Suppose that if I am happy I am not obliged to know it, and if I am not happy I am not obliged to know it, then does that mean that I am not obliged to know if I am happy or not? It seems non obligatory, and I believe it is non-obligatory, but I am stuck feeling I should know if I'm happy or not even with those premises.
More generally, if I am not obliged to know p or not p, then does that mean that p is meaningless (for me)? This may seem a strong phrase, but I feel (again it's just a feeling) that if e.g. I am not permitted to know p or not p then p matters nothing, and if not obliged then it's not essential to any possible good.