Colloquium: “If 1 + 1 = 9, does 2 + 2 = 7?”

Marshall University Math Colloquium
April 24, 2013

Dr. Carl Mummert
Marshall University

Abstract
In mathematics, we often look at “if/then” relationships. It turns out there are several ways to interpret deceptively simple questions such as “If 1 + 1 = 9, does 2 + 2 = 7?”, which lead to surprising answers. I will explain how techniques of mathematical logic help us understand these questions and talk about recent undergraduate and graduate student research at Marshall in this area. This talk is aimed at undergraduates. Students who are taking algebra and calculus classes are particularly invited to attend.