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Dan_Moore comments on A Proof of Occam's Razor - Less Wrong
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As the complexity of your hypotheses tends to infinity, their probability tends to zero. Still, that doesn't mean that each and every increase of complexity decreases the probability.
I upvoted the article, because I like this definition (i.e., it corresponds well to how I think of Occam's Razor), and I think you've proven it. However, I agree with Oscar Cunningham that the statement at the top of your article is different, and you didn't prove it. In particular, I don't like the phrase 'on average'.
I edited the article.