Assuming that A=1, Z=0 and P is unknown, what is the truth value of the following compound wff?

Question

Assuming that A=1, Z=0 and P is unknown, what is the truth value of the following compound wff? 

((P ⊃ A) ⊃ Z)  

Answer 1

Suppose P is true:

T --> T is true, true--> false is false, so the result is false

Suppose P is false:

F-->T is true, true--> false is false, so the result is false

So the result is false regardless of P.

Here is the truth table

P P->true (P-->true)-->False

T T F

F T F