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  2. Paradox - Wikipedia

    en.wikipedia.org/wiki/Paradox

    Although statements can be self referential without being paradoxical ("This statement is written in English" is a true and non-paradoxical self-referential statement), self-reference is a common element of paradoxes. One example occurs in the liar paradox, which is commonly formulated as the self-referential statement "This statement is false ...

  3. Proof by contradiction - Wikipedia

    en.wikipedia.org/wiki/Proof_by_contradiction

    Formally the law of non-contradiction is written as ¬(P ∧ ¬P) and read as "it is not the case that a proposition is both true and false". The law of non-contradiction neither follows nor is implied by the principle of Proof by contradiction. The laws of excluded middle and non-contradiction together mean that exactly one of P and ¬P is true.

  4. Paradox (literature) - Wikipedia

    en.wikipedia.org/wiki/Paradox_(literature)

    In literature, the paradox is an anomalous juxtaposition of incongruous ideas for the sake of striking exposition or unexpected insight. It functions as a method of literary composition and analysis that involves examining apparently contradictory statements and drawing conclusions either to reconcile them or to explain their presence.

  5. List of paradoxes - Wikipedia

    en.wikipedia.org/wiki/List_of_paradoxes

    Therefore, it is not opposite day, but if you say it is a normal day it would be considered a normal day, which contradicts the fact that it has previously been stated that it is an opposite day. Richard's paradox: We appear to be able to use simple English to define a decimal expansion in a way that is self-contradictory.

  6. Oxymoron - Wikipedia

    en.wikipedia.org/wiki/Oxymoron

    An oxymoron (plurals: oxymorons and oxymora) is a figure of speech that juxtaposes concepts with opposite meanings within a word or in a phrase that is a self-contradiction. As a rhetorical device , an oxymoron illustrates a point to communicate and reveal a paradox .

  7. 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 argument, is the form of argument that attempts to establish a claim by showing that the opposite scenario would lead to absurdity or contradiction.

  8. Square of opposition - Wikipedia

    en.wikipedia.org/wiki/Square_of_opposition

    Since every statement has the contradictory opposite (its negation), and since a contradicting statement is true when its opposite is false, it follows that the opposites of contraries (which the medievals called subcontraries, subcontrariae) can both be true, but they cannot both be false. Since subcontraries are negations of universal ...

  9. Literal and figurative language - Wikipedia

    en.wikipedia.org/wiki/Literal_and_figurative...

    An oxymoron is a figure of speech in which a pair of opposite or contradictory terms is used together for emphasis. [27] Examples: Organized chaos, Same difference, Bittersweet. A paradox is a statement or proposition which is self-contradictory, unreasonable, or illogical. [28] Example: This statement is a lie.