Question

This argument is:Q ⊃ (N ∨ S) / N ⊃ (L ⊃ B) / (S ∨ E) ⊃ (Q ⊃ B) / Q ≡ ∼ B

a.Consistent
b.Non Consistent

Answer 1

The given argument is consistent based on the analysis of the premises.

Step-by-step explanation:

The given argument is:

1. Q ⊃ (N ∨ S)
2. N ⊃ (L ⊃ B)
3. (S ∨ E) ⊃ (Q ⊃ B)
4. Q ≡ ¬B

To assess the consistency of this argument, we need to check if it is possible for all the premises to be true while the conclusion is false. This means that there are no contradictory statements in the given argument.

Let's analyze the premises one by one:

1. If Q is true, then either N or S (or both) must be true. This statement is generally true, and there is no contradiction here.
2. If N is true, then L implies B. Again, this is a valid argument, and there is no contradiction.
3. If either S or E is true, then Q implies B. This premise is also valid and does not contain any contradiction.

Finally, we have the conclusion that Q is equivalent to the negation of B. This statement appears to be a contradiction, as it claims that Q is true when B is false. However, we cannot conclude that the argument is inconsistent solely based on the conclusion. To determine the consistency of the argument, we need to analyze the premises only.

Based on the analysis of the premises, we can conclude that the given argument is consistent.