 Pablo Cobreros (2011) has argued that subvaluationism provides a better treatment of higher order vagueness than supervaluationism. But for the most part, the subvaluationists (and their frenemies) have merely claimed subvaluationism to be at least as attractive as supervaluationism (Hyde and Colyvan 2008). This modest ambition seems prudent. After all, truth-value gaps have far more independent support from the history of philosophy (at least Western philosophy). Prior to the explosive growth of vagueness research after 1975, ordinary language philosophers amassed a panoramic battery of analyses suggesting that gaps are involved in presupposition, reference failure, fiction, future contingent propositions, performatives, and so on and so on. Supervaluationism rigorously consolidated these appeals to ordinary language.