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Related to Categorical syllogism: Disjunctive syllogism
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The first statement in the categorical syllogism is a universal premise relating to "all" and the second is a particular premise relating to a particular group or individual.
A conclusion validly deduced cannot be otherwise, whether in the ground-breaking system of Aristotle's categorical syllogism, or more recent formalisms.
Before it was completely replaced by Boethius' On Categorical Syllogisms, a scholar who got to the end of the Prior Analytics was advanced indeed.