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Self-contradiction (other)
Self-contradiction or self-contradictory can refer to: * Auto-antonym, a word with multiple meanings of which one is the reverse of another * Oxymoron, a figure of speech that juxtaposes concepts with opposing meanings within a word or phrase that creates an ostensible self-contradiction * Paradox, a logically self-contradictory statement or a statement that runs contrary to one's expectation * Self-refuting idea or reductio ad absurdum, idea or statement whose falsehood is a logical consequence of the original See also * Contradiction In traditional logic, a contradiction involves a proposition conflicting either with itself or established fact. It is often used as a tool to detect disingenuous beliefs and bias. Illustrating a general tendency in applied logic, Aristotle's ...
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Auto-antonym
A contronym or contranym is a word with two Opposite (semantics), opposite word sense, meanings. For example, the word ''wikt:original, original'' can mean "authentic, traditional", or "novel, never done before". This feature is also called enantiosemy, enantionymy (''wikt:enantio-#Prefix, enantio-'' means "opposite"), antilogy or autoantonymy. An enantiosemic term is by definition polysemy, polysemic. Nomenclature A contronym is alternatively called an ''autantonym'', ''auto-antonym'', ''antagonym'', ''enantiodrome'', ''enantionym'', ''Janus word'' (after the Roman god Janus, who is usually depicted with two faces), ''self-antonym'', ''antilogy'', or ''addad'' (Arabic, singular ''didd''). Linguistic mechanisms Some pairs of contronyms are true homographs, i.e., distinct words with different etymology, etymologies which happen to have the same form. For instance ''cleave'' "separate" is from Old English language, Old English ''clēofan'', while ''cleave'' "adhere" is from Ol ...
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Oxymoron
An oxymoron (plurals: oxymorons and oxymora) is a figure of speech that Juxtaposition, juxtaposes concepts with opposite meanings within a word or in a phrase that is a self-contradiction (other), self-contradiction. As a rhetorical device, an oxymoron illustrates a point to communicate and reveal a paradox. A general meaning of "contradiction in terms" is recorded by the 1902 edition of the ''Oxford English Dictionary. The term ''oxymoron'' is first recorded as Latinized Greek ', in Maurus Servius Honoratus (c. AD 400); it is derived from the Ancient Greek, Greek word ' "sharp, keen, pointed" Retrieved 26 February 2013. and "dull, stupid, foolish"; as it were, "sharp-dull", "keenly stupid", or "pointedly foolish".. Retrieved 26 February 2013. "Pointedly foolish: a witty saying, the more pointed from being paradoxical or seemingly absurd." The word ''oxymoron'' is autological, i.e., it is itself an example of an oxymoron. The Greek compound word ', which would corre ...
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Paradox
A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. 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. A paradox usually involves contradictory-yet-interrelated elements that exist simultaneously and persist over time. They result in "persistent contradiction between interdependent elements" leading to a lasting "unity of opposites". In logic, many paradoxes exist that are known to be invalid arguments, yet are nevertheless valuable in promoting critical thinking, while other paradoxes have revealed errors in definitions that were assumed to be rigorous, and have caused axioms of mathematics and logic to be re-examined. One example is Russell's paradox, which questions whether a "list of all lists that do not contain themselves" would include itself and showed that attempts to found set theory on ...
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Self-refuting Idea
A self-refuting idea or self-defeating idea is an idea or statement whose falsehood is a logical consequence of the act or situation of holding them to be true. Many ideas are called self-refuting by their detractors, and such accusations are therefore almost always controversial, with defenders stating that the idea is being misunderstood or that the argument is invalid. For these reasons, none of the ideas below are unambiguously or incontrovertibly self-refuting. These ideas are often used as axioms, which are definitions taken to be true ( tautological assumptions), and cannot be used to test themselves, for doing so would lead to only two consequences: consistency (circular reasoning) or exception (self- contradiction). Variations Directly self-denying statements Directly self-denying statements are characterised by being necessarily (or inherently) false. The Epimenides paradox is a statement of the form "this statement is false". Such statements troubled philosophers, es ...
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Reductio Ad Absurdum
In logic, (Latin for "reduction to absurdity"), also known as (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. This argument form traces back to Ancient Greek philosophy and has been used throughout history in both formal mathematical and philosophical reasoning, as well as in debate. In mathematics, the technique is called ''proof by contradiction''. In formal logic, this technique is captured by an axiom for "Reductio ad Absurdum", normally given the abbreviation RAA, which is expressible in propositional logic. This axiom is the introduction rule for negation (see ''negation introduction''). Examples The "absurd" conclusion of a ''reductio ad absurdum'' argument can take a range of forms, as these examples show: * The Earth cannot be flat; otherwise, since the Earth is assumed to be finite in extent, we would find peo ...
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