Given the statements: H ⊃ E / M ⊃ R / (M • E) ⊃ G / (R • G) ⊃ E / M ∨ E
These statements are:
A) Invalid.
B) Tautologous.
C) Consistent.
D) Logically equivalent.
E) Inconsistent.

Question

Quizplus · Accepted Answer

These statements are consistent because there is no logical contradiction. Although we cannot prove that they are all true (i.e. they may be true or false), there is no case where they can all be false at the same time. Therefore, they are consistent.

Given the Statements: H ⊃ E / M ⊃ R