This essay explores the possibility of a metaphysical concept of continuity, which seems to have an implicit though decisive presence in Deleuze’s thought. It exposes a peculiar continuity that animates the indiscernibility of borders without making its constitutive elements homogenous or convergent, a zone of indiscernibility, wherein the borders vanish between the virtual and actual, expressed and expression, incorporeals and corporeals, sense in the proposition and event in states of affairs. Continuity conditions a fundamental indiscernibility but a heterogeneous one, a (...) disjunctive synthesis that does not compromise or negotiate the heterogeneity of its terms. This divergent continuity is explored in Logic of Sense, through a dialogue with Leibniz’s syncategorematic account of calculus and Dedekind cut. (shrink)