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

Question

Quizplus · Accepted Answer

The first statement, M ⊃ L, means "If M is true, then L must be true."

The second statement, ∼ (L ⊃ M), can be rewritten as ∼ (M ⊂ L), which means "M does not imply L" or "It is not true that if M is true, then L must be true."

These statements are not contradictory because they do not directly oppose each other. Instead, they could both be true if M is false and L is false (because if M is false, then the first statement is automatically true, and if L is false, then the second statement is automatically true). Therefore, the pair of statements is consistent.

Given the Pair of Statements: M ⊃ L and ∼