proof-3
Explanation
This single-panel comic shows a teacher at a chalkboard where "1 + 1 = 2" is written. Rather than proving this arithmetically or axiomatically, the teacher has drawn two squares of equal area on the chalkboard and explains that this was "proven empirically by drawing squares of equal area, sampling them via throwing n darts, and determining that as n grows large, the ratio of darts in each square approaches 1."
The caption reads: "You could always tell the future statisticians."
The joke is that the teacher is using a Monte Carlo simulation -- a statistical sampling method -- to "prove" something that requires no statistical proof whatsoever. The fact that 1 + 1 = 2 is a basic arithmetic truth that can be proven from the Peano axioms (as Whitehead and Russell famously did over hundreds of pages in Principia Mathematica). Using random dart-throwing to empirically verify it is absurdly over-engineered and fundamentally misses the point of mathematical proof.
The humor targets the stereotypical mindset of statisticians, who approach everything through the lens of empirical sampling and probability rather than deductive logic. The caption suggests this person was destined to become a statistician because even as a student, they insisted on treating a deterministic mathematical fact as something that needed to be verified through random sampling. It is an affectionate jab at the disciplinary divide between pure mathematicians (who prove things deductively) and statisticians (who estimate things empirically), suggesting that statisticians are constitutionally incapable of accepting a clean proof when a messy empirical approximation is available.