Wolfgang Pauli is often credited with coining the phrase "not even wrong." However, the concept of nonsense obviously predates this. In debate, opponents may sometimes dismiss theories as being "not even wrong", to imply that the theory is not well-formed in some sense, and so cannot be debated (since it does not follow the rules of debate).
Taking our language of discourse to be first-order logic, it is relatively easy to check a "statement" for syntactical errors. Contradictions are actually hard to find. Is there another sense in which a statement can be "not even wrong"? Either way, how can we go about checking whether a statement is "not even wrong"?