Games Exist in Symbols and Syntax

Consider the game of Chess. Typically it's played with a collection of Chess pieces on a chessboard consisting of black and white squares. We can all agree, I think, that these are indeed real-world objects. Moreover, the game involves a set of rules specifying how the pieces can move, what constitutes a legal position on the board, how one piece captures another and so forth. This is the real-world version of the game of Chess. But there is another version, one existing purely in the world o...