Epistemologists (influenced by Chisholm) tend to split our doxastic attitudes into beliefs and withholdings. For any proposition p that I’ve considered, I either believe that p, withhold belief that p, or believe the denial of p.
I wonder if withholding belief that p can be reduced to having other beliefs about p. Here’s one shot at an equivalence:
1) S withholds belief that p iff S believes that there’s some likelihood that p and that there’s some likelihood that ~p, and it’s not the case that (either S believes that p or S believes that ~p)
In other words, to withhold belief in a proposition is really just to have two beliefs about its likelihood (and not believe it or its denial). Is this plausible? Suppose I withhold belief that it’s raining in Beijing right now. Is all this really saying is that I believe that there’s some likelihood that it is raining there, I believe that there’s some likelihood that it isn’t raining there, and I don’t believe either way? It seems plausible at least in this case.
Aren’t there cases where I withhold belief, but I don’t form those corresponding beliefs? I’m not sure.  Any help?