Symbolic logic
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. BKY
9. ∼CKZ
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)
IV. When possible, determine the truth values of the following symbolized state- ments. Let A and B be true, Y and Z false. P and Q have unknown truth values. If the truth value of the statement cannot be determined, write “undetermined.”
1. A¡P
2. Q¡Z
3. Q● Y
4. Q● A
5. P⊃B
6. Z⊃Q
7. A⊃P
8. PK∼P
9. (P⊃A)⊃Z
10. (P⊃A)K(Q⊃B)
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. BKY
9. ∼CKZ
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)
