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Jack comments on What is Bayesianism? - Less Wrong
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One definitely can. What else is one supposed to do when evidence is weak and circumstantial? Assign probabilities that sum to less than one?
If the evidence for a particular claim is weak and circumstantial one should assign that claim a low probability and other, competing, possibilities higher probabilities.
What if the evidence for those is also weak and circumstantial?
Or what if one had assigned that claim a very high prior probability?