Given the statements: R ⊃ (M ∨ ∼ C) / (P ∨ U) ⊃ C / M ⊃ ∼ P / R ≡ U
These statements are:
A) Contradictory.
B) Tautologous.
C) Valid.
D) Inconsistent.
E) Consistent.

Question

Quizplus · Accepted Answer

The statements are consistent because they can all be true at the same time without leading to a contradiction. Given that R is equivalent to U, if R is true, then U is true, which can make the second statement true if C is true. M leading to not P does not contradict any of the other statements directly, and the first statement can also be true under certain conditions (e.g., if R is true, then either M is true or C is not true). There is no inherent contradiction among these statements, making them consistent with each other.

Given the Statements: R ⊃ (M ∨ ∼ C)