 Many philosophers have devised paradoxes and even putative ‘antinomies’ that exploit the structural features of space and time in a way that essentially involves the infinite. Among the ancients, Zeno is renowned for his paradoxes of space, time and motion. They involve infinitely many spatial or temporal subdivisions or processes that are putatively impossible—see the entry on  Zeno’s paradoxes.    Among the moderns, Kant is particularly notable for his treatment of the extent of space and time in his ‘First Antinomy of Pure Reason’. We turn to it now.