Definitions for logical quantifier
log·i·cal quan·ti·fi·er

Princeton's WordNetRate this definition:0.0 / 0 votes

1. quantifier, logical quantifiernoun

   (logic) a word (such as `some' or `all' or `no') that binds the variables in a logical proposition

WikipediaRate this definition:0.0 / 0 votes

1. logical quantifier

   In logic, a quantifier is an operator that specifies how many individuals in the domain of discourse satisfy an open formula. For instance, the universal quantifier ∀ {\displaystyle \forall } in the first order formula ∀ x P ( x ) {\displaystyle \forall xP(x)} expresses that everything in the domain satisfies the property denoted by P {\displaystyle P} . On the other hand, the existential quantifier ∃ {\displaystyle \exists } in the formula ∃ x P ( x ) {\displaystyle \exists xP(x)} expresses that there exists something in the domain which satisfies that property. A formula where a quantifier takes widest scope is called a quantified formula. A quantified formula must contain a bound variable and a subformula specifying a property of the referent of that variable. The mostly commonly used quantifiers are ∀ {\displaystyle \forall } and ∃ {\displaystyle \exists } . These quantifiers are standardly defined as duals; in classical logic, they are interdefinable using negation. They can also be used to define more complex quantifiers, as in the formula ¬ ∃ x P ( x ) {\displaystyle \neg \exists xP(x)} which expresses that nothing has the property P {\displaystyle P} . Other quantifiers are only definable within second order logic or higher order logics. Quantifiers have been generalized beginning with the work of Mostowski and Lindström. In a first-order logic statement, quantifications in the same type (either universal quantifications or existential quantifications) can be exchanged without changing the meaning of the statement, while the exchange of quantifications in different types changes the meaning. As an example, the only difference in the definition of uniform continuity and (ordinary) continuity is the order of quantifications. First order quantifiers approximate the meanings of some natural language quantifiers such as "some" and "all". However, many natural language quantifiers can only be analyzed in terms of generalized quantifiers.

ChatGPTRate this definition:0.0 / 0 votes

1. logical quantifier

   A logical quantifier is a symbol used in formal logic, mathematical logic, and related fields, which gives information about the quantity of variables or terms within a statement. They specify the quantity of instances to which a predicate or proposition applies. The most common logical quantifiers are the universal quantifier (described as "for all" or "given any") and the existential quantifier (described as "there exists" or "for some"), providing the logical basis for the concepts of "all" and "some" respectively.

WikidataRate this definition:0.0 / 0 votes

1. Logical Quantifier

   Used as equivalents to there exists at least one thing x and for all things x.

Matched Categories

1. • Logic
   • Word

How to pronounce logical quantifier?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say logical quantifier in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of logical quantifier in Chaldean Numerology is: 1

2. Pythagorean Numerology

   The numerical value of logical quantifier in Pythagorean Numerology is: 8

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=logical quantifier
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Logical_Quantifier
3. ^ ChatGPT
   https://chat.openai.com
4. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=logical quantifier