Bradbury named this section "The Hearth and the Salamander" because it foreshadows the conflicts which will occur later in the novel. A hearth, for example, is the name given to the floor of a fireplace and this alludes to Montag's domestic life, especially his marriage to Mildred. Similarly, the salamander, a lizard-like amphibian capable of withstanding fire, alludes to Montag's job as a fireman.
As the novel opens, Montag seems content and fulfilled with both his marriage and his career. But as the story progresses, the reader quickly realises that Montag is, in fact, deeply miserable in both of these areas. His marriage to Mildred, for instance, is loveless and empty. His commitment to being a fireman is also tested when he meets a woman who sacrifices her life by choosing to be burned with her books. By using this title, then, Bradbury alludes to Montag's unhappiness and paves the way for his rebellion.