Wiki-ch2
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.
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