I was going to ask, does "understanding what the claim means" imply an 
agreement on the prior probabilities involved in the problem 
statement, or just an agreement on what the terms of the debate are?
(I thought, very simplistically I'm sure, that the essence of a 
Bayesian analysis was that you had these prior probabilities 
describing the likelihood of a particular outcome in some problem 
domain, *that everyone had to agree upon*, and THEN you try to come up 
with a new likelihood estimate, or decision between several options, 
given some additional evidence or arguments.)
BUT, after rereading your abstract, it seems that you're really 
describing how to measure the average bias *between* competing 
evidence or arguments, that is, quantifying the level of disagreement, 
rather than trying to establish the likelihood of either one of the 
individual arguments being correct, or of making a choice between the 
two arguments.
Again, this is all based just on your abstract and my VERY inadequate 
understanding of the subject, so thanks for your helpful response.
Mark Crosby