# GNED 1101 Chapter Notes - Chapter 1.4: Truth Table, Logical Biconditional

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17 May 2018
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1.4 Truth Tables for Conditional and Biconditional
Conditional Truth Table (If/Then)
P
Q
P Q
T
T
T
T
F
F
F
T
T
F
F
T
***A conditional is false only when the antecedent is true and the consequent is false
(TF) = F
Example 1
o q p
P
Q
Q
p
q p
T
T
F
F
T
T
F
T
F
F
F
T
F
T
T
F
F
T
T
T
Notice that pq, and q p have the same truth value in each of the four cases
o So whenever there is a conditional statement, you can reverse and negate the
atecedet ad coseuet, ad the stateet’s tuth alue ill ot chage
o Ie; these two statements have the same truth value
If you’e cool, you ot eaclothig ith youschool ae o it
If you wear clothing with your school name on it, youre not cool
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