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)]}
Step by Step Answer:
A Concise Introduction to Logic
ISBN: 978-1305958098
13th edition
Authors: Patrick J. Hurley, Lori Watson