4 ms·

How do you specify a value that is neither greater than nor less than in no more than 2 bits?

• recursive 12y ago
  It would be equal. (to what?)
  • drdeca 12y ago
    It could also be fuzzy! In combinatorial game theory, the star game is fuzzy with zero: not less or greater, but not equal either. The zero game is (iirc) the game where neither the left nor the right player have any moves, so whoever's turn it is loses. The star game (*) is iirc the game where both players have the move to move to the zero game, so whoever starts wins. But the star game is fuzzy with the zero game, less than the 1 game, and more than the -1 game. Iirc.
    • klodolph 12y ago
      Yes. To elaborate, this construction is called the "surreal numbers", and it is the largest ordered field. All ordered fields are isomorphic to subsets of the surreal numbers.