Which of the following statements are contraries?
(A) All men are mortal

(B) Some men are mortal

(C) Some men are not mortal

(D) No men are mortal

Choose the correct answer from the options given below:

Correct option is D

Statements (A) All men are mortal and (D) No men are mortal are contraries. In logic, contraries are two universal statements (e.g., “all” and “none”) that cannot both be true but can both be false. In this case, both cannot be true at the same time (since men cannot be both mortal and not mortal), but both could be false (some men might be mortal, for example).
Information Booster:
1. Contraries: Universal statements that cannot both be true but may both be false.
2. Subcontraries: Particular statements that cannot both be false but may both be true.
3. Contradictories: Statements where one must be true, and the other must be false.
4. All vs None: Typically found in contrary relationships in formal logic.