G. A. Cohen famously argued that fundamental normative principles (for example, concerning justice) are “fact-free” in such a way that their truth is independent of non-normative facts. For our purposes here, we take Cohen’s claim as given. Our focus is on what might be thought of as the “other side” of this issue — on whether the non-normative facts that determine what might be feasible for us to accomplish are value-independent. We argue that they are not, that people have reason to think that the normative properties of different possible options can and sometimes do have a crucial impact on their feasibility. In other words: facts about feasibility are partially dependent on Cohen’s “fact-free moral principles.”