I still need to reread the paper in more detail, but an argument for common priors meaning identical or shared knowledge(both people have the same knowledge base not information transfer from one to the other). There was also a counter argument but it seem like a weak argument to me at my last reading.
This requires that, even in advance of seeing the evidence, you have beliefs about what the evidence means—how likely you are to see the evidence, if various hypotheses are true—and how likely those hypotheses were, in advance of seeing the evidence.
I do not see how you can share all of this and not be sharing a common knowledge base(or at least an isomorphic knowledge base). The specific example of different priors in the wiki also seems to fits this view.
They have common knowledge of their disagreement, not of the subject! They need not share “all pertinent knowledge”!
I still need to reread the paper in more detail, but an argument for common priors meaning identical or shared knowledge(both people have the same knowledge base not information transfer from one to the other). There was also a counter argument but it seem like a weak argument to me at my last reading.
From lesswrong wiki on priors:
I do not see how you can share all of this and not be sharing a common knowledge base(or at least an isomorphic knowledge base). The specific example of different priors in the wiki also seems to fits this view.