Title: The Asymptotisticians -- using approximate mathematical models to understand the world. Abstract: In the age of the microchip, we constantly rely on computer software to perform our calculations and help us understand practical problems. However, computer programs seldom help us "understand" the problems we are studying. One field of mathematics that is falling out of our curricula our "asymptotic methods". Asymptotic methods are calculation tricks that we can use to get approximate answers to hard questions where there is a variable that is very large or very small. While asymptotic methods are used everywhere in mathematics research, they are also hugely useful in dealing with every-day life as well. In this talk, I'll present some simple examples of asymptotic mathematics, and discuss how asymptotic ideas play a key role in science and human thought.