In his first soliloquy, Hamlet bemoans the fact that he cannot commit suicide. He wishes that his physical self might just cease to exist, "melt, / Thaw, and resolve itself into a dew." He complains that his religion prohibits suicide and claims that he would sooner die than continue watching his mother engage in her vile incest. These thoughts torment him, but he knows that he can't speak them aloud to anyone.
Horatio, Marcellus, and Barnardo enter, and Hamlet, unguarded with Horatio as with no one else, snidely jokes that King Claudius has sought to save money by using the funeral refreshments to feed his wedding guests. He tells Horatio that his father's memory haunts him. Horatio seizes the opportunity to tell Hamlet about his encounter with the Ghost of the old king. Hamlet agrees to watch that night in case the Ghost walks again.
