FM_N_3 The Necessity of Binary Standing

This paper establishes that standing is necessarily binary: a representational move either preserves standing or it fails, with no admissible intermediate state. Attempts to introduce partial, probabilistic, or recoverable standing are shown to rely on illicit smoothing, deferred evaluation, or post-hoc repair that collapses once admissibility is enforced. The analysis demonstrates that graded notions of standing—such as confidence-weighted validity, provisional legitimacy, or asymptotic acceptance—implicitly assume that standing can be accumulated, repaired, or traded. When these assumptions are made explicit, they violate the non-transmissive and fail-closed nature of admissibility. The result fixes binary standing as a structural requirement for coherent reasoning and governance. Standing failure is terminal within the evaluated context, and preservation cannot be deferred or averaged. The paper introduces no metrics, recovery schemes, or evaluation procedures. It records a necessity result showing that standing admits only two states: preserved or destroyed.