Given the statement: (A ∨ ∼ S) • (S • ∼ A)
This statement is:
A) Valid.
B) Tautologous.
C) Self-contradictory.
D) Contingent.
E) Inconsistent.

Question

Quizplus · Accepted Answer

EThe statement is self-contradictory and inconsistent because the two parts of the statement cannot both be true at the same time. The first part, (A ∨ ∼ S), asserts that either A is true or S is not true, while the second part, (S • ∼ A), asserts that S is true and A is not true. These conditions cannot be satisfied simultaneously, making the statement self-contradictory and inconsistent.

Given the Statement: (A ∨ ∼ S) • (S •