This chapter critically examines the dominance of aprioristic methodologies in the philosophy of arithmetic, particularly in debates concerning the existence of numbers. It challenges the assumption that purely a priori methods–such as conceptual analysis, appeal to theoretical virtues, or reliance on logical and semantic principles, can yield conclusive answers about the ontological status of mathematical entities. Instead, it argues that such methods, while useful for hypothesis formation, lack the epistemic resources to confirm or refute ontological claims. The chapter defends the position that the existence of numbers is a worldly matter that cannot be settled by aprioristic reflection alone.