Introduction to Logic

Truth-Tables I
1a. Conjunction, Negation, and disjunction

Please fill in the missing truth-values in each of the following truth tables:

1.
p
~p
 
T
F

2.
p
 q 
pq
 
T
T
F
F
T
F
F
F
F
 

3.
p
q
 p v q  
 
T
T
T
 
F
T
T
T
F
F

4.

p
~p 
 
F
T

5.
p
q
 pq  
 
T
T
T
F
F
 
F
T
F
 
F
F
F
 

6.
p
q
p v q
  
T
T
T
F
T
 
F
T
T
 
F
F
F
 

7.
p
q
 pq  
T
T
T
 
T
F
F
T
F
 
F
F
F
 

8.
p
q
p v q
 
T
T
T
 
T
F
F
T
T
 
F
F
F
 

9.
p
q
pq
  
T
T
T
 
T
F
F
 
F
T
F
F
F

10.
p
q
p v q
 
T
T
T
 
T
F
T
 
F
T
F
F
F
 

11.
p
q
pq
 
T
T
T
F
F
T
F
F

12.
p
q
p v q
 
T
T
T
F
F
T
F
F