The Derivation of the Categories of Quantity

In this paper, I propose to resolve the controversy over the derivation of the categories of quantity by spelling out three claims: (1) the three quantitative functions/forms of judgment (universal-particular-singular), qua synthetic categories of quantity (unity-plurality-totality), lawfully direct the determination of sensible manifolds as singular totalities, which (2) brings to light a specifically categorial type of judgmental activity, distinguishable from but presupposed by empirical judgments. This calls for (3) pairing the category of totality with the singular judgment and the category of unity with the universal judgment (‘Order B’), rather than pairing the singular judgment with unity and the universal judgment with totality (‘Order A’). At stake in this controversy is our understanding of the categories’ normativity, their scope, and the division of labor between intuitions and categories in individuating objects.