 In the Transcendental Analytic, Kant deduces the table of twelve categories, or pure concepts of the understanding, the first six of which he describes as “mathematical” (as opposed to “dynamical”) categories because of their concern with objects of intuition (B110). The concept of number is treated as “belonging” to the category of “allness” or totality, which is itself thought to result from the combination of the concepts of unity and plurality (Parsons 1984; see 2.2 above for other topics related to Kant’s account of number). But, Kant claims further that difficulties that arise in the representation of infinities—in which one allegedly represents unity and plurality with no resulting representation of number—reveal that a concept of number must require the mediation of “a special act of the understanding” (B111). (This special act is presumably the synthesis that Kant describes as a function of both imagination and understanding, and which it is the business of the full theory of judgment—including the Transcendental Deduction and the Schematism—to explain (Carson 2017; Longuenesse 1998).) So, though he also claims that arithmetic “forms its concepts of numbers through successive addition of units in time” (4:283), it is misleading to infer that arithmetic is to time as geometry is to space, since a formal intuition of time is inadequate to explain the general and abstract science of  number.[5]  In fact, Kant declares mechanics to be the mathematical science that is to time what geometry is to space (Sutherland 2014).