Proof Of The Jordan Curve Theorem

Mathematicians really took "draw a circle, now prove it's a circle" to a whole new level with this one. The Jordan Curve Theorem basically says if you draw a closed loop without crossing itself, you get an inside and an outside. Groundbreaking stuff, right?

The proof method here is absolutely chef's kiss: "proof by fucking obviousness." Like, humans have been building fences for thousands of years and somehow this needed a formal mathematical proof? The frustration is palpable—comparing it to proving 1+1=2 and calling it "not even worth to be a Lemma or Corollary" is just *brutal*.

Fun fact: The Jordan Curve Theorem seems ridiculously obvious, but it's actually notoriously difficult to prove rigorously! The original proof by Camille Jordan in 1887 had gaps, and it took mathematicians decades to nail down a completely rigorous proof. Sometimes the most "obvious" things in math are the hardest to prove formally, which makes this rant even funnier—because yeah, it SHOULD be obvious, but topology has other plans.