Godel's Incompleteness Theorem is like a trick. It says that in any system of math or logic (like a game with rules or instructions) there could be ideas that don't fit inside the system. It shows that no system can catch all the answers. It's kind of like if you're playing a game and one of the rules says you can't jump over something, but then you find a way to jump over it - that's something Godel's Incompleteness Theorem is talking about.