Use truth tables to determine whether the following pairs of symbolized statements are logically equivalent, contradictory, consistent,

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Use truth tables to determine whether the following pairs of symbolized statements are logically equivalent, contradictory, consistent, or inconsistent. First, determine whether the pairs of propositions are logically equivalent or contradictory; then, if these relations do not apply, determine if they are consistent or inconsistent.

1. ∼­D ∨ B…………………………..∼­(D ∙­ ­B)

2. F ∙­ M……………………………..∼­(F ∨ M)

3. ∼­K ⊃ L…………………………..K ⊃ ∼ ­L

4. R ∨ ∼­S……………………………S ∙ ∼­ ­R

5. ­∼ A ≡ X…………………………..(X ∙­ ∼ ­A) ∨ (A ∙ ∼ ­X)

6. H ≡ ­∼ G…………………………..(G ∙­ H) ∨ (∼­G ∙ ∼­ ­H)

7. (E ⊃ C) ⊃ L………………………E ⊃ (C ⊃ L)

8. N ∙­ (A ∨ ­∼E)……………………... ∼­A ∙ ­(E ∨ ∼ ­N)

9. M ⊃ (K ⊃ P)………………………(K ∙­ M) ⊃ P

10. W ≡ (B ∙­ T)………………………W ∙­ (T ⊃ ∼ ­B)

11. G ∙­ (E ∨ P)………………………∼ ­(G ∙­ E) ∙ ∼ ­(G ∙ P)

12. R ∙­ (Q ∨ S)……………………...(S ∨ R) ∙­ (Q ∨ R)

13. H ∙­ (K ∨ J)……………………….(J ∙­ H) ∨ (H ∙­ K)

14. Z ∙­ (C ≡ P)……………………….C ≡ (Z ∙ ∼ P)

15. Q ⊃ ­∼ (K ∨ F)………………….(K ∙ Q) ∨ (F ∙­ Q)

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Related Book For  book-img-for-question

A Concise Introduction to Logic

ISBN: 978-1305958098

13th edition

Authors: Patrick J. Hurley, Lori Watson

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