Continuous Debt

Panel 1: The mathematician: Define a function F: ℕ→ℝ such tha F(x) is the amount of debt owed by the MIT student with the x-th most debt. Man: I'm assuming this function is undefined for x larger than the total number of MIT students. Panel 2: The mathematician: Exercise: Prove that this function has at most one fixed point. Panel 3: Man: I'm pretty sure it doesn't have any fixed point because even one semester's tuition is more dollars than the number of students. Panel 4: The mathematician: Well, if students and debt were both continuous then we'd see a fixed point. Man: Somehow, the idea of “continuous debt” doesn't excite me.

But what about continuous students?

Continuous Debt

6 July 2007