2/3     I understand reflexive, transitive, and symmetric relationships.
        But what is anitsymmetry?
        \_ So symmetry is where aRb implies bRa (where a and b are in
           some set, and R is a relation). Then antisymmetry is just that
           if aRb then it is NOT the case that bRa... in other words,
           aRb and bRa impies a=b. Check Mathworld.             - rory
             http://mathworld.wolfram.com/PartialOrder.html
           \_ So does that mean antisymmetry implies reflexivity?
              \_ No.
                 \_ For example, < is anti-symmetric but not reflexive.
           \_ I always thought antisymmetry means not symmetry!!!
              \_ Think about the difference between apathy and antipathy.
        \_ a high school way to think about it is sin[x] in [x, -Pi, Pi]
           is anti-symmetric, and cos[x] in [x, -Pi, Pi] is symmetric.
           \_ An alternative is to think about it the right way.
        \_ antisymmetry is when you buy a house, ring, etc etc and then
           you get a divorce, pay alimony, lose a house, so on and so
           forth.                       -bmg