2. Determine the interpretation showing that the following implication claim is false: Q ∨ P, (¬Q → ¬R) |= R → P a) I (P

[answerhappygod]

2. Determine the interpretation showing that the following
implication claim is false:
Q ∨ P, (¬Q → ¬R) |= R → P
a) I (P) = F, I (Q) = F, I (R) = F
b) I (P) = F, I (Q) = T, I (R) = T
c) I (P) = F, I (Q) = T, I (R) = F
d) I (P) = T, I (Q) = T, I (R) = F
3. “If Justin Bieber is Norwegian, then he is a human
being. But he isn’t Norwegian; so he is no human being.” This
passage contains the following formal fallacy:
a) denying the antecedent
b) affirming the consequent
c) equivocation
d) confusing explanations and excuses
4. Determine the interpretation showing that the following
implication claim is false:
(¬P ∨ (Q → R)), Q → (R ∨ S)
|= Q → (¬P ∨ S)
a) I (P) = T, I (Q) = T, I (R) = T, I (S) = F
b) I (P) = T, I (Q) = T, I (R) = T, I (S) = T
c) I (P) = F, I (Q) = T, I (R) = T, I (S) = F
d) I (P) = T, I (Q) = F, I (R) = T, I (S) = F
5. Relative to the interpretation I (P) = T, I (Q) = F, and
I (R) = F, the following LSL-sentence is:
(¬P ↔¬Q) ↔ (R ∨ ¬R)
a) True
b) False