This paper aims to reconstruct the overarching logical structure of Michael Williams's response to philosophical skepticism. One goal is to forestall overhasty dismissals of his position based on failures to understand the logical relations among his various anti‐skeptical claims and arguments. In many places, Williams suggests that the strategy he calls “theoretical diagnosis” is sufficient to defuse the skeptical challenge and that, accordingly, his anti‐skeptical strategy consists solely in developing theoretical diagnoses. According to the account developed here, this claim is (...) misleading—in need of significant qualification, if not outright false. Even so, the paper concludes that, in its essentials, Williams's response is structurally sound, given his understanding of the problem posed by skepticism. The paper ends with a brief assessment of the merits of that response. (shrink)