a non-wiki explanation of measure. http://www.ams.org/bookstore/pspdf/stml-48-prev.pdf It's a generalization of the concept of length.