Which of the following statements are logically equivalent? (A) No Carnivores…
2024
Which of the following statements are logically equivalent?
(A) No Carnivores are Cats. (B) Some Carnivores are not Cats.
(C) All Cats are Carnivores. (D) All non-carnivores are non-cats.
Choose the correct answer:
- A.
(C) and (D) only
- B.
(A) and (D) only
- C.
(A) and (B) only
- D.
(B) and (D) only
Attempted by 5 students.
Show answer & explanation
Correct answer: A
Statement (C) asserts that all Cats are Carnivores. Statement (D) claims that all non-carnivores are non-cats. In formal logic, a universal affirmative proposition is logically equivalent to its contrapositive. Since (D) is the exact contrapositive of (C), they share identical truth conditions and are logically equivalent.