Clarke believed that space is necessarily infinite because “to set bounds to space, is to suppose it bounded by something which itself takes up space” or else that “it is bounded by nothing, and then the idea of that nothing will still be space,” and both suppositions are contradictory (D 115, W 2.753). Clarke apparently thought that what has a boundary must be bounded by something else. If so, the argument was not well taken because a sphere, for example, has a boundary which stems from its own