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SYMBOLIC LOGIC UNIT 5: TRUTH TABLES FOR TESTING VALIDITY SYMBOLIC LOGIC UNIT 6: FURTHER APPLICATIONS OF THE TRUTH TABLE METHOD 4 Truth Table Skills: Testing whether an argument form is valid . (Equivalently: testing whether one or

  1. SYMBOLIC LOGIC UNIT 5: TRUTH TABLES FOR TESTING VALIDITY

  2. SYMBOLIC LOGIC UNIT 6: FURTHER APPLICATIONS OF THE TRUTH TABLE METHOD

  3. 4 Truth Table Skills: • Testing whether an argument form is valid . • (Equivalently: testing whether one or more statements logically imply another.) • Testing whether a statement form is a tautology , a contradiction , or a contingency . • Testing whether two statement forms are logically equivalent . • Testing whether two or more statement forms are consistent or inconsistent .

  5. p q r s t w T T T T T T T T T T T F T T T T F T T T T T F F T T T F T T T T T F T F T T T F F T T T T F F F T T F T T T T T F T T F T T F T F T T T F T F F T T F F T T T T F F T F T T F F F T T T F F F F T F T T T T T F T T T F T F T T F T T F T T F F T F T F T T T F T F T F T F T F F T T F T F F F T F F T T T T F F T T F T F F T F T T F F T F F T F F F T T T F F F T F T F F F F T T F F F F F F T T T T T F T T T T F F T T T F T F T T T F F F T T F T T F T T F T F F T T F F T F T T F F F F T F T T T F T F T T F F T F T F T F T F T F F F T F F T T F T F F T F F T F F F T F T F F F F F F T T T T F F T T T F F F T T F T F F T T F F F F T F T T F F T F T F F F T F F T F F T F F F F F F T T T F F F T T F F F F T F T F F F T F F F F F F T T F F F F T F F F F F F T F F F F F F

  6. p , p ⊃ q / ∴ q p q p p ⊃ q q T T T T T T F T F F F T F T T F F F T F

  7. 1b. p ⊃ q, ~p / ∴ ~q p q p ⊃ q ~p ~q T T T F F T F F

  8. 1c. p ∨ q, ~p ∨ ~q / ∴ ~p ≡ ~q p q p ∨ q ~p ∨ ~q ~p ≡ ~q T T T F F T F F

  9. p q r p ∨ q ~p ∨ ~q ~p ≡ ~q 1c. p ∨ q T T T ~p ∨ ~q T T F T F T ———— T F F / ∴ ~p ≡ ~q F T T F T F F F T F F F

  10. p q T T T F F T F F

  11. p q r T T T T T F T F T T F F F T T F T F F F T F F F

  12. p q r s T T T T T T T F T T F T T T F F T F T T T F T F T F F T T F F F F T T T F T T F F T F T F T F F F F T T F F T F F F F T F F F F

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