In the critical part of his work, Stumpf raises the problem of the origins of the laws and principles of logic and mathematics as follows: if these principles are inductive in nature, as Mill believes them to be, then they do not constitute necessary truths; if, on the contrary, they are necessary truths, then the question arises as to whether they are synthetic a priori judgments as Kant claims or analytic a priori propositions as Stumpf claims. Against Mill, Stumpf argues that the axioms are n