Explorations

Future Paths of Phenomenology

1st OPHEN Summer Meeting

Repository | Series | Book | Chapter

212239

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

Adolf Grünbaum

pp. 158-176

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.

Publication details

Published in:

Grünbaum Adolf (1973) Philosophical problems of space and time. Dordrecht, Springer.

Pages: 158-176

DOI: 10.1007/978-94-010-2622-2_6

Full citation:

Grünbaum Adolf (1973) The resolution of Zeno's metrical paradox of extension for the mathematical continua of space and time, In: Philosophical problems of space and time, Dordrecht, Springer, 158–176.