Use conditional proof or indirect proof and the eighteen rules of inference to establish the truth of

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Use conditional proof or indirect proof and the eighteen rules of inference to establish the truth of the following tautologies.

1. P ⊃ [(P ⊃ Q) ⊃ Q]

2. (∼P ⊃ Q) ∨ (P ⊃ R)

3. P ≡ [P ∨ (Q ⊃ P)]

4. (P ⊃ Q) ⊃ [(P ∙ R) ⊃ (Q ∙ R)]

5. (P ∨ ∼ Q) ⊃ [(∼P ∨ R) ⊃ (Q ⊃ R)]

6. P ≡ [P ∙ (Q ∨ ∼ Q)]

7. (P ⊃ Q) ∨ (∼Q ⊃ P)

8. (P ⊃ Q) ≡ [P ⊃ (P ∙ Q)]

9. [(P ⊃ Q) ∙ (P ⊃ R)] ⊃ [P ⊃ (Q ∙ R)]

10. [∼(P ∙ ∼ Q) ∙ ∼ Q] ⊃ ∼ P

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A Concise Introduction to Logic

ISBN: 978-1305958098

13th edition

Authors: Patrick J. Hurley, Lori Watson

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Question Posted: Feb 13, 2018 10:00 AM

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Use conditional proof or indirect proof and the eighteen rules of inference to establish the truth of

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A Concise Introduction to Logic

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