Philosophy of history and history of philosophy of science make for an interesting case of “mutual containment”: the former is an object of inquiry for the latter, and the latter is subject to the demands of the former. This article discusses a seminal turn in past philosophy of history with an eye to the practice of historians of philosophy of science. The narrative turn by Danto and Mink represents both a liberation for historians and a new challenge to the objectivity of their findings. I will claim that good sense can be made of “working historical veins of possibility” (contrary to how the phrase was originally intended) and that already Danto and Mink provided materials (although they did not quite advertise them as such) to assuage fears of a constructivist free-for-all.