Glossary:Logical Quantifier

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Pronunciation

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

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.

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

  • Existential Quantifier
  • Logical Form
  • Logical Symbol
  • Predicate Logic (First-order Predicate Logic)
  • Quantifier
  • Universal Quantifier
  • Variable