Truth Table | Definition, Examples & Rules
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Truth Table | Definition, Examples & Rules
See truth table examples to learn about conjunction, disjunction, and implication truth tables. Learn the rules and see basic and complex truth tables. Learn common argument structures and their validity based off of their truth tables.
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SOLVED: TABLE 1 Rules of Inference:Rule of InferenceTautology (p ∧ (p → q)) → qNameModus ponensp → qp ∧ q → pModus tollensp ∨ q → ¬r((p → q) ∧ (q → r)) → (p → r)Hypothetical syllogismp ∨ q((p ∨ q) ∧ ¬p) ∨ qDisjunctive syllogism¬pp ∨ (p ∨ q)Additionp ∨ qp ∧ q(p ∧ q) → pSimplification((p) ∧ (q)) → (p ∧ q)Conjunctionp ∧ qp ∨ q → ¬p ∨ r ∨ r((p ∨ q) ∧ (¬p ∨ r)) ∨ (q ∨ r)Resolution
SOLVED: TABLE 1 Rules of Inference:Rule of InferenceTautology (p ∧ (p → q)) → qNameModus ponensp → qp ∧ q → pModus tollensp ∨ q → ¬r((p → q) ∧ (q → r)) → (p → r)Hypothetical syllogismp ∨ q((p ∨ q) ∧ ¬p) ∨ qDisjunctive syllogism¬pp ∨ (p ∨ q)Additionp ∨ qp ∧ q(p ∧ q) → pSimplification((p) ∧ (q)) → (p ∧ q)Conjunctionp ∧ qp ∨ q → ¬p ∨ r ∨ r((p ∨ q) ∧ (¬p ∨ r)) ∨ (q ∨ r)Resolution
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