YESHIVA MATH/PHIL CLUB

**The theory of infinite games, with examples, including infinite chess**

Joel David Hamkins (CUNY)

Tuesday, April 30, 2013 5:45 pm

Furst Hall, Amsterdam Ave. & 185th Street, Yeshiva University

*Abstract*. I will give a general introduction to the theory of infinite games, suitable for mathematicians and philosophers. What does it mean to play an infinitely long game? What does it mean to have a winning strategy for such a game? Is there any reason to think that every game should have a winning strategy for one player or another? Could there be a game, such that neither player has a way to force a win? Must every computable game have a computable winning strategy? I will present several game paradoxes and example infinitary games, including an infinitary version of the game of Nim, and several examples from infinite chess.