Phil 102 OCT 23.docx - (E-set 29-31 7.5A(any 5 7.5B(all and 7.5C(any 5 1 Correct You are correct The WFF ~A->(A-> B has the truth value T in every row

Phil 102 OCT 23.docx - (E-set 29-31 7.5A(any 5 7.5B(all and...

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(E-set 29-31): 7.5A (any 5), 7.5B (all), and 7.5C (any 5) 1. Correct! You are correct! The WFF ~A -> (A -> B) has the truth value T in every row and is therefore a tautology; it is true regardless of the truth values assigned to the atomic statements that compose it. Your truth table: A B | ~A → (A → B) ----|--------------- T T | F T T T F | F T F F T | T T T F F | T T T 2. Correct! You are correct! The WFF ~F -> G is true in at least one row and it is false in at least one row and is therefore contingent. Your truth table: F G | ~F → G ----|-------- T T | F T T F | F T F T | T T F F | T F 3. Correct! You are correct! The WFF ~S <-> S has the truth value F in every row and is therefore a contradiction; it is false regardless of the truth values assigned to the atomic statements that compose it. Your truth table: S | ~S ↔ S --|--------- T | F F F | T F
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4. Correct! You are correct! The WFF B -> (A -> B) has the truth value T in every row and is therefore a tautology; it is true regardless of the truth values assigned to the atomic statements that compose it. Your truth table: B A | B → (A → B) ----|-------------- T T | T T T F | T T F T | T F F F | T T 5. Correct! You are correct! The WFF F -> [~(F . G) -> ~G] has the truth value T
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