does Claudius think Hamlet is mad???

At this point, i don't think that Claudius thinks that Hamlet is mad. Now he is just threatened by him because he knows that Hamlet knows about the murder. Not to be caught guilty before it's too late, he decides to have him leave for the safety of himself and Gertrude. But really he is only trying to protect himself but uses Hamlets madness as the excuse. Earlier i think he did think it was madness...up until the play.

worldviews???

Hamlet is pushed to be an example; in a way of speaking. When he wanted to go to school, his parents wanted him to stay, and he obeyed them.