Which of the following propositions are Contrary?
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:

Correct option is B

Contrary propositions are two universal statements that cannot both be true at the same time, but they can both be false. In this case:
· A. "All cows are herbivores" (Universal Affirmative)
· B. "No cows are herbivores" (Universal Negative)
These two propositions are Contrary because:
· If proposition A is true (all cows are herbivores), then proposition B cannot be true (no cows are herbivores).
· However, both A and B can be false (for example, some cows are herbivores, and some are not).
Explanation:
· C and D are sub-contrary propositions. They can both be true, but they cannot both be false.
· A and C are not contrary because they are of different forms (universal vs. particular).
· A and D are not contrary, as they do not follow the relationship of universal opposition.
Information booster:
1. Contrary propositions involve a relationship between two universal statements, where both cannot be true, but both can be false.
2. Sub-contrary propositions involve particular statements, where both can be true, but not both false.