It reminds me of Nietzsche's claim that "There is no truth."
Do you see the problem with that statement? Making a universal claim that there is no truth, is a universal claim of truth. The only difference is, his claim to truth is that it doesn't exist. However, it does exist in by saying it doesn't.
I am not saying I am a follower of Nietzsche, nor am I saying that I believe all things can be described by language, but I think our attempts at showing our limitations funny, even ironic.