Contradiction

A Contradiction is a statement that cannot be a true statement.

• • …
• Example(s):
  • a Contradictory Proposition.
  • a Contradictory Natural Language Statement.
  • …
• Counter-Example(s):
  • a True Statement.
• See: Law of Noncontradiction, Classical Logic, Proposition, Logical Consequence.

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References

2015

• (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/contradiction Retrieved:2015-5-8.
  • … By extension, outside of classical logic, one can speak of contradictions between actions when one presumes that their motives contradict each other.

• http://en.wiktionary.org/wiki/contradiction#Noun
  • (uncountable) The act of contradicting.
    • His contradiction of the proposal was very interesting.
  • (countable) 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.
    • There is a contradiction in what you say - she can't be both married and single.
  • (countable) a logical incompatibility among two or more elements or propositions
    • Marx believed that the contradictions of capitalism would lead to socialism.
  • (logic, countable) A proposition that is false for all values of its variables.

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