Glossary:Existential Quantifier: Difference between revisions
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(Created page with "=Existential Quantifier= BE /ˌɛgzɪˈstɛnʃəl ˈkwɒntɪfaɪə/, AE /ˌɛgˌzɪˈstɛnʧəl ˈkwɑntɪˌfaɪər/ ==Definition== The existential quantifier (symbolized by...") |
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==Definition== | ==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. | 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== | ==Examples== | ||
Revision as of 00:35, 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