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[[File:Truthtable_AND1.png|400px]]  | [[File:Truthtable_AND1.png|400px]]  | ||
=== OR (∨) ===  | ==== OR (∨) ====  | ||
Symbol: ∨ <br />  | Symbol: ∨ <br />  | ||
Revision as of 14:57, 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: ⊃, → (Note: We use the symbol ⊃ in the textbook as it is more common in the logical literature.)
Sentence: If Harry is a student then Snape is a teacher. 
Formula: student(harry) ⊃ teacher(snape)
Truthtable IF/THEN
NOT (¬)
Symbol:    ¬ 
Sentence:  Harry is not a student. 
Formula: ¬student(harry)
The original formula has to be false for the overall statement to be true.
Example: Only if student(harry) is false, ¬student(harry) is true.
Truthtable NOT