Glossary:Logical Quantifier: Difference between revisions
		
		
		
		
		
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== Definition ==  | == Definition ==  | ||
In predicate logic the two fundamental quantifiers are the '''logical quantifiers'''   | 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 ==  | ||
| Line 15: | Line 15: | ||
== Related Terms ==  | == Related Terms ==  | ||
* [[Glossary:Existential Quantifier | Existential Quantifier]]  | * [[Glossary:Existential Quantifier | Existential Quantifier]]  | ||
* Logical Form  | * [[Glossary:Logical Form | Logical Form]]  | ||
* Logical   | * [[Glossary:Logical Operator | Logical Operator (Propositional Connective)]]  | ||
* Predicate Logic (First-order   | * [[Glossary:Predicate logic| Predicate Logic (First-order Logic)]]  | ||
* [[Glossary:Quantifiers | Quantifier]]  | * [[Glossary:Quantifiers | Quantifier]]  | ||
* [[Glossary:Universal Quantifier| Universal Quantifier]]  | * [[Glossary:Universal Quantifier| Universal Quantifier]]  | ||
* Variable  | * [[Glossary:Variable | Variable]]  | ||
<hr />  | <hr />  | ||
Back to the [[Basic_Glossary|Basic Glossary]]  | Back to the [[Basic_Glossary|Basic Glossary]]  | ||
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
- Existential Quantifier
 - Logical Form
 - Logical Operator (Propositional Connective)
 - Predicate Logic (First-order Logic)
 - Quantifier
 - Universal Quantifier
 - Variable
 
Back to the Basic Glossary