Proponents of epistocracy claim that amplifying the political power of politically knowledgeable citizens can mitigate some of the harmful effects of widespread political ignorance, since being politically knowledgeable improves one’s ability to make sound political decisions. But many critics of epistocracy suggest that we have no reason to expect it to make better decisions than democracy, for those who are politically knowledgeable can also possess other attributes that compromise their ability to make sound political decisions. This is one version of the Demographic Objection to epistocracy, and in this paper I argue that the reasoning which underlies it generalizes in such a way that it applies not only to epistocracy but also to democracy. Thus, there are demographic objections to both epistocracy and democracy. I argue that such demographic objections to democracy have important and overlooked implications. Among other things, they imply that we should be skeptical about the arguments of epistemic democrats; they count against proposals to democratize extant epistocratic practices and institutions; and they even count against certain democratic reforms taking place within a wholly democratic framework.