 There are four “antinomies” of pure reason, and Kant divides them into two classes. The first two antinomies are dubbed “mathematical” antinomies, presumably because in each case, we are concerned with the relation between what are alleged to be sensible objects (either the world itself, or objects in it) and space and time. An important and fundamental aspect of Kant’s rejection of each of these sets of arguments rests on his view that each of these conflicts is traceable back to a fundamental error, an error that can be discerned, according to Kant, in the following dialectical syllogism: