No Crowning the Frontier: Why Finite Explanation Cannot Certify Its Own Ends

Any finite explanatory delivery necessarily stops somewhere. The Agrippan trilemma presents three apparent exits from explanatory pressure: infinite regress, circular support, and brute stopping. This paper argues that, at the level of successfully delivered finite explanation, neither infinite regress nor open circular support can be successfully handed over as complete; what finite delivery necessarily yields is a stopping structure—and even those stopping points cannot be internally crowned. No finite explanatory delivery can complete, from within its own resources, the certification that a current stopping point is the finally authorized terminus of inquiry. Three theorems establish this result. Theorem 1 shows that every successfully delivered finite explanation has a non-empty frontier. Theorem 2 shows that frontier status and completed internal certification are structurally incompatible: once certification is internally completed, the frontier moves. Theorem 3 extends the incompatibility to the operative inferential principles under which any certification procedure must proceed. Consequences follow for metaphysics, normative theory, and philosophical methodology.