In the play "Hamlet", by William Shakespeare, Hamlet is sane because he plans his actions very rationally, is well aware of his surroundings, and he admits to wanting others around him to think he is insane. .
Firstly, Hamlet is extremely logical, as he plans his actions and thinks before acting upon them, which justifies his sanity. After he is informed by his father's ghost that Claudius is responsible for his murder, Hamlet tests if Claudius is truly evil before seeking revenge. He does this by setting up a re-enactment of the murder that took place, according to the ghost's description. This verifies whether the information that the ghost gave him was valid or not. Only a rational person, whose mind is sane, will look for proof before killing a person out of vengeance.
Hamlet retains from killing Claudius and say's: "Up, sword, and know thou a more horrid hent.When he is drunk asleep, or in his rage,/Or in th' incestuous pleasure of his bed,At game a-swearing, or about some actThat has no relish of salvation in 't-/ Then trip him, that his heels may kick at heaven,/ And that his soul may be as damned and black/ As hell, whereto it goes"(III.I.89-96).
In this passage Hamlet realizes that if he kills him in prayer, Claudius will be forgiven for his sins and will escape hell. This demonstrates how clever Hamlet is as he does not kill Claudius despite of having the upper hand. He waits for the right moment, so Claudius faces the same fate as his father. Thus, Hamlet can arguably be proven sane as he thinks logically and reasonably before proceeding with his plan.
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Secondly, Hamlet is well aware of what is going on around him; something that an insane person would not be able to see. By understanding the motives of another's actions Hamlet's objective and reasons for his own become more clear. .
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