The phrase "inherent contradiction" means that there is a conflict or inconsistency within a certain idea, belief, statement, or situation. Full definition
Actually, let me clarify that - there are less inherent contradictions in understanding reality than in trying to fit reality into a fantasy construct. (religion.blogs.cnn.com)
There are inherent contradictions with progressive austerity, and the governor may merely have delayed the moment when one interest group's happiness means another's misery. (nymag.com)
Cities, especially larger metropolitan areas, are thus locales of inherent contradiction across / between the nature of liberal citizenship. (blog.politics.ox.ac.uk)