Which of the following propositions cannot both be false, though they can both…
2024
Which of the following propositions cannot both be false, though they can both be true ?
(A) All cows are herbivores. (B) No cows are herbivores.
(C) Some cows are herbivores. (D) Some cows are not herbivores.
Choose the correct answer from the options given below :
- A.
(A) and (D) Only
- B.
(C) and (D) Only
- C.
(B) and (C) Only
- D.
(A) and (C) Only
Attempted by 14 students.
Show answer & explanation
Correct answer: B
The question asks for propositions that cannot both be false but can both be true. This describes the relationship of subcontraries in the Square of Opposition. Subcontraries exist between the Particular Affirmative (I) and Particular Negative (O) propositions. In this context, (C) 'Some cows are herbivores' is an I proposition and (D) 'Some cows are not herbivores' is an O proposition. Thus, options (C) and (D) form the correct pair.