AnswerEX3-a: Difference between revisions

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Sentence: Walter is a dog and lisa and tom enjoy watching soccer together.
Sentence: Alice is a dog and Lisa and Tom enjoy watching football together.
 


Here the interpretation in predicate logic notation:
Here the interpretation in predicate logic notation:


<nowiki>[[</nowiki>''dog (Walter) Ʌ enjoy-watching-soccer-together (Lisa,Tom)'']] = '''false''' <br/>


because <nowiki>[[</nowiki>''dog (Walter'')]]= '''true''' <br/>
<nowiki>[[</nowiki>'''dog (Alice) Ʌ enjoy-watching-football-together (Lisa,Tom)''']] = ''false''<br/>


::because I(''Walter'')= <'''Walter'''> and <'''Walter'''> is an element of  I(''dog'') <br/>


but <nowiki>[[</nowiki>''enjoy-watching-soccer-together (Lisa,Tom)'']] = '''false''' <br/>
because <nowiki>[[</nowiki>'''dog (Alice)''']]= ''false'' <br/>
 
 
::because I('''Alice''')= <''Alice''> and <''Alice''> is NOT an element of  I('''dog''') <br/>
 
 
and <nowiki>[[</nowiki>'''enjoy-watching-soccer-together (Lisa,Tom)''']] = ''true'' <br/>
 
 
::because I('''Lisa''')= <''Lisa''>, I('''Tom''')= <''Tom''> and <''Lisa,Tom''> '''is''' in the set of I('''enjoy-watching-football-together'''). <br/>


::because I(''Lisa'')= <'''Lisa'''>, I(''Tom'')= <'''Tom'''> and <'''Lisa,Tom'''> is NOT a set of I(''enjoy-watching-soccer-together''). <br/>


'''Conjunction (Ʌ)''': Both atomic formulae have to be true in order for the complex formula to be true.
'''Conjunction (Ʌ)''': Both atomic formulae have to be true in order for the complex formula to be true.


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*[[Interpretation_of_formulae_with_connectives|Link to the current exercise]]
*[[Interpretation_of_formulae_with_connectives|Link to the current exercise]]

Latest revision as of 13:43, 29 January 2013

Sentence: Alice is a dog and Lisa and Tom enjoy watching football together.


Here the interpretation in predicate logic notation:


[[dog (Alice) Ʌ enjoy-watching-football-together (Lisa,Tom)]] = false


because [[dog (Alice)]]= false


because I(Alice)= <Alice> and <Alice> is NOT an element of I(dog)


and [[enjoy-watching-soccer-together (Lisa,Tom)]] = true


because I(Lisa)= <Lisa>, I(Tom)= <Tom> and <Lisa,Tom> is in the set of I(enjoy-watching-football-together).


Conjunction (Ʌ): Both atomic formulae have to be true in order for the complex formula to be true.


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