The Duality of Time Theory

The Dichotomy paradox concludes that motion could never start because the object must arrive at the middle of its course before arriving at the end. To do this, it must reach the one-fourth point; and to do this, it must reach the one-eighth point, and so on ad infinitum. Hence motion can never begin. In addition to that: the sumequals one only after infinite number of additions, and therefore it actually approaches one but never reaches it! This gives the same conclusion as the previous paradox, that space can not be infinitely divisible, so we shall not need to discuss it further.