Glossary:Existential Quantifier - Revision history

Lara: /* Examples */

2016-06-24T01:51:40Z

Examples

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	==Examples==		==Examples==

	~~'''~~A dog barked.~~'''~~ <br/>		A dog barked. <br/>
	∃x (DOG (x) & BARK (x)) <br/>		'''∃x (DOG (x) & BARK (x))''' <br/>
	''“There is at least one thing x such that x is a dog and x barked.”'' <br/>		''“There is at least one thing x such that x is a dog and x barked.”'' <br/>

	~~'''~~Some birds were singing.~~'''~~ <br/>		Some birds were singing. <br/>
	∃x (BIRD (x) & SING (x)) <br/>		'''∃x (BIRD (x) & SING (x))''' <br/>
	''“There is at least one thing x such that x is a bird and x sings.”'' <br/>		''“There is at least one thing x such that x is a bird and x sings.”'' <br/>

Lara: /* Related Terms */

2016-06-24T01:36:21Z

Related Terms

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	==Related Terms==		==Related Terms==
	* Logical Form		* [[Glossary:Logical Form \| Logical Form]]
			* [[Glossary:Logical Operator \| Logical Operator (Propositional Connective)]]
	* [[Glossary:Logical Quantifier \| Logical Quantifier]]		* [[Glossary:Logical Quantifier \| Logical Quantifier]]
	* ~~Logical Symbol~~		* [[Glossary:Predicate logic\| Predicate Logic (First-order Logic)]]
	* Predicate Logic (First-order ~~Predicate~~ Logic)
	* [[Glossary:Quantifiers \| Quantifier]]		* [[Glossary:Quantifiers \| Quantifier]]
	* Restricted Quantifier		* [[Glossary:Restricted Quantifier \| Restricted 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]]

Lara at 00:40, 24 June 2016

2016-06-24T00:40:03Z

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	* Universal Quantifier		* Universal Quantifier
	* Variable		* Variable

			<hr />
			Back to the [[Basic_Glossary\|Basic Glossary]]

Lara: /* Related Terms */

2016-06-24T00:37:37Z

Related Terms

← Older revision		Revision as of 00:37, 24 June 2016
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	==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

Lara: /* Examples */

2016-06-24T00:36:22Z

Examples

← Older revision		Revision as of 00:36, 24 June 2016
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	'''A dog barked.''' <br/>		'''A dog barked.''' <br/>
	∃x (DOG (x) & BARK (x)) <br/>		∃x (DOG (x) & BARK (x)) <br/>
	“There is at least one thing x such that x is a dog and x barked.” <br/>		''“There is at least one thing x such that x is a dog and x barked.”'' <br/>

	'''Some birds were singing.''' <br/>		'''Some birds were singing.''' <br/>
	∃x (BIRD (x) & SING (x)) <br/>		∃x (BIRD (x) & SING (x)) <br/>
	“There is at least one thing x such that x is a bird and x sings.” <br/>		''“There is at least one thing x such that x is a bird and x sings.”'' <br/>

	==References==		==References==

Lara: /* Examples */

2016-06-24T00:36:02Z

Examples

← Older revision		Revision as of 00:36, 24 June 2016
Line 7:		Line 7:
	==Examples==		==Examples==

	A dog barked. <br/>		'''A dog barked.''' <br/>
	∃x (DOG (x) & BARK (x)) <br/>		∃x (DOG (x) & BARK (x)) <br/>
	“There is at least one thing x such that x is a dog and x barked.” <br/>		“There is at least one thing x such that x is a dog and x barked.” <br/>

	Some birds were singing. <br/>		'''Some birds were singing.''' <br/>
	∃x (BIRD (x) & SING (x)) <br/>		∃x (BIRD (x) & SING (x)) <br/>
	“There is at least one thing x such that x is a bird and x sings.” <br/>		“There is at least one thing x such that x is a bird and x sings.” <br/>

Lara: /* Definition */

2016-06-24T00:35:29Z

Definition

← Older revision		Revision as of 00:35, 24 June 2016
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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==

Lara: Created page with "=Existential Quantifier= BE /ˌɛgzɪˈstɛnʃəl ˈkwɒntɪfaɪə/, AE /ˌɛgˌzɪˈstɛnʧəl ˈkwɑntɪˌfaɪər/ ==Definition== The existential quantifier (symbolized by..."

2016-06-24T00:34:33Z

Created page with "=Existential Quantifier= BE /ˌɛgzɪˈstɛnʃəl ˈkwɒntɪfaɪə/, AE /ˌɛgˌzɪˈstɛnʧəl ˈkwɑntɪˌfaɪər/ ==Definition== The existential quantifier (symbolized by..."

New page

=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