In the square of opposition of propositions, which of the following is correct?
2023
In the square of opposition of propositions, which of the following is correct?
- A.
If A is given as false, O is undetermined.
- B.
If E is given as false, I is false.
- C.
If I is given as false, A is false.
- D.
If O is given as false, E is true.
Attempted by 5 students.
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Correct answer: C
In the traditional square of opposition, A and O are contradictories, and E and I are contradictories. Also, through subalternation, falsity moves upward: if a particular proposition is false, the corresponding universal proposition is also false. Therefore, if I (particular affirmative) is false, A (universal affirmative) must also be false. Hence, the correct answer is Option C.