Symbols are objects, characters, figures, or colors used to represent abstract ideas or concepts.
Seeds represent for Willy the opportunity to prove the worth of his labor, both as a salesman and a father. His desperate, nocturnal attempt to grow vegetables signifies his shame about barely being able to put food on the table and having nothing to leave his children when he passes. Willy feels that he has worked hard but fears that he will not be able to help his offspring any more than his own abandoning father helped him. The seeds also symbolize Willy’s sense of failure with Biff. Despite the American Dream’s formula for success, which Willy considers infallible, Willy’s efforts to cultivate and nurture Biff went awry. Realizing that his all-American football star has turned into a lazy bum, Willy takes Biff’s failure and lack of ambition as a reflection of his abilities as a father.
To Willy, diamonds represent tangible wealth and, hence, both validation of one’s labor (and life) and the ability to pass material goods on to one’s offspring, two things that Willy desperately craves. Correlatively, diamonds, the discovery of which made Ben a fortune, symbolize Willy’s failure as a salesman. Despite Willy’s belief in the American Dream, a belief unwavering to the extent that he passed up the opportunity to go with Ben to Alaska, the Dream’s promise of financial security has eluded Willy. At the end of the play, Ben encourages Willy to enter the “jungle” finally and retrieve this elusive diamond—that is, to kill himself for insurance money in order to make his life meaningful.
Willy’s strange obsession with the condition of Linda’s stockings foreshadows his later flashback to Biff’s discovery of him and The Woman in their Boston hotel room. The teenage Biff accuses Willy of giving away Linda’s stockings to The Woman. Stockings assume a metaphorical weight as the symbol of betrayal and sexual infidelity. New stockings are important for both Willy’s pride in being financially successful and thus able to provide for his family and for Willy’s ability to ease his guilt about, and suppress the memory of, his betrayal of Linda and Biff.
The rubber hose is a stage prop that reminds the audience of Willy’s desperate attempts at suicide. He has apparently attempted to kill himself by inhaling gas, which is, ironically, the very substance essential to one of the most basic elements with which he must equip his home for his family’s health and comfort—heat. Literal death by inhaling gas parallels the metaphorical death that Willy feels in his struggle to afford such a basic necessity.