David uses color to highlight the emotion in this painting. The shades of red are more muted on the edges of the painting and become more vibrant in the center, culminating in the dark red robe of the man holding the cup of poison. The only two serene men, Socrates and Plato, are garbed in a contrasting bluish-white. The more muted color scheme of this painting may be a response to critics of David's Oath of the Horatii, who called his colors "garish".[3]
David signed this painting in two places; he put his full signature under Crito, the young man clutching Socrates's thigh, and his initials under Plato. David's signature placement often had symbolic meaning – for example, in his painting of Count Potocki, David signed in the collar of the dog that is barking at the sitter. In Death of Socrates, his signatures also have meaning. His initials under Plato are a reference to the fact that the story comes from Plato, a thanks for the inspiration. His fuller signature under Crito means that this is the character whom the artist identifies most with. This may be a reference for Crito’s position in the composition – clutching Socrates's thigh. In this way, David would be seen as a man who likewise clutches at the morals and values that Socrates represents.[2]