Wiki-ch2: Difference between revisions

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(Created page with "= Additional Wiki pages for Chapter 2 = == Truth tables == {{CreatedByStudentsWS1213}} === Truth tables for connectives === ==== AND (∧) ==== Symbol: Ʌ <br /> Sente...")
 
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==== AND (&and;) ====
==== AND (&and;) ====


Symbol:  Ʌ <br />
Symbol:  &and; <br />
Sentence: Harry is a student and Snape is a teacher. <br />
Sentence: Harry is a student and Snape is a teacher. <br />
Formulae: <nowiki>[[</nowiki>'''student(harry) Ʌ teacher(snape)''']] = ''true/false''
Formulae: '''student'''('''harry''') &and; '''teacher'''('''snape''')




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[[File:Truthtable_AND1.png|400px]]
[[File:Truthtable_AND1.png|400px]]


==== OR ====
=== OR ===


Symbol: V <br />
Symbol: &or; <br />
Sentence: Harry is a student or Snape is a teacher. <br />
Sentence: Harry is a student or Snape is a teacher. <br />
Formulae: <nowiki>[[</nowiki>'''student(harry) V teacher(snape)''']] = ''true/false''
Formulae: '''student'''('''harry''') &or; '''teacher'''('''snape''')





Revision as of 14:49, 11 April 2013

Additional Wiki pages for Chapter 2

Truth tables

Template:CreatedByStudentsWS1213

Truth tables for connectives

AND (∧)

Symbol: ∧
Sentence: Harry is a student and Snape is a teacher.
Formulae: student(harry) ∧ teacher(snape)


Truthtable AND

Truthtable AND1.png

OR

Symbol: ∨
Sentence: Harry is a student or Snape is a teacher.
Formulae: student(harry) ∨ teacher(snape)


Truthtable OR

Truthtable OR1.png

IF/THEN

Symbol: -->
Sentence: If Harry is a student then Snape is a teacher.
Formulae: [[student(harry) --> teacher(snape)]] = true/false


Truthtable IF/THEN

Truthtable IF THEN2.png

NOT

Symbol: ¬
Sentence: Harry is not a student.
Formulae: [[¬student(harry)]] = true/false

The original formulae has to be false, that the overall statement is true.

Example: Only if student(harry) is false, ¬student(harry) is true.


Truthtable NOT

Truthtable NOT.png