What different types of "madness" do we see in Hamlet during act 2?

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Polonius believes that Hamlet is lovesick. In act 2 scene one, Ophelia complains that Hamlet, "“his doublet all unbraced, / No hat upon his head, his stockings fouled, / Ungartered, and down-gyved to his ankle” (lines 78-80). She goes on to describe how he held her hand and sighed. Polonius thinks that Hamlet is lovesick over Ophelia. In act 2 scene 2 Polonius goes to Cladius and Gertrude to tell them of Hamlet;s lovesick. Hamlet, however confides in Rosencrantz and Guildenstern that despite what his mother and Claudius believe, “I am but mad north-northwest: when the wind is southerly I know a hawk from a handsaw” (lines 381-382).Basically, that he is pretending that he is mad.

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