Department of Mathematics and Statistics
Washington State University
Title: On Numbers... A Brief Exploration of the Surreal Numbers
Abstract: In this talk we will
present a way to construct numbers using nothing but the empty set.
This construction, due to Conway in 1976, gives rise to the so-called
surreal numbers, which we will see is a totally ordered field
containing not only the real numbers, but also numbers infinitely large
and infinitesimally small!