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  2. Double negative - Wikipedia

    en.wikipedia.org/wiki/Double_negative

    A double negative is a construction occurring when two forms of grammatical negation are used in the same sentence. This is typically used to convey a different shade ...

  3. Double negation - Wikipedia

    en.wikipedia.org/wiki/Double_negation

    In propositional logic, the double negation of a statement states that "it is not the case that the statement is not true". In classical logic, every statement is logically equivalent to its double negation, but this is not true in intuitionistic logic; this can be expressed by the formula A ≡ ~(~A) where the sign ≡ expresses logical equivalence and the sign ~ expresses negation.

  4. Negation - Wikipedia

    en.wikipedia.org/wiki/Negation

    In C (and some other languages descended from C), double negation (!!x) is used as an idiom to convert x to a canonical Boolean, ie. an integer with a value of either 0 or 1 and no other. Although any integer other than 0 is logically true in C and 1 is not special in this regard, it is sometimes important to ensure that a canonical value is ...

  5. Propositional calculus - Wikipedia

    en.wikipedia.org/wiki/Propositional_calculus

    The language , then, is defined either as ... as , which accounts for naming rule 1 the "Rule of Double Negation". [39] [69] One constructs a ...

  6. List of logic symbols - Wikipedia

    en.wikipedia.org/wiki/List_of_logic_symbols

    This is a statement in the metalanguage, not the object language. The notation a ≡ b {\displaystyle a\equiv b} may occasionally be seen in physics, meaning the same as a := b {\displaystyle a:=b} .

  7. Affirmation and negation - Wikipedia

    en.wikipedia.org/wiki/Affirmation_and_negation

    If affirmation and negation were missing from language people would only be able to communicate through possibilities. [2] The recent Reusing Inhibition for Negation (RIN) hypothesis states that there is a specific inhibitory control mechanism (one that is reused) that is needed when trying to understand negation in sentences.

  8. Double-negation translation - Wikipedia

    en.wikipedia.org/wiki/Double-negation_translation

    The double-negation translation was used by Gödel (1933) to study the relationship between classical and intuitionistic theories of the natural numbers ("arithmetic"). He obtains the following result: If a formula φ is provable from the axioms of Peano arithmetic then φ N is provable from the axioms of Heyting arithmetic.

  9. Literal (mathematical logic) - Wikipedia

    en.wikipedia.org/wiki/Literal_(mathematical_logic)

    A negative literal is the negation of an atom (e.g., ). The polarity of a literal is positive or negative depending on whether it is a positive or negative literal. In logics with double negation elimination (where ¬ ¬ x ≡ x {\displaystyle \lnot \lnot x\equiv x} ) the complementary literal or complement of a literal l {\displaystyle l} can ...