ABSTRACT
Suppose you wish to turn this page. You will first of all need to half turn the page. And to do that, you will need to quarter turn the page. And so on. In fact, before you can turn the page you must make an infinite number of ever-decreasing fractional turns of the page. And you can’t even leave the room to get help turning it, because in order to leave the room you will need to get halfway to the door, and before you can do that, you will need to get halfway to halfway to the door, and so on. As Zeno pointed out all that time ago, you simply can’t go through an infinite series of stages in a sadly all too finite amount of time. You cannot count to infinity in a finite amount of time-no matter how fast you can count. It is, in fact, impossible to do anything-logically speaking.
