lineal waiting had done centuries earlier. A main fact about numbers has now been reached, with the link between the medieval positional zero and the Renaissance vanishing point. That both vanishing point and infinity were unknown in the Greek and Roman cultures can be explained as byproducts of literacy. It was not until printing extended the visual faculty into very high precision, uniformity, and intensity of special order that the other senses could be restrained or depressed sufficiently to create the new awareness of infinity. As one aspect of perspective and printing, mathematical or numerical infinity serves as an instance of how our various physical extensions or media act upon one another through the agency of our own senses. It is in this mode that man appears as the reproductive organ of the technological world, a fact that Samuel Butler bizarrely