Besieged by ongoing economic crises, global health emergencies, geopolitical instabilities, ecological devastation, and growing political resentments, the intractable nature of the problems that configure the present has never loomed larger or more darkly. But what, indeed, is a problem? Problematising the modern image that treats problems as obstacles to be overcome by the progress of technoscientific knowledge and policy, this introductory article lays the groundwork for a generative conceptualisation of problems. Reweaving intercontinental connections between traditions of French philosophy and American (...) pragmatism, it proffers a conception of the problematic as a mode of existence that is irreducible to the subjective, the methodological, or the epistemological. Problems go all the way down and up, requiring nothing less than an art of metamorphosis capable of engendering processes of creation, invention, and transformation in whose hold bodies and practices, knowledges and lives, thoughts and worlds, are done and undone, made and remade. (shrink)