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Entry 1 sense Webster, 1913

Self-contradiction

· Self·-con·tra·dic·tion · IPA
01 n. The act of contradicting one's self or itself; repugnancy in conceptions or in terms; a proposition consisting of two members, one of which…
  1. 1.
    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.