universal quantifier

Also found in: Thesaurus, Encyclopedia, Wikipedia.

universal quantifier

(Logic) logic a formal device indicating that the open sentence that follows is true of every member of the relevant universe of interpretation, as (∀x)(FxGx) or (x)(FxGx): literally, for everything, if it is an F it is a G; that is, all Fs are Gs. Usual symbol:

u′niver′sal quan′tifier

Logic. a quantifier indicating that the sentential function within its scope is true for all values of any variable included in the quantifier.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.universal quantifier - a logical quantifier of a proposition that asserts that the proposition is true for all members of a class of things
quantifier - (grammar) a word that expresses a quantity (as `fifteen' or `many')
quantificateur universel
Mentioned in ?
References in periodicals archive ?
By placing an existential quantifier [there exists] before x ("for some x") and an universal quantifier [for all] before y ("for all y"), we can bind these variables, as may be seen bellow [Bird, 2009]:
The classical Universal Quantifier is the following way:
The proposed semantics stays close to the standard account: the epsilon-operator substitutes the universal quantifier present in standard semantics by arbitrarily binding the open world-variable.
Specific topics include evaluating the morphological form of the German universal quantifier, the corruption of text types as seen in comedy and readers' commentaries in online newspapers, fictional orality as a challenge for the translator, using the Morphilo toolset to deal with the diversity of English historical texts, and communicative space and language use in the age of globalized migration.
Abstraction makes it possible to define the property of being necessarily identical to entity x as bound by the universal quantifier in K(Q-W) steps (1) and (3).
Because the negation of either an existential or universal quantifier which is itself followed by a negation is identical to its opposite, it might at first appear that the diagonal opposites in Lacan's schema mean almost the same thing.
is, like the universal quantifier of first-order predicate logic, an operator that binds a variable to express generality.
checking in the process if he is in possession of or has developed a rudimentary but accurate feeling for syntax to concentrate afterwards in semantics, once we have informed him that the traditional symbol for the universal quantifier "for any" is "[for all]", an inverted letter "A", and for the existential quantifier "there exists" is "[there exist]", a rotated letter "E".
This contrast indicates that the two scope options in sentences (i) and (ii) do not come result from the raising of the universal quantifier to adjoin to the matrix clause, because this option is open in all the cases.
Consider for example the interaction between the universal quantifier and negation in the sentence in (1).
Huang (Asian studies and Chinese and linguistics, Haverford College, Pennsylvania) explores the formal definition of universal quantification, arguing that the formal definition of EVERY, which stands for any distributive universal quantifier, ought to incorporate a skolem function to capture the paired reading that for every x there is a y, which is present in all universal quantifier sentences.
AQ) let us take the range of the universal quantifier at a world to be the domain of objects existing at that world.

Full browser ?