Given the pair of statements: ∼ (H ≡ R) and ∼ (R ⊃ ∼ H)
These statements are:
A) Logically equivalent.
B) Contradictory.
C) Consistent.
D) Inconsistent.
E) Invalid.

Question

Quizplus · Accepted Answer

The statements are inconsistent because they cannot both be true at the same time. The first statement negates the equivalence between H and R, while the second statement negates the implication from R to not H, leading to a logical conflict.

Given the Pair of Statements: ∼ (H ≡ R) and ∼