 Contextualists base their holism about vagueness on top-down psychology. Holism can also be logical. We encountered this in the supervaluationist’s rejection of truth-functionality. Instead of calculating the truth-values of all compound statements bottom-up from the truth-values of their component statements, Kit Fine (1975) assigned truth-values top-down by counting a statement as true if it comes out true under all admissible precisifications of the entire language.