The conversation between human and AI assistant.
What is Godel's incompleteness theorem in simple terms?
Can you give me an example of a true statement that can't be proven within a formal system?
One example is the statement "This statement is unprovable". If we assume that this statement is false, then it must be provable, which contradicts its own claim. But if we assume that it is true, then it refers to itself, and so cannot be proven within the system.