Robert’s “proof” turns out to be evidence that he has slipped back into a state of mental delusion. Curiously, in his writing, he makes a series of incoherent connections. During this state of mental instability, Robert perceives patterns and meanings that others cannot see, just like during his periods of genius. At the same time, Robert’s gibberish “proof” suggests that he wasn’t the one who wrote the proof Catherine claimed to have written. Given that Robert wasn’t mentally sound enough to have written the proof, Catherine’s claim seems a lot more believable. Catherine also demonstrates her selflessness and dedication when he begs her not to leave him. Having already cared for him for years, Catherine knows that taking care of Robert will mean giving up her social and academic life. Yet knowing that he wants her to care for him at home, she respects his wishes.