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

Question

Quizplus · Accepted Answer

The statements are consistent because there is no inherent contradiction among them. Given the premises, it's possible to construct a scenario where all statements can be true simultaneously, especially considering the logical operators involved (conditional, disjunction, negation, and conjunction). The presence of H • E (H and E are true) does not contradict any of the conditional statements provided, as those conditions could still be satisfied under certain truth assignments to A, G, and W.

Given the Statements: W ⊃ (E ∨ ∼ G)