A universal negative proposition denies that any member of the subject class belongs to the predicate class. Its standard form is "No S are P", and in the traditional scheme it is labelled as an E-type proposition. This combination of universal scope and negative quality fits the description in the stem. Hence it is called a universal negative proposition.
Option A:
Option A, particular negative, is limited in scope to some members of the subject class, as in "Some S are not P". It does not deny membership for all subjects and so cannot represent the form given in the question.
Option B:
Option B is correct because universal negative precisely designates a statement that denies the predicate of every member of the subject class. It is a key category in the square of opposition and contrasts with universal affirmative statements. This alignment makes universal negative the appropriate choice.
Option C:
Option C, universal affirmative, asserts that all members of the subject class belong to the predicate class. It has the opposite quality to the negative proposition described and therefore does not match.
Option D:
Option D, particular affirmative, affirms the predicate for at least one member of the subject class. It is both narrower in scope and positive in quality, which differs from the universal denial described in the stem.
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