The resolution of Zeno's metrical paradox of extension for the mathematical continua of space and time

pp. 158-176

in: Adolf Grünbaum, Philosophical problems of space and time, Berlin, Springer, 1973

Abstract

It is a commonplace in the analytic geometry of physical space and time that an extended straight line segment, having positive length, is treated as "consisting of" unextended points, each of which has zero length. Analogously, time intervals of positive duration are resolved into instants, each of which has zero duration.