What does Hamlet think a play/art is for?

Hamlet thinks a play is for portraying the truth in humanity very exact. This is evidenced in lines 1-35 in Act 3 scene 2 when he is telling the first player how to be exact in expression and emotions and in the execution of lines in a play. Hamlet is using this particular play for alterior motives, but still keeping the idea of what plays are for. He is using the play to show the truth of his father's death, to possibly show Claudius how messed up he is. He is using this play to try and get a hint at the truth from Claudius himself, by examining him during the play to see if there is any questionable emotion in his face that would suggest his being guilty. I also believe that Hamlet thinks all art is for portraying things of the real world in such a way so that people can easily examine these things and better themselves. This is because of when Hamlet is questioning the ghost and the mystery after death in Act 2 scene 2, he quotes a line from literature, which he is using in his contemplation. It is line 57 which reads, "To be, or not to be, that is the question". This famous quote is a quote of contemplation of life itself, which is exactly what Hamlet is doing in this time of weakness and doubt. So, to Hamlet, the purpose of plays, and art in general, is to portray the truth of the real world as concise as possible.