Which of the following is contradictory to the proposition 'All cows are vegetarian'?

AAll vegetarians are cows.

BAll cows are vegetarians.

CSome cows are not vegetarians. ✓ Correct

DNo cow is vegetarian.

Correct answer: (C) Some cows are not vegetarians.

Explanation

The contradictory of "All cows are vegetarian" is "Some cows are not vegetarians".

The given proposition is the universal affirmative A.

The contradictory of an A proposition is the particular negative O.

O denies of some subject what A affirms of all, along the diagonal of the square.

The two can never share a truth value, one true forcing the other false.

This exact opposition marks "Some cows are not vegetarians" as its contradictory.

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