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  2. Opposite - Wikipedia

    en.wikipedia.org/wiki/Opposite

    The relationship between opposites is known as opposition. A member of a pair of opposites can generally be determined by the question What is the opposite of X ? The term antonym (and the related antonymy) is commonly taken to be synonymous with opposite, but antonym also has other more restricted meanings. Graded (or gradable) antonyms are ...

  3. Contronym - Wikipedia

    en.wikipedia.org/wiki/Contronym

    A contronym is a word with two opposite meanings. For example, the word cleave can mean "to cut apart" or "to bind together". This feature is also called enantiosemy, [1] [2] enantionymy (enantio-means "opposite"), antilogy or autoantonymy. An enantiosemic term is by definition polysemic.

  4. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    3. Between two groups, may mean that the first one is a proper subgroup of the second one. > (greater-than sign) 1. Strict inequality between two numbers; means and is read as "greater than". 2. Commonly used for denoting any strict order. 3. Between two groups, may mean that the second one is a proper subgroup of the first one. ≤ 1.

  5. Glossary of mathematical jargon - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    The language of mathematics has a wide vocabulary of specialist and technical terms. It also has a certain amount of jargon: commonly used phrases which are part of the culture of mathematics, rather than of the subject.

  6. Antithesis - Wikipedia

    en.wikipedia.org/wiki/Antithesis

    Antithesis (pl.: antitheses; Greek for "setting opposite", from ἀντι-"against" and θέσις "placing") is used in writing or speech either as a proposition that contrasts with or reverses some previously mentioned proposition, or when two opposites are introduced together for contrasting effect.

  7. Proof by contradiction - Wikipedia

    en.wikipedia.org/wiki/Proof_by_contradiction

    More broadly, proof by contradiction is any form of argument that establishes a statement by arriving at a contradiction, even when the initial assumption is not the negation of the statement to be proved. In this general sense, proof by contradiction is also known as indirect proof, proof by assuming the opposite, [2] and reductio ad ...

  8. Contradiction - Wikipedia

    en.wikipedia.org/wiki/Contradiction

    On the topic of the definition of tautologous, Nagel and Newman create two mutually exclusive and exhaustive classes K 1 and K 2, into which fall (the outcome of) the axioms when their variables (e.g. S 1 and S 2 are assigned from these classes). This also applies to the primitive formulas.

  9. 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.