In the School of Coquettes Madam Rose is a scholar,-O, they fish with all nets In the School of Coquettes! When her brooch she forgets 'Tis to show her new collar; In the School of Coquettes Madam Rose is a scholar!
There is an old maxim that says that two empires that are too large will collapse. The analog in set theory is that two different theories that are too powerful must necessarily contradict each other.