# surreal numbers

each number is {L|R} where every element of L is less than every element of R

each number is a game, L is the set of moves for the left player and vice-versa. A player who has no move loses.

a number may have many representations

{|} = 0 {0|} = 1 {1|} = 2 …

{|0} = -1 …

{0|1} = 1/2 …

{0,1,2,…|} = w {0|1,1/2,1/4..} = e