paradox
par·a·dox \ˈper-ə-ˌdäks, ˈpa-rə-\
                     noun
: something (such as a situation) that is made up of two
    opposite things and that seems impossible but is actually
    true or possible
: someone who does two things that seem to be opposite to
    each other or who has qualities that are opposite
: a statement that seems to say two opposite things but that
    may be true