4.)
NSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1. | ∼M ⊃ S |
2. | ∼M |
3. | (M ∨ H) ∨ ∼S |
a. |
M ∨ H 3, Simp |
|
b. |
M ∨ (H ∨ ∼S) 3, Assoc |
|
c. |
∼S 1, 2, MP |
|
d. |
∼ M ∨ S 1, Impl |
|
e. |
H 2, 3, DS |
3.)
NSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1. | G • ∼A |
2. | K ⊃ (G • ∼A) |
3. | G ⊃ M |
a. |
M 1, 3, MP |
|
b. |
K ⊃ (∼A • G) 2, Com |
|
c. |
(K ⊃ G) • ∼A 2, Assoc |
|
d. |
(K ⊃ G ) ⊃ ∼A 2, Exp |
|
e. |
K 1, 2, MP |
2.)
INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1. | ~~A |
2. | G ⊃ (A ⊃ ∼L) |
3. |
∼A ∨ ∼G |
a. |
G 1, 3, DS |
|
b. |
(G ⊃ A) ⊃ ∼L 2, Assoc |
|
c. |
∼L 1, 2, MP |
|
d. |
A ∨ G 3, DN |
|
e. |
G ⊃ (∼∼L ⊃ ~A) 2, Trans |
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