It's not Bayesian -- he's implying more-than-one-dimensional stance to beliefs which says you get to decide when to adopt a belief as yours or not, rather than simply assigning numbers according to Bayesian statistics.
Honestly, I'm not sure if that's an improvement over "can't quite verbalize" but hopefully that starts to express what the problem was.
An interesting little Flash-like video on "openmindedness" by someone named QualiaSoup (hopefully ironically).
Does anyone know how much effort is required to produce this sort of video, perhaps from a script? We need at least another thousand of these.