A universal negative proposition has the standard form “No S are P”. It asserts that there is no overlap between the subject class and the predicate class. In traditional terminology this is an E-type proposition, combining universal quantity with negative quality. Thus the complete denial described in the stem is characteristic of a universal negative proposition.
Option A:
Option A, particular affirmative, states that some S are P and thus allows at least one member of the subject class to belong to the predicate class. This is incompatible with the idea that no members belong. Therefore it cannot be correct.
Option B:
Option B is correct because universal negative precisely captures a statement that excludes every subject from the predicate class. This form is central to syllogistic reasoning and to the square of opposition.
Option C:
Option C, universal affirmative, asserts that all S are P, which is the opposite in quality and cannot describe a total denial. It would contradict the kind of proposition mentioned in the question.
Option D:
Option D, particular negative, says that some S are not P, leaving open the possibility that other S might be P. It denies the predicate only of some members, not of all, and so does not fit the stem.
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