## Mathematics Intrinsic Value, or Simply a Tool?

It is a sunny day; you want to take a walk. We here define walking as the taking of repeated steps in any given direction. Our walk will take us into the field of mathematics. An Unusual Walk Imagine a stretch of sidewalk that is precisely 6 feet long. An initial 3 foot step is taken. Every step after that must be 1/2 the distance of the previous step. So our second step is 1/2 the length of the first step. The third step is 1/2 the length of the second step, and so on. Questions: 1. Theoretically, how long would it take you to reach the end of the 6′stretch? 2. How far would you have traveled, after each step? Answers: 1. You would, again theoretically, never make it…