 Even if there is nothing objectionable about an agent who validates Conditionalization, there is something very anti-inductivist about the thesis that all justified defeasible inferences on the basis of new evidence can be reconstructed as deductive inferences from prior conclusions plus the new evidence. Under Conditionalization, dispositions to form inductive generalizations must be “programmed in” with material conditionals at the outset of inquiry. (See Schurz (2011) for a similar critique, in a slightly different context.) Anyone sympathetic to this critique must reject either Or, Reflexivity, or Right Weakening. Finding such surprising consequences of seemingly unproblematic principles is one of the boons of studying non-monotonic logic.