Chapter 7.2 - Truth Tables

Question 1

Negation

Answer 1

T | F
F | T

Question 2

Conjunction

Answer 2

p  q  |  p . q
---------------
T  T  |   T
T  F  |   F
F  T  |   F
F  F  |   F

Question 3

Disjunction

Answer 3

p  q  |  p v q
------------------
T  T  |   T
T  F  |   T
F  T  |   T
F  F  |   F

Question 4

Conditional

Answer 4

p  q   |  p --> q
---------------------
T  T   |   T
T  F   |   F
F  T   |   T
F  F   |   T

Question 5

Biconditional

Answer 5

p  q   |  p  q
-----------------------
T  T   |    T
T  F   |    F
F  T   |    F
F  F   |    T

Question 6

Tautology

Answer 6

True regardless of the truth values of its atomic components.

Question 7

Contradiction

Answer 7

False regardless of the truth values of its atomic components.

Question 8

Contingent

Answer 8

If it is true on some assignments of truth values to its atomic components and false on others.

Question 9

Logically equivalent

Answer 9

If they agree in truth value regardless of the truth values assigned to their atomic components.