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Posted: July 9th, 2022
Philosophy
Question:
Instruction: Choose the answer with the set of truth values that proves invalidity for the following argument: (A ⋅ B) ⊃ C C ∴ ~A v ~B A is true; B is true; C is true A is true; B is false; C is true A is false; B is true; C is false A is false; B is false; C is false 10 points QUESTION 2 Instructions: What is the rule of inference used to justify the following proof? (S • P) ⊃ (Q • R) (S • P) ∴(Q • R) C.D. Abs. M.P. Conj. Add. 10 points QUESTION 3 Instructions: State the justification for line 5: 1. A ⊃ D 2. D ⊃ C 3. ~C ∴ ~A v (G • H) 4. ~D 5. ~A 6. ~A v (G • H) 1, 4, M.T. 2, 3, M.T. 1, 4, M.P. 2, 3, M.P. 3, Add. 10 points QUESTION 4 Instructions: In the following one-step argument, state the rule of inference by which its conclusion follows from its premise. [(W ≡ T) ⋅ (A ⊃ B)] ⋅ (E v F) ∴ (W ≡ T) ⋅ [(A ⊃ B) ⋅ (E v F)] De M. Com. Impl. Assoc. Trans. 10 points QUESTION 5 Instructions: Identify the correct rule of inference shown: (p ⊃ q) • (r ⊃ s) p v r ∴ q v s C.D. Abs. Simp. Conj. Add. 10 points QUESTION 6 Instructions: State the justification for line 4: (A⊃B) • (C ⊃D) A • F ∴B v D A A v C B v D 3, Add. 1, 2, Conj. 2, 3, M.T. 2, Simp. 1, 2, C.D. 10 points QUESTION 7 Instructions: In the following one-step argument, state the rule of inference by which its conclusion follows from its premise. ~~~{[(W ≡ T) ⋅ (A ⊃ B)] ⋅ (E v F)} ∴~{[(W ≡ T) ⋅ (A ⊃ B)] ⋅ (E v F)} D.N. Com. Impl. Assoc. Trans. 10 points QUESTION 8 Instructions: What is the rule of inference used to justify the following proof? (Q v ~Q) • (P • R) ∴(Q v ~Q) C.D. Abs. Simp. Conj. Add. 10 points QUESTION 9 Instructions: State the justification for line 5: 1. (A ⊃ B) • (C ⊃ D) 2. A • F ∴ B v D 3. A 4. A v C 5. B v D 3, Add. 1, 2, Conj. 2, 3, M.T. 2, Simp. 1, 4, C.D. 10 points QUESTION 10 Instructions: Identify the correct rule of inference shown: p ⊃ q ∴p ⊃ (p • q) C.D. Abs. Simp. Conj. Add. 10 points Click Save and Submit to save and submit. Click Save All Answers to save all answers
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