Determine the truth values of the following symbolized statements. Let A, B, and C be true and

Question:

Determine the truth values of the following symbolized statements. Let A, B, and C be true and X, Y, and Z be false. Circle your answer.

1. A ∙­ X

2. B ∙ ∼­ ­Y

3. X ∨ ∼­Y

4. ∼­C ∨ Z

5. B ⊃ ∼­Z

6. Y ⊃ ∼­A

7. ∼­X ⊃ Z

8. B ≡ Y

9. ­C ≡ Z

10. ∼ ­(A ∙ ∼­ ­Z )

11. ∼­B ∨ (Y ⊃ A)

12. A ⊃ ­∼(Z ∨ ∼ ­Y )

13. (A ∙­ Y) ∨ (­∼Z ∙­ C)

14. ∼­(X ∨ ∼ ­B) ∙­ (∼Y ∨ A)

15. (Y ⊃ C) ∙­ ∼ ­(B ⊃ ∼ ­X)

16. (C ≡ ∼­A) ∨ (Y ≡ Z)

17. ∼­(A ∙­ ∼­C) ⊃ (∼­X ⊃ B)

18. ∼­[(B ∨ ∼­C) ­⊃ ­(X ∨ ­∼Z)]

19. ∼­[­∼ (X ⊃ C) ≡ ∼­ (B ⊃ Z )]

20. (X ⊃ Z) ⊃ [(B ≡ ­∼ X) ∙­ ∼ (C ∨ ∼ ­A)]

21. [(∼­X ∨ Z) ⊃ (­∼C ∨ B)] ∙­ [(­∼X ∙­ A) ⊃ (∼­Y ∙­ Z)]

22. ∼­[(A ≡ X) ∨ (Z ∼ Y)] ⊃ [(­Y ∙ ∼ B) ∙­ (Z ⊃ C)]

23. [(B ∙­ ∼­C) ∨ (X ∙­ ∼­Y)] ⊃ ­[(Y ∙­ ∼ ­X) ∨ (A ∙ ∨­ Z)]

24. ­∼{∼­[(C ∨ ∼­B) ∙ (Z ∨ ∼ ­A)] ∙­ ∼ ­[­∼ (B ∨ Y) ∙­ (∼­X ∨ Z)]}

25. (Z ⊃ C) ⊃ {[(­∼X ⊃ B) ⊃ (C ⊃ Y)] ≡ [(Z ⊃ X) ⊃ (∼­Y ∼ Z)]}

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A Concise Introduction to Logic

ISBN: 978-1305958098

13th edition

Authors: Patrick J. Hurley, Lori Watson

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