 Of course, I am not as confident that Fillmore was the 13th president as I am in the truth of the tautology expressed in (3). Yet there does not seem to be anything wrong with saying that I fully believe each of (1), (2) and (3). However, if extremal probability is right, it is irrational to fully believe each of (1), (2) and (3) and not assign them all the same degree of belief.