The problem of induction, also known as “Hume’s Problem of Induction”, is a demonstration that there can be no justification for any rule of inductive inference. This topic will set up two sections of the traditional problem for a formal theory and so how the corresponding set up fails for a material theory of induction. It will then review attempts to resurrect the problem of induction for material theories. These attempts will be sharpened into two objections. First, a historical-anthropological objection plays out in our real history, its fails because it relies on highly speculative historical fables, an empirical objection plays out in the logical space of justification. It fails because it depends on the dubious presumption that experience can be captured propositionally in a way that does not already require inductive knowledge, and because it relies on a narrowly hierarchical version of empiricism, incompatible with modern inductive practice.