///// Two decades ago we began the project of becoming Rootless Cosmopolitans, determined to sift the detritus of all tribes, cultures & civilizations (including our own) for viable fragments--& to synthesize from this mess of potsherds a living system of our own--lest (as Blake warned) we become slaves to someone else's. ///// If some Javanese sorcerer or Native American shaman possesses some precious fragment I need for my own "medicine pouch," should I sneer & quote Bakunin's line about stringing up priests with bankers' guts? or should I remember that anarchy knows no dogma, that Chaos cannot be mapped--& help myself to anything not nailed down?
In smooth space, the line is therefore a vector, a direction and not a dimension or metric determination. It is a space constructed by local operations involving changes in direction. These changes in direction may be due to the nature of the journey itself, as with the nomads of the archipelagoes (a case of "directed" smooth space); but it is more likely to be due to the variability of the goal or point to be attained, as with the nomads of the desert who head toward local, temporary vegetation (a "nondirected" smooth space). Directed or not, and especially in the latter case, smooth space is directional rather than dimensional or metric. Smooth space is filled by events or haeccities, far more than by formed and perceived things.