Ambiguity

Ambiguity (am-bih-gyoo-ih-tee) is indecisiveness, either in what you say or what you think. It is the lack of ability to say what you mean clearly or the inability to make a decision. 

When you ask to go to a friend's party and your parent says, "Oh, gee, I'm not sure if that's a good idea or not," that is ambiguity. Sometimes they are just busy and can't make a choice to let you go or not and sometimes they really don't know if it's a good idea.

When your parent asks you if you want to go visit your grandmother, and you say, "Oh, gee, I'm not sure if that's something I really want to do right now," that is also ambiguity. Perhaps you don't really want to go but don't want to hurt anyone's feelings, or maybe you really don't know whether or not you want to go because you're thinking about that person in your class who is really cute and said "hello" to you and the last thing on your mind is grandma. 

Either way, they are both examples of ambiguity and what happens is neither of you know what's really going on in the other's mind. What you are feeling is ambiguous.