Given the statements: C ⊃ L / K ⊃ ∼H / L ⊃ (N ⊃ K) / C ⊃ (H ⊃ N) / C • H
These statements are:
A) Contradictory.
B) Tautologous.
C) Consistent.
D) Inconsistent.
E) Valid.

Question

Quizplus · Accepted Answer

If we assume that C is true, then from the first premise C ⊃ L we can infer that L is true. From the third premise L ⊃ (N ⊃ K), since L is true, then we can infer that N ⊃ K is true. From the fourth premise C ⊃ (H ⊃ N), since C is true, we can infer that H ⊃ N is true. Combining N ⊃ K and H ⊃ N, we can use hypothetical syllogism to infer that H ⊃ K is true. 
However, from the second premise K ⊃ ∼H, if K is true, then ∼H (not H) is true. 
Thus, we have a contradiction - H ⊃ K and ∼H cannot both be true at the same time. Therefore, the statements are inconsistent.

Given the Statements: C ⊃ L / K ⊃ ∼H