Chapter 3 Self Test
a. Truth-functional consistency
b. Truth-functional truth
2. Give the characteristic truth-tables for the following connectives and state the
semantic rules in accord with which those tables are produced.
P ~P P Q P & Q P v Q P ≡ Q
P ⊃ Q
T T T
F T F
3. Assuming that ‘A’ has the truth-value T and ‘B’ has the truth-value F, what is the
truth-value of each of the following sentences?
a. A ≡ B
b. B v B
c. B ⊃ A
e. B & A
4. Use the truth-table method to answer the following questions. In each case construct
a full truth-table. Be sure to state your results and say what it is about your truth
table that justifies them.
a. Is the following sentence truth-functionally true, truth-functionally false, or
~[F & (H ≡ J)] ⊃ (~H v J)
b. Is the following argument truth-functionally valid?
~A ⊃ (C ≡ A)
(H v A) ≡ C
~C ⊃ (A ⊃ H)
5. Which of the following