Games and the Axiom of Determinacy
Speaker: Linda Westrick, Penn State University
Abstract: Despite the strangeness of the Well Ordering Principle, the equivalent Axiom of Choice (AC) is well-established as a standard axiom of mathematics. However, Choice is not the only option. Inconsistent with the AC, we have the Axiom of Determinacy (AD), which states that in every two-player game of a certain type, one of the players has a winning strategy. An unusual mathematical world emerges. For example, under AD, every subset of R is Lebesgue measurable and has the property of Baire. In this expository talk, I will introduce AD and present some of its consequences for a general mathematical audience.
Room Reservation Information
Room Number: 114 McAllister
Time: 2:30pm - 3:30pm