Given the argument: W ∨ ∼ S / E ∨ ∼ A / (K ∨ L) ≡ (A • S) // L ⊃ (E • W)
This argument is:
A) Invalid.
B) Uncogent.
C) Valid.
D) Cogent.
E) Sound.

Question

Quizplus · Accepted Answer

The argument is valid because it follows the form of a valid argument called Disjunctive Syllogism. The first premise states that either W is true or S is false, the second premise states that either E is true or A is false, and the conclusion states that if either K or L is true, and A and S are true, then L implies E and W. This argument is valid because if either K or L is true, and A and S are true, then either W is true, or E is true, or both are true. Thus, if L is true, then E and W must also be true, which is what the conclusion states. This argument is not cogent because the premises have not been established as true, and it is not sound because the premises are not true.

Given the Argument: W ∨ ∼ S / E ∨