A categorical syllogism is composed entirely of categorical propositions, each stating a relation between two classes. Both premises and the conclusion are of this categorical form. This type of syllogism is central to traditional Aristotelian logic. Therefore the syllogism described in the stem is called categorical.
Option A:
Option A names categorical, which exactly denotes syllogisms whose statements are all categorical propositions. The pattern uses quantifiers such as all, some or no to relate classes. Hence this option correctly answers the question.
Option B:
Option B, hypothetical, involves at least one conditional premise of the form βifβ¦thenβ. Such syllogisms are structurally different from purely categorical ones. Thus hypothetical does not fit the description given.
Option C:
Option C, disjunctive, includes a disjunctive premise presenting alternatives with βeitherβ¦orβ. It is not restricted to categorical propositions alone. Therefore disjunctive is not the right term for a syllogism composed solely of categorical statements.
Option D:
Option D, conjunctive, is not a standard name for a distinct class of syllogisms in traditional logic. Conjunction is a connective, but a conjunctive syllogism is not the usual label here. Hence conjunctive cannot be the correct answer.
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