Glossary:Logical Quantifier: Difference between revisions

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== Definition ==
== Definition ==
In predicate logic the two fundamental quantifiers are the logical quantifiers (also called generalized quantifiers), which are the universal quantifier and the existential quantifier.
In predicate logic the two fundamental quantifiers are the '''logical quantifiers''', which are the '''universal quantifier''' and the '''existential quantifier'''.


== Examples ==
== Examples ==
* Universal quantifier: ∀ apple (Read as: for every apple, for all apples)
* Universal quantifier: ∀ apple (Read as: ''for every apple, for all apples'')
* Existential quantifier: ∃ apple (Read as: at least one apple exists)
* Existential quantifier: ∃ apple (Read as: ''at least one apple exists'')


== References ==
== References ==
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== Related Terms ==
== Related Terms ==
* Existential Quantifier
* [[Glossary:Existential Quantifier | Existential Quantifier]]
* Logical Form
* [[Glossary:Logical Form | Logical Form]]
* Logical Symbol
* [[Glossary:Logical Operator | Logical Operator (Propositional Connective)]]
* Predicate Logic (First-order Predicate Logic)
* [[Glossary:Predicate logic| Predicate Logic (First-order Logic)]]
* [[Glossary:Quantifiers | Quantifier]]
* [[Glossary:Quantifiers | Quantifier]]
* Universal Quantifier
* [[Glossary:Universal Quantifier| Universal Quantifier]]
* Variable
* [[Glossary:Variable | Variable]]


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Latest revision as of 09:10, 29 June 2016

Logical Quantifier

BE /ˈlɒʤɪkəl ˈkwɒntɪfaɪə/, AE /ˈlɑ:ʤɪkl̩ ˈkwɑntɪˌfaɪər/

Definition

In predicate logic the two fundamental quantifiers are the logical quantifiers, which are the universal quantifier and the existential quantifier.

Examples

  • Universal quantifier: ∀ apple (Read as: for every apple, for all apples)
  • Existential quantifier: ∃ apple (Read as: at least one apple exists)

References

Kearns, Kate. 2000. Semantics. Basingstoke: Macmillan.

Related Terms


Back to the Basic Glossary