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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 (∧) ====  | ||
Symbol:     | Symbol:   ∧ <br />  | ||
Sentence: Harry is a student and Snape is a teacher. <br />  | Sentence: Harry is a student and Snape is a teacher. <br />  | ||
Formulae:   | Formulae: '''student'''('''harry''') ∧ '''teacher'''('''snape''')  | ||
| Line 17: | Line 17: | ||
[[File:Truthtable_AND1.png|400px]]  | [[File:Truthtable_AND1.png|400px]]  | ||
=== OR ===  | |||
Symbol:   | Symbol: ∨ <br />  | ||
Sentence: Harry is a student or Snape is a teacher. <br />  | Sentence: Harry is a student or Snape is a teacher. <br />  | ||
Formulae:   | Formulae: '''student'''('''harry''') ∨ '''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
OR
Symbol: ∨ 
Sentence: Harry is a student or Snape is a teacher. 
Formulae: student(harry) ∨ teacher(snape)
Truthtable OR
IF/THEN
Symbol: --> 
Sentence: If Harry is a student then Snape is a teacher. 
Formulae: [[student(harry) --> teacher(snape)]] = true/false
Truthtable IF/THEN
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