Which of the following propositions is contrary to the proposition “All cows are herbivores”?

Correct option is D

In classical logic, contrary propositions are two universal statements (both affirmative and negative) that cannot both be true at the same time but can both be false.
· The given proposition, “All cows are herbivores,” is a universal affirmative statement. Its contrary would be a universal negative statement, which is:
· (d) No cows are herbivores.
If “All cows are herbivores” is true, then “No cows are herbivores” must be false, and vice versa. However, both could be false if, for example, only some cows are herbivores.
Information Booster:
· (a) All herbivores are cows: This is unrelated, as it does not directly oppose the original statement and is not a contrary.
· (b) Some cows are herbivores: This is a particular affirmative and is a subaltern of the original proposition.
· (c) Some cows are not herbivores: This is a sub-contrary or contradictory of the original statement, not a contrary.
Additional Knowledge:
· Contraries are universal statements with opposite truth values, like “All” vs. “None.”
· Contradictory statements (e.g., “Some cows are not herbivores”) cannot both be true or false at the same time, unlike contraries.