The axioms themselves never change
The axioms themselves never change is a philosophical statement that recurs throughout Richard Bachman's novel Rage, serving as both a classroom maxim and a dark interpretive lens for the entire narrative. First spoken by algebra teacher Jean Underwood during a lesson on variables, the phrase is later adopted by narrator Charlie Decker as a way to understand—and justify—the violent hostage crisis he initiates at Placerville High School. The assertion that fundamental principles remain constant regardless of how many variables are introduced becomes, in Decker's hands, a chillingly ambiguous axiom that blurs the line between sanity and madness, order and chaos.
Origin and First Appearance
The phrase first appears as the epigraph to the novel, attributed to Mrs. Jean Underwood: "So you understand that when we increase the number of variables, the axioms themselves never change" . It is then repeated in the classroom during the algebra lesson on the morning of the crisis, when Underwood writes "a = 16" on the board and leads the class through a discussion of what the equation means . The axiom is presented as a straightforward mathematical truth: no matter how many variables are added to an equation, the underlying rules remain fixed. This pedagogical context gives the phrase an air of objective certainty, which Decker later appropriates for his own purposes.
Charlie Decker's Reinterpretation
After shooting Mrs. Underwood and taking the class hostage, Decker returns to the axiom repeatedly as a way of making sense of his own actions and the events unfolding around him. In Chapter 10, he writes: "I've had a lot of time to think about that. And what I keep coming back to is Mrs. Underwood's dying declaration: So you understand that when we increase the number of variables, the axioms themselves never change. I really believe that" . For Decker, the axiom becomes a statement about the nature of reality itself: beneath the surface chaos of violence, madness, and random cruelty, there is an unchanging, almost mechanical logic at work. He applies this logic to his own psyche, describing the "private dinosaur" of his subconscious as a constant, mindless force that no tarpit can hold . The phrase thus functions as a bridge between the mathematical order of the classroom and the terrifying order of Decker's inner world.
The Axiom as a Lens for the Hostage Crisis
Decker's invocation of the axiom extends beyond his personal philosophy to encompass the behavior of his classmates during the hostage crisis. When the students begin to reveal their own secrets and turn on Ted Jones, Decker sees this as the axiom in action: the variables—individual personalities, hidden histories, social pressures—multiply, but the underlying principles of human nature remain unchanged. The phrase "the axioms themselves never change" becomes a way of asserting that the violence and cruelty that erupt in Room 16 are not aberrations but expressions of a permanent, unchanging human reality. This is most evident in the scene where Sandra Cross describes her sexual experiences, and Decker notes that the class listens with a "healthy sheen on every eye" . The axiom, in this context, suggests that the students' capacity for cruelty and revelation was always present, merely waiting for the right variables to bring it to the surface.
Thematic Significance and Ambiguity
The axiom's power lies in its ambiguity: it can be read as a statement of rational order or as a justification for fatalism and violence. Decker himself oscillates between these interpretations, at one point declaring "I really believe that" and at another using the phrase to mock the authorities who try to understand him. The novel's structure—a first-person narrative from a psychiatric hospital—further complicates the axiom's meaning, as Decker's reliability as a narrator is called into question. The phrase ultimately becomes a kind of philosophical trap: if the axioms never change, then change itself is impossible, and Decker's violent act is not a break from the norm but a revelation of what was always there. This aligns with the novel's broader themes of determinism, the failure of institutions, and the thin line between sanity and madness. The axiom, like the "terminator" that Decker describes between light and dark, marks a boundary that is both real and illusory, a constant in a world of variables.
