Tim_Tyler comments on Probability is Subjectively Objective - Less Wrong
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Re: seemingly unproblematic statements can indeed be made of the sort that I described.
The example appears to be that of the accursèd frequentists - the view that Jaynes spent much of his academic life crusading against.
If such ideas seem unproblematic to you, that's fine - but be aware that others find the notion of real word probabilities to be unsupported by evidence, and contrary to Occam's razor.