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Which of the following statements are so related that they cannot both be false, although they can both be true?

1.Some professors are spiritualists
2.All professors are spiritualists
3.No professors are spiritualists
4.Some professors are not spiritualists
A2, 3
B2, 4
C1, 4 ✓ Correct
D1, 3
Correct answer: (C) 1, 4
Explanation

Statement 1 and Statement 4 are sub-contraries and form the required pair.

The relation sought bars both from being false but permits both being true.

Statement 1 is the particular affirmative, Statement 4 the particular negative.

On the square of opposition the two particular propositions are sub-contraries.

At least one of them must be true, so they cannot both be false together.

This is precisely the sub-contrary relation the question specifies.

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