Construct a complete truth table for each of the following arguments. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)
-G ⊃ H
∼I ⊃ ∼G / G ⊃ (H • I)
A) Valid
B) Invalid. Counterexample when G, H, and I are true
C) Invalid. Counterexample when H and G are true and I is false
D) Invalid. Counterexample when I and G are true and H is false
E) Invalid. Counterexample when H and I are true and G is false

Question

Quizplus · Accepted Answer

The argument is valid because the conclusion is true whenever the premises are true.

Construct a Complete Truth Table for Each of the Following