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Oxymoron: a combination of two contradictory terms; Zeugma and Syllepsis: the use of a single phrase in two ways simultaneously; Pun: deliberately mixing two similar-sounding words; Slang: the use of informal words or expressions; Techniques that involve the manipulation of the entire sentence or passage. Dog Latin
The discovery of these paradoxes revealed that not all sets which can be described in the language of naive set theory can actually be said to exist without creating a contradiction. The 20th century saw a resolution to these paradoxes in the development of the various axiomatizations of set theories such as ZFC and NBG in common use today.
In mathematics, a proof by infinite descent, also known as Fermat's method of descent, is a particular kind of proof by contradiction [1] used to show that a statement cannot possibly hold for any number, by showing that if the statement were to hold for a number, then the same would be true for a smaller number, leading to an infinite descent and ultimately a contradiction. [2]
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.
An oxymoron is a figure of speech in which a pair of opposite or contradictory terms is used together for emphasis. [25] Examples: Organized chaos, Same difference, Bittersweet. A paradox is a statement or proposition which is self-contradictory, unreasonable, or illogical. [26] Example: This statement is a lie.
In mathematics, a minimal counterexample is the smallest example which falsifies a claim, and a proof by minimal counterexample is a method of proof which combines the use of a minimal counterexample with the ideas of proof by induction and 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.
Tag for marking sentences or phrases that contradict other material in the same page by default, or a different page if one is specified. Template parameters [Edit template data] Parameter Description Type Status Article article 1 The article in which the contradictory information is found, if not the current article. The tag will link to that article. String optional Page page The page, if ...
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