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Vladimir_Nesov2 comments on No Safe Defense, Not Even Science - Less Wrong

14 Post author: Eliezer_Yudkowsky 18 May 2008 05:19AM

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Comment author: Vladimir_Nesov2 18 May 2008 08:13:28PM 0 points [-]

Roland,

Probabilities allow grades of beliefs, and just as Achilles's pursuit of tortoise can be considered as consisting of infinite number of steps, if you note that steps actually get infinitely short, you can sum them up to a finite quantity. Likewise, you can join infinitely many infinitely unlikely events into a compound event of finite probability. It is a way to avoid regress Caledonian was talking about. Evidence can shift probabilities on all metalevels, even if in some hapless formalism there are infinitely many of them, and still lead to reasonable finite conclusions (decisions).