The fundamental divide in scientific approaches laid bare. Physicists and engineers casually toss around π ≈ 3 and sin(x) ≈ x when the math gets unwieldy. Meanwhile, mathematicians sit there, physically pained by such blasphemy against numerical purity. The horror on their faces when we say "eh, close enough" is worth every decimal point we discard. Nothing triggers a mathematician faster than a good approximation. And yet, somehow our bridges still stand and our rockets still fly.