Methodological inspiration from the discipline of archaeology can spur new developments of logic of inquiry in social research beyond contemporary debates among empiricist, rationalist, and pragmatist positions with their corresponding modes of inference: induction, deduction, and abduction. Archaeological methodology pursues comparison not in terms of similarities and differences among cases but through the juxtaposition of heterogeneous yet coexisting finds. On this basis, it pursues inferences by what I call ‘conduction’ about the relationship among finds, understood as their conditions of coexistence. Archaeological methodology will prove especially useful to studies that face uncertainty about the constituting relationships of a phenomenon, surprising coexistences, or a need to transgress established disciplinary or social demarcations. On this background, I particularly discuss the usefulness of archaeological methodology for the broad literature on problems, problematization, issues, and concerns building on the works of Dewey, Callon, and Foucault.