Games and the Axiom of Determinacy

Logic, Games, and Graphs Seminar

Meeting Details

For more information about this meeting, contact Stephanie Geyer, Andrew Belmonte, Jan Reimann, Linda Westrick, Kristin Berrigan, Christopher Griffin.

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

Date: 10/09/2019

Time: 2:30pm - 3:30pm