Glossary:Existential Quantifier: Difference between revisions
Jump to navigation
Jump to search
| Line 20: | Line 20: | ||
==Related Terms== | ==Related Terms== | ||
Logical Form | * Logical Form | ||
Logical Quantifier | * [[Glossary:Logical Quantifier | Logical Quantifier]] | ||
Logical Symbol | * Logical Symbol | ||
Predicate Logic (First-order Predicate Logic) | * Predicate Logic (First-order Predicate Logic) | ||
Quantifier | * [[Glossary:Quantifiers | Quantifier]] | ||
Restricted Quantifier | * Restricted Quantifier | ||
Universal Quantifier | * Universal Quantifier | ||
Variable | * Variable | ||
Revision as of 00:37, 24 June 2016
Existential Quantifier
BE /ˌɛgzɪˈstɛnʃəl ˈkwɒntɪfaɪə/, AE /ˌɛgˌzɪˈstɛnʧəl ˈkwɑntɪˌfaɪər/
Definition
The existential quantifier (symbolized by the operator ∃) is used to mean that the statement is true of at least one entity in the domain and stands for expressions with a/an (one), some and there is.
Examples
A dog barked.
∃x (DOG (x) & BARK (x))
“There is at least one thing x such that x is a dog and x barked.”
Some birds were singing.
∃x (BIRD (x) & SING (x))
“There is at least one thing x such that x is a bird and x sings.”
References
- Gregory, Howard. 2000. Semantics. Language Workbook. London/New York: Rutledge.
- Riemer, Nick. 2010. Introducing Semantics. Cambridge [et al.]: Cambridge University Press.
Related Terms
- Logical Form
- Logical Quantifier
- Logical Symbol
- Predicate Logic (First-order Predicate Logic)
- Quantifier
- Restricted Quantifier
- Universal Quantifier
- Variable