 This hypostatization of the idea of the world, the fact that it is taken to be a mind-independent object, acts as the underlying assumption motivating both parties to the two mathematical antinomies. The first antinomy concerns the finitude or infinitude of the spatio-temporal world. The thesis argument seeks to show that the world in space and time is finite, i.e., has a beginning in time and a limit in space. The antithesis counters that it is infinite with regard to both space and time. The second antinomy concerns the ultimate constitution of objects in the world, with the thesis arguing for ultimately simple substances, whereas the antithesis argues that objects are infinitely divisible. In this, the thesis positions are each concerned to bring the explanatory effort to a close, by arguing for ultimate or, as Kant says, “intelligible beginnings” (cf. A466/B494). The claim that there is a “first beginning” or an ultimately simple substance is sustained only by abstracting from the spatio-temporal framework. The alleged proponent of the antithesis arguments, on the other hand, refuses any conclusion that goes beyond the sensible conditions of space and time. According to the antithesis arguments, the world is infinite in both space and time (these being infinite as well), and bodies are (in accordance with the infinite divisibility of space) also infinitely divisible.