Which of the following propositions are such that the truth of one entails the falsity of the other but not vice versa? Choose the correct answer from the options given below:
1.All bananas are fruits.
2.No bananas are fruits.
3.Some bananas are fruits.
4.Some bananas are not fruits.
A1 & 4 only
B3 & 4 only
C1 & 2 only ✓ Correct
D3 & 4 only
Correct answer: (C) 1 & 2 only
Explanation
Statements 1 (All bananas are fruits) and 2 (No bananas are fruits) are so related that the truth of either forces the other's falsity, while falsity does not transfer back.
These are the universal affirmative (A) and universal negative (E), which stand as contraries.
Contraries cannot both be true, so if one is true the other must be false.
Yet contraries can both be false, so the falsity of one leaves the other undetermined rather than true.
This one-way passage from truth to falsity, absent for contradictories which transfer both ways, marks the contrary relation.
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