 (UTC)  Any line segment can be divided continuously ad infinitum. At all times, with each division, the length of each part shortens by a half, while at the same time, the number of parts multiplies by two. So, how can an infinite number of parts make up a finite whole? Because for every division, the lengths of the parts are reducing as fast as the number of parts are increasing.     :There is not enough in sources for Zeno's writings to fully justify saying that Zeno ever actually claimed that the sum of an infinite number of numbers is infinite - though he has been interpreted that way by some. What is clear is that he thinks a task with an infinite number of steps cannot be completed.   01:03, 10 August 2012