Self-contradiction
Pronunciation : Self`-con`tra*dic"tion
Part of Speech : n.
Definition : Defn: The act of contradicting one's self or itself; repugnancy in conceptions or in terms; a proposition consisting of two members, one of which contradicts the other; as, to be and not to be at the same time is a self-contradiction.
Source : Webster's Unabridged Dictionary, 1913