Abstract

I BEGIN WITH A PUZZLE of sorts. Time is one; space is two—at least two. Time comes always already unified, one time. Thus we say “What time is it now?” and not “Which time is it now?” We do not ask, “What space is it?” Yet we might ask: “Which space are we in?”. Any supposed symmetry of time and space is skewed from the start. If time is self-consolidating—constantly gathering itself together in coherent units such as years or hours or semesters or seasons— space is self-proliferating. Take, for example, the dimensionality of space. One dimension in space is represented by a point or a line, whose radically reduced format mocks the extensiveness of cosmic space. Two dimensions, as in a plane figure, also falls far short of our sense that space spreads out indefinitely far beyond the perceiving subject. Only with three dimensions do we begin to approach an adequation between the structure and the sense of space. For then the subject is surrounded by something sufficiently roomy in which to live and move. Indeed, as Aristotle, Kant, and Merleau-Ponty all remark, the three-dimensionality of space directly reflects our bodily state, that is, the fact that as upright beings three perpendicular planes implicitly meet and intersect in us. Even here, proliferation abounds: our bilateral symmetry means that each dimension is doubled: one vertical plane bifurcates into “up” and “down,” the other vertical plane into “front” and “back,” and the horizontal plane into “right” and “left.” Thus subject-centered space is triple, only to be redoubled. Further, if we think of spatiality not as body-based but as locatory—as determined by landmarks and other locales in the environment—the proliferation is more striking still. There are the four cardinal directions, which themselves split easily into the thirty two points of a compass. Nor need we be so arithmetically well-rounded. Even apart from fancy mathematical models of n –dimensional space, and recent technological instantiations of virtual space, there is no end to the number or ways in which we can be oriented in space—in accordance with what Deleuze and Guattari call “the variability, the polyvocity of directions” by which we can move in any given spatial scene. Beyond direction, however, is place. Heidegger remarks that “space has been split up into places.” The fact is that we continually find ourselves immersed in a multiplex spatial network whose nodal points are supplied by particular places. If space is infinitely large, place is indefinitely many.