Glossary:Universal Quantifier - Revision history

Lara: /* Examples */

2016-06-24T01:51:10Z

Examples

← Older revision		Revision as of 01:51, 24 June 2016
Line 6:		Line 6:

	==Examples==		==Examples==
	~~'''~~Every dog is barking.~~'''~~<br/>		Every dog is barking.<br/>
	∀x (DOG (x) → BARK (x)) <br/>		'''∀x (DOG (x) → BARK (x))''' <br/>
	''“For every thing x, if x is a dog then x is barking.”''<br/>		''“For every thing x, if x is a dog then x is barking.”''<br/>

	~~'''~~All students were tired.~~'''~~<br/>		All students were tired.<br/>
	∀x (STUDENT (x) → TIRED (x)) <br/>		'''∀x (STUDENT (x) → TIRED (x))''' <br/>
	''“For every thing x, if x is a student then x is tired.”''<br/>		''“For every thing x, if x is a student then x is tired.”''<br/>

Lara: /* Related Terms */

2016-06-24T01:50:33Z

Related Terms

← Older revision		Revision as of 01:50, 24 June 2016
Line 20:		Line 20:
	==Related Terms==		==Related Terms==
	* [[Glossary:Existential Quantifier \| Existential Quantifier]]		* [[Glossary:Existential Quantifier \| Existential Quantifier]]
	* 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]]
	* Variable		* [[Glossary:Variable \| Variable]]

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

Lara: Created page with "=Universal Quantifier= BE /ˌju:nɪˈvɜ:səl ˈkwɒntɪfaɪə/, AE /ˌjunəˈvɜrsəl ˈkwɑntɪˌfaɪər/ ==Definition== The universal quantifier (symbolized by the '''oper..."

2016-06-24T00:46:40Z

Created page with "=Universal Quantifier= BE /ˌju:nɪˈvɜ:səl ˈkwɒntɪfaɪə/, AE /ˌjunəˈvɜrsəl ˈkwɑntɪˌfaɪər/ ==Definition== The universal quantifier (symbolized by the '''oper..."

New page

=Universal Quantifier=
BE /ˌju:nɪˈvɜ:səl ˈkwɒntɪfaɪə/, AE /ˌjunəˈvɜrsəl ˈkwɑntɪˌfaɪər/

==Definition==
The universal quantifier (symbolized by the '''operator ∀''') is used to mean that the statement is true for '''every entity''' in the domain in question and is conveyed by such expressions as '''''all, every''''' and '''''each'''''.

==Examples==
'''Every dog is barking.''' 
∀x (DOG (x) → BARK (x)) 
''“For every thing x, if x is a dog then x is barking.”'' 

'''All students were tired.''' 
∀x (STUDENT (x) → TIRED (x)) 
''“For every thing x, if x is a student then x is tired.”'' 

==References==
* Gregory, Howard. 2000. ''Semantics. Language Workbook.'' London/New York: Rutledge.
* Riemer, Nick. 2010. ''Introducing Semantics.'' Cambridge [et al.]: Cambridge University Press.

==Related Terms==
* [[Glossary:Existential Quantifier | Existential Quantifier]]
* Logical Form
* [[Glossary:Logical Quantifier | Logical Quantifier]]
* Logical Symbol
* Predicate Logic (First-order Predicate Logic)
* [[Glossary:Quantifiers | Quantifier]]
* Restricted Quantifier
* Variable

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