In analyzing Shakespeare's use of the dagger in Macbeth's soliloquy, the two correct interpretations are:
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Macbeth’s guilt for thinking about killing the king has triggered its appearance. - This interpretation highlights how the hallucination of the dagger symbolizes Macbeth's inner conflict and guilt over his ambition and the thought of committing regicide.
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Macbeth’s sight of the dagger, which is not actually there, indicates his insanity. - This interpretation speaks to Macbeth's deteriorating mental state, suggesting that the vision of the dagger illustrates his descent into madness and moral chaos as he grapples with his dark desires.
These interpretations emphasize the psychological turmoil that Macbeth experiences as he contemplates the murder of King Duncan, illustrating themes of guilt and madness in the play.