Gödel's Incompleteness Theorem

Now what's all this shit about?
In plain, laymen english please!
(Calculus is the fartherst I'll ever bother with math)

I'm fascinated with everything it (seems) to imply but I'm not sure i quite get it.

It is a shame that Gödel's Incompleteness Theorem is so complex it’s not more widely understood. Its implications are fundamental and far reaching - like machines can never be as “intelligent” as humans

The main result in layman’s terms – “Given a consistent set of axioms there may exists theorems that can neither shown to be true or false.”