This article examines “the accidental procreation argument,” an argument against same-sex marriage that still has some traction in United States appellate courts. The accidental procreation argument is meant to take the place of one of the central arguments made by states — and almost universally accepted by courts — in the first batch of cases in the United States about same-sex marriage. That original procreation-based argument — now widely acknowledged to be inadequate — posited that marriage is crucially related to procreation; therefore, since same-sex couples cannot procreate, same-sex couples should not be allowed to marry. The accidental procreation argument uses procreation in a different way, by focusing on a specific difference b...