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  2. Contradiction - Wikipedia

    en.wikipedia.org/wiki/Contradiction

    According to Marxist theory, such a contradiction can be found, for example, in the fact that: (a) enormous wealth and productive powers coexist alongside: (b) extreme poverty and misery; (c) the existence of (a) being contrary to the existence of (b).

  3. Square of opposition - Wikipedia

    en.wikipedia.org/wiki/Square_of_opposition

    In these relations, the particular is the subaltern of the universal, which is the particular's superaltern. For example, if 'every man is white' is true, its contrary 'no man is white' is false. Therefore, the contradictory 'some man is white' is true. Similarly the universal 'no man is white' implies the particular 'not every man is white ...

  4. Cognitive dissonance - Wikipedia

    en.wikipedia.org/wiki/Cognitive_dissonance

    The contradiction of a belief, ideal, or system of values causes cognitive dissonance that can be resolved by changing the challenged belief, yet, instead of effecting change, the resultant mental stress restores psychological consonance to the person by misperception, rejection, or refutation of the contradiction, seeking moral support from ...

  5. Proof by contradiction - Wikipedia

    en.wikipedia.org/wiki/Proof_by_contradiction

    In logic, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition by showing that assuming the proposition to be false leads to a contradiction. Although it is quite freely used in mathematical proofs, not every school of mathematical thought accepts this kind of nonconstructive proof as universally ...

  6. Reductio ad absurdum - Wikipedia

    en.wikipedia.org/wiki/Reductio_ad_absurdum

    Reductio ad absurdum, painting by John Pettie exhibited at the Royal Academy in 1884. In logic, reductio ad absurdum (Latin for "reduction to absurdity"), also known as argumentum ad absurdum (Latin for "argument to absurdity") or apagogical arguments, is the form of argument that attempts to establish a claim by showing that the opposite scenario would lead to absurdity or contradiction.

  7. Law of noncontradiction - Wikipedia

    en.wikipedia.org/wiki/Law_of_noncontradiction

    In logic, the law of non-contradiction (LNC) (also known as the law of contradiction, principle of non-contradiction (PNC), or the principle of contradiction) states that contradictory propositions cannot both be true in the same sense at the same time, e. g. the two propositions "the house is white" and "the house is not white" are mutually exclusive.

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  9. Paradox - Wikipedia

    en.wikipedia.org/wiki/Paradox

    A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. [1] [2] It is a statement that, despite apparently valid reasoning from true or apparently true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion.