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  2. Yes and no - Wikipedia

    en.wikipedia.org/wiki/Yes_and_no

    Yes and no, or similar word pairs, are expressions of the affirmative and the negative, respectively, in several languages, including English.Some languages make a distinction between answers to affirmative versus negative questions and may have three-form or four-form systems.

  3. Euler diagram - Wikipedia

    en.wikipedia.org/wiki/Euler_diagram

    A: The Universal Affirmative Example: "All metals are elements." E: The Universal Negative Example: "No metals are compound substances." I: The Particular Affirmative Example: "Some metals are brittle." O: The Particular Negative Example: "Some metals are not brittle." [8] Venn (1834–1923) comments on the remarkable prevalence of the Euler ...

  4. Affirmation and negation - Wikipedia

    en.wikipedia.org/wiki/Affirmation_and_negation

    The affirmative, in an English example such as "the police chief here is a woman", declares a simple fact, in this case, it is a fact regarding the police chief and asserts that she is a woman. [5] In contrast, the negative, in an English example such as "the police chief here is not a man", is stated as an assumption for people to believe. [5]

  5. Categorical proposition - Wikipedia

    en.wikipedia.org/wiki/Categorical_proposition

    The two possible qualities are called affirmative and negative. [4] For instance, an A-proposition ("All S is P") is affirmative since it states that the subject is contained within the predicate. On the other hand, an O-proposition ("Some S is not P") is negative since it excludes the subject from the predicate.

  6. False positives and false negatives - Wikipedia

    en.wikipedia.org/wiki/False_positives_and_false...

    Complementarily, the false negative rate (FNR) is the proportion of positives which yield negative test outcomes with the test, i.e., the conditional probability of a negative test result given that the condition being looked for is present. In statistical hypothesis testing, this fraction is given the letter β.

  7. Square of opposition - Wikipedia

    en.wikipedia.org/wiki/Square_of_opposition

    Subalternation is a relation between the particular statement and the universal statement of the same quality (affirmative or negative) such that the particular is implied by the universal, while superalternation is a relation between them such that the falsity of the universal (equivalently the negation of the universal) is implied by the ...

  8. Contraposition - Wikipedia

    en.wikipedia.org/wiki/Contraposition

    " In this case, unlike the last example, the inverse of the statement is true. The converse is "If a polygon has four sides, then it is a quadrilateral." Again, in this case, unlike the last example, the converse of the statement is true. The negation is "There is at least one quadrilateral that does not have four sides.

  9. Negation - Wikipedia

    en.wikipedia.org/wiki/Negation

    For example, with the predicate P as "x is mortal" and the domain of x as the collection of all humans, () means "a person x in all humans is mortal" or "all humans are mortal". The negation of it is ¬ ∀ x P ( x ) ≡ ∃ x ¬ P ( x ) {\displaystyle \neg \forall xP(x)\equiv \exists x\neg P(x)} , meaning "there exists a person x in all humans ...

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