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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 * Formal fallacy, a pattern of reasoning rendered invalid by a flaw in its logical structure * 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, idea or statement whose falsehood is a logical consequence of the original See also * Contradiction * Reductio ad absurdum In logic, (Latin for "reduction to absurdity"), also known as (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 absu ...
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Auto-antonym
An auto-antonym or autantonym, also called a contronym or antagonym among other terms, is a word with multiple meanings (senses) of which one is the reverse of another. For example, the word '' cleave'' can mean "to cut apart" or "to bind together". This phenomenon is called enantiosemy, enantionymy ('' enantio-'' means "opposite"), antilogy or autantonymy. An enantiosemic term is necessarily polysemic. Nomenclature An auto-antonym is alternatively called an antagonym, contronym, contranym, 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 which happen to have the same form. For instance ''cleave'' "separate" is from Old English ''clēofan'', while ''cleave'' "adhere" is from Old English ''clifian'', which was pronounced differently. Other contronym ...
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Formal Fallacy
In philosophy, a formal fallacy, deductive fallacy, logical fallacy or non sequitur (; Latin for " tdoes not follow") is a pattern of reasoning rendered invalid by a flaw in its logical structure that can neatly be expressed in a standard logic system, for example propositional logic.Harry J. Gensler, ''The A to Z of Logic'' (2010) p. 74. Rowman & Littlefield, It is defined as a deductive argument that is invalid. The argument itself could have true premises, but still have a false conclusion. Thus, a formal fallacy is a fallacy where deduction goes wrong, and is no longer a logical process. This may not affect the truth of the conclusion, since validity and truth are separate in formal logic. While a logical argument is a non sequitur if, and only if, it is invalid, the term "non sequitur" typically refers to those types of invalid arguments which do not constitute formal fallacies covered by particular terms (e.g., affirming the consequent). In other words, in practice, "''non s ...
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Oxymoron
An oxymoron (usual plural oxymorons, more rarely oxymora) is a figure of speech that juxtaposes concepts with opposing meanings within a word or phrase that creates an ostensible self-contradiction. An oxymoron can be used as a rhetorical device to illustrate a rhetorical point or to reveal a paradox. A more general meaning of "contradiction in terms" (not necessarily for rhetoric effect) is recorded by the ''OED'' for 1902. The term is first recorded as Latinized Greek ', in Maurus Servius Honoratus (c. AD 400); it is derived from the Greek word ' "sharp, keen, pointed" Retrieved 2013-02-26. and "dull, stupid, foolish"; as it were, "sharp-dull", "keenly stupid", or "pointedly foolish".. Retrieved 2013-02-26. "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 correspond to the Latin formation, does not seem ...
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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 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 the identification ...
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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, espec ...
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Contradiction
In traditional logic, a contradiction occurs when a proposition conflicts 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 law of noncontradiction states that "It is impossible that the same thing can at the same time both belong and not belong to the same object and in the same respect." In modern formal logic and type theory, the term is mainly used instead for a ''single'' proposition, often denoted by the falsum symbol \bot; a proposition is a contradiction if false can be derived from it, using the rules of the logic. It is a proposition that is unconditionally false (i.e., a self-contradictory proposition). This can be generalized to a collection of propositions, which is then said to "contain" a contradiction. History By creation of a paradox, Plato's '' Euthydemus'' dialogue demonstrates the need for the notion of ''contradiction''. In the ensuing ...
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