Re: [math-fun] Double moves

Cris Moore writes: Right. Both 0 and 1 are losses for the first player. But clearly these

are not equivalent, since 0+1 is a loss for the first player, while 1+1 is a win.

Clearly we need distinguish running out of moves on your first turn (like 0) from running out of moves on your second turn (like 1). These are two distinct ways to lose, which should be regarded as different values.

I like this suggestion. Does X+1+1+1+1 always have the same outcome as X (in Cris' sense) for every Nim position X? Jim