““finitely fine. Between a measurement of 2.3 inches and one of 2.4 inches there are intermediate, more precise, measurements of 2.31, 2.32, 2.33…, 2.39 inches; and these in turn can be subdivided ad infinitum. We can, therefore, in imagination, travel connectedly from any measuring number to any other, passing over the infinitude of other measuring numbers that lie between them, without ever finding ourselves without (so to speak) a number to stand on. This idea of connectedness—of traversing some space or some interval without ever having to leap over a void—lies behind the vitally important mathematical concepts of continuity and limit. In other words, it lies behind all of analysis.””
