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ChristianKl comments on Open Thread April 8 - April 14 2014 - Less Wrong Discussion
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If you look at the wikipedia page that describes fallibilism, the word probability doesn't directly appear. In the main body of the article.
People like Pyrrho were practicing fallibilism long before the kind of math that you need to think about probabilities that you can multiple with each other got invented.
So the underlying philosophies are extremely similar if not the same even though the methods, largely due to practical problems (lack or presence of mathematical tools)?
The math is at the core of Bayesianism. It's part of the underlying philosophy.