Categorical syllogism a syllogism consisting of three categorical Statements (Statements that affirm or deny a relation between two classes of things), in which the Premises connect two classes of things by means of a third class.
Deductive argument
1. All dogs are mammals
2. All mammals are animals
: All dogs are animals
Middle term - Mammals
Never occurs in the Conclusion
Dogs subject term
Animals - Predicate term
Disjunctive Syllogism
syllogism whose Premises are a disjunctive (either_or) Statement and a Statement that affirms or denies one part of the disjunctive Statement.
Hypothetical Syllogism a syllogism whose Premises are a hypothetical (if then) Statement and a Statement that affirms or denies one part of the hypothetical Statement.
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