contradiction

noun

• The act of contradicting.

  "His contradiction of the proposal was very interesting."

• A statement that contradicts itself, i.e., a statement that makes a claim that the same thing is true and that it is false at the same time and in the same senses of the terms.

  "There is a contradiction in Clarence Page's statement that a woman should have the right to choose and decide for herself whether to have an abortion, and at the same time she should not have that right."

• A logical inconsistency among two or more elements or propositions.

  "Marx believed that the contradictions of capitalism would lead to socialism."

• A proposition that is false for all values of its variables.