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In classical logic, disjunctive syllogism (historically known as modus tollendo ponens (MTP), Latin for "mode that affirms by denying") is a valid argument form which is a syllogism having a disjunctive statement for one of its premises.
Propositional logic, Related argument forms & Formal notation
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syllogism disjunctive logic rule propositional displaystyle statement choose therefore disjunction argument example logical known one soup salad related also form
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Disjunctive syllogism | Field | Propositional calculus | 1.00 | infobox |
| Disjunctive syllogism | Statement | If P {\displaystyle P} is true or Q {\displaystyle Q} is true, and P {\displaystyle P} is false, then Q {\displaystyle Q} is true. | 1.00 | infobox |
| Disjunctive syllogism | Symbolic statement | P ∨ Q , ¬ P ∴ Q {\displaystyle {\frac {P\lor Q,\neg P}{\therefore Q}}} | 1.00 | infobox |
| Disjunctive syllogism | Type | Rule of inference | 1.00 | infobox |
| Disjunctive syllogism | related to Formal notation | For | 0.60 | section |
| Disjunctive syllogism | related to Propositional logic | In | 0.60 | section |
| Disjunctive syllogism | related to Propositional logic | If | 0.60 | section |
| Disjunctive syllogism | related to Propositional logic | Equivalently | 0.60 | section |
| Disjunctive syllogism | related to Propositional logic | The | 0.60 | section |
| Disjunctive syllogism | related to Propositional logic | For | 0.60 | section |
| Disjunctive syllogism | related to Propositional logic | It | 0.60 | section |
| Disjunctive syllogism | related to Related argument forms | Unlike | 0.60 | section |
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