L1 Closure Taxonomy What Closure Is and Is Not

This paper provides a formal taxonomy of closure within a closed admissible framework. It precisely distinguishes closure by exhaustion from commonly conflated notions such as completeness, finality, total description, predictability, or empirical closure. The paper proves that many claims of closure fail by illicitly importing scope transport, deferred admissibility, or external authority, and therefore do not constitute admissible closure. The analysis is strictly classificatory and eliminative: it introduces no new primitives, specifies no procedures, and proposes no constructive framework. Its function is boundary-defining, fixing the meaning and limits of closure in a way that prevents misclassification, overreach, or reintroduction of non-admissible notions under the label of closure.