What is the dramatic importance of Act III, scene 1, with Rosencrantz and Guildenstern?
One interesting note that the previous and very thorough post did not go over is the rather incredible exchange between Hamlet and Ophelia. She has come to return to him "remembrances," signifying an end to their relationship and Hamlet is somewhat shocked, still not really aware of the fact that her father has decreed that they should no longer see each other.
He proceeds to take some of his anger out on her, but also in such a way that he urges her to protect herself in the future from men such as himself. For even though he is passing honest, he is quite the rogue, were he to admit all that has passed through his mind.
This scene is at the same time horribly painful and remarkably interesting, as Hamlet is still desperately trying to figure out what to do about his father's death, and also in this situation with Ophelia where he lacks enough information to make a really rational decision.
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