A Unified Epistemological Framework for Understanding Epistemicism

The Sorites Paradox is traditionally formulated as a semantic problem concerning vague predicates and tolerance. This paper agrees with Epistemicism that the paradox can be resolved epistemically but argues that Epistemicism fails because a sharp yet inaccessible boundary cannot count as knowledge. To explain this failure, the paper develops a formal algebraic functional-domain model, F(T) = Φt(T), where F is the comprehensive domain of constituted knowledge, T is a truth claim produced or retained through synthesis, and Φt is its historical field. Hegelian dialectical functions test determinate proposals against opposition and, where possible, produce synthesis. Vagueness v is the stable condition of inquiry: a term remains in v when its application has a quantifiable basis, several classifications remain possible, and no determinate criterion has been synthesized. Synthesis produces a determinate claim that enters F. The identity v = F means that F is vagueness formally constituted through synthesis while vagueness continues to generate inquiry within it. Plato’s Euthyphro illustrates the condition prior to synthesis, in which competing definitions of piety encounter opposition without synthesis. Without synthesis, a proposed boundary remains outside F; with synthesis, it becomes determinate and accessible. Williamson’s precise but unknowable boundary therefore cannot qualify as constituted knowledge and lacks independent justification as metaphysically real. Epistemicism consequently fails both as an epistemic resolution of the Sorites and as a justified metaphysical position.