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Words related to syllogism

deductive reasoning in which a conclusion is derived from two premises

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Alternatively, a categorical syllogism may define the relationships between categories and an individual instance such as:
From these examples it is clear that Rule, Specific Case, and Result correspond to Major Premise, Minor Premise, and Conclusion in an Aristotelian categorical syllogism.
I have emphasized the above discussion because a claim often made about Burley is that he fully understood and argued for the priority of propositional logic, subordinating even the categorical syllogism to propositional rules of inference.
18) "[Syllogistic argument refers] to any argument that either is a standard-form categorical syllogism or can be reformulated as a standard-form categorical syllogism without any loss or change of meaning" (Irving M.
Inasmuch as the deductive system of the categorical syllogism can be seen now to be a significant subset of the first-order predicate calculus, which is the deductive system prescribed by Hempel and Oppenheim, the difference between the deductive requirements of the two metatheories is really only that of the greater scope, power, and elegance of the more recent logic.