The bonus question @ sylloge.com is: “Does anyone know if there are an infinite number of chess games? If not, what the limit is?” The answers are “no” and “I couldn’t tell you off the top of my head, but I suspect it’s a great big number”. This is a topic tackled in Prisoner’s Dilemma by William Poundstone, an excellent treatise on game theory and the research of John Von Neumann.