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Disjunctive syllogism, also known as Modus Tollendo Tollens is a rule of inference of Propositional logic that states that if P or Q is true and not P is true, then Q is true. In standard rule form: In sequent notation: It is the valid argument form: P or Q. Not P. Therefore, Q.

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  • Disjunctive Syllogism
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  • Disjunctive syllogism, also known as Modus Tollendo Tollens is a rule of inference of Propositional logic that states that if P or Q is true and not P is true, then Q is true. In standard rule form: In sequent notation: It is the valid argument form: P or Q. Not P. Therefore, Q.
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abstract
  • Disjunctive syllogism, also known as Modus Tollendo Tollens is a rule of inference of Propositional logic that states that if P or Q is true and not P is true, then Q is true. In standard rule form: In sequent notation: It is the valid argument form: P or Q. Not P. Therefore, Q. Natural Deduction Transformation Rules Rules of inference Modus Ponens | Modus Tollens | Disjunctive Syllogism | Hypothetical Syllogism | Conjunction Introduction | Conjunction Elimination | Disjunction Introduction | Disjunction Elimination | Bicondional Introduction | Biconditional Elimination | Constructive Dilemma | Destructive Dilemma | Absorption | Modus ponendo tollens Rules of Transformation Double Negation | Associative property | Commutative property | Distributive property | DeMorgan's Laws | Tautology | Exportation | Material Implication | Transposition
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