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

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

(T→F) = 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 p→q, 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

atecedet ad coseuet, ad the stateet’s tuth alue ill ot chage

o Ie; these two statements have the same truth value

▪ If you’e cool, you ot ea clothig ith you school ae o it

▪ If you wear clothing with your school name on it, youre not cool

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