Related Argument Forms
Unlike modus ponendo ponens and modus ponendo tollens, with which it should not be confused, disjunctive syllogism is often not made an explicit rule or axiom of logical systems, as the above arguments can be proven with a (slightly devious) combination of reductio ad absurdum and disjunction elimination.
Other forms of syllogism:
- hypothetical syllogism
- categorical syllogism
Disjunctive syllogism holds in classical propositional logic and intuitionistic logic, but not in some paraconsistent logics.
Read more about this topic: Disjunctive Syllogism
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