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  2. Quantifier (logic) - Wikipedia

    en.wikipedia.org/wiki/Quantifier_(logic)

    Augustus De Morgan confirmed this in 1847, but modern usage began with De Morgan in 1862 where he makes statements such as "We are to take in both all and some-not-all as quantifiers". [ 13 ] Gottlob Frege , in his 1879 Begriffsschrift , was the first to employ a quantifier to bind a variable ranging over a domain of discourse and appearing in ...

  3. Category:Quantifier (logic) - Wikipedia

    en.wikipedia.org/wiki/Category:Quantifier_(logic)

    In semantics and mathematical logic, a quantifier is a way that an argument claims that an object with a certain property exists or that no object with a certain property exists. Not to be confused with Category:Quantification (science) .

  4. Universal quantification - Wikipedia

    en.wikipedia.org/wiki/Universal_quantification

    In symbolic logic, the universal quantifier symbol (a turned "A" in a sans-serif font, Unicode U+2200) is used to indicate universal quantification. It was first used in this way by Gerhard Gentzen in 1935, by analogy with Giuseppe Peano's (turned E) notation for existential quantification and the later use of Peano's notation by Bertrand Russell.

  5. First-order logic - Wikipedia

    en.wikipedia.org/wiki/First-order_logic

    Not all of these symbols are required in first-order logic. Either one of the quantifiers along with negation, conjunction (or disjunction), variables, brackets, and equality suffices. Other logical symbols include the following: Truth constants: T, V, or ⊤ for "true" and F, O, or ⊥ for "false" (V and O are from Polish notation). Without ...

  6. Non-numerical words for quantities - Wikipedia

    en.wikipedia.org/wiki/Non-numerical_words_for...

    Along with numerals, and special-purpose words like some, any, much, more, every, and all, they are quantifiers. Quantifiers are a kind of determiner and occur in many constructions with other determiners, like articles: e.g., two dozen or more than a score. Scientific non-numerical quantities are represented as SI units.

  7. Existential quantification - Wikipedia

    en.wikipedia.org/wiki/Existential_quantification

    It is usually denoted by the logical operator symbol ∃, which, when used together with a predicate variable, is called an existential quantifier (" ∃x" or "∃(x)" or "(∃x)" [1]). Existential quantification is distinct from universal quantification ("for all"), which asserts that the property or relation holds for all members of the domain.

  8. Lindström quantifier - Wikipedia

    en.wikipedia.org/wiki/Lindström_quantifier

    Lindström quantifiers generalize first-order quantifiers, such as the existential quantifier, the universal quantifier, and the counting quantifiers. They were introduced by Per Lindström in 1966. They were later studied for their applications in logic in computer science and database query languages .

  9. Uniqueness quantification - Wikipedia

    en.wikipedia.org/wiki/Uniqueness_quantification

    In mathematics and logic, the term "uniqueness" refers to the property of being the one and only object satisfying a certain condition. [1] This sort of quantification is known as uniqueness quantification or unique existential quantification, and is often denoted with the symbols "∃!"